Statistics for Business Final
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Course Introduction
Statistics for Business introduces students to fundamental statistical concepts and methodologies essential for informed decision-making in the business environment. The course covers topics such as descriptive statistics, probability distributions, inferential statistics, hypothesis testing, regression analysis, and statistical process control. Emphasis is placed on real-world business applications, enabling students to analyze data, interpret results, and draw actionable conclusions to solve common business problems. Through practical examples and case studies, students develop proficiency in utilizing statistical tools to support strategic planning, operations, marketing, and financial analysis.
Recommended Textbook
Stats Data and Models 1st Canadian Edition by Richard D. De Veaux
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Page 2
Chapter 1: Data
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Sample Questions
Q1) The outcome of tossing a coin
A)Categorical
B)Quantitative Answer: A
Q2) A person's political affiliation
A)Categorical
B)Quantitative Answer: A
Q3) The verdict of a jury
A)Quantitative
B)Categorical Answer: B
Q4) The colour of your house
A)Quantitative
B)Categorical Answer: B
Q5) The number of people on a jury
A)Quantitative
B)Categorical Answer: A
Page 3
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Chapter 2: Displaying and Describing Categorical Data
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Q1) Of the 1,606 applicants to a college program,456 were Black or Hispanic,300 were Asian,and 850 were White.Summarize the relative frequency distribution of ethnicity with a sentence or two in the proper context.
A)Of the 1,606 students who applied for admission to the college program,3% were Black or Hispanic,2% were Asian,and 5% were White.
B)Of the 1,606 students who applied for admission to the college program,54% were Black or Hispanic,35% were Asian,and 53% were White.
C)Of the 1,606 students who applied for admission to the college program,14% were Black,14% were Hispanic,19% were Asian,and 53% were White.
D)Of the 1,606 students accepted in the college program,28% were Black or Hispanic,19% were Asian,and 53% were White.
E)Of the 1,606 students who applied for admission to the college program,28% were Black or Hispanic,19% were Asian,and 53% were White.
Answer: E
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Chapter 3: Displaying and Summarizing Quantitative Data
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Sample Questions
Q1) Which class had the smallest standard deviation?
A)Class 3,because the shape is symmetric and unimodal.
B)Class 3,because the shape has the highest number of students.
C)Class 1,because the shape is fairly symmetric and uniform.
D)Class 2,because the shape is skewed.
E)None,because the classes had the same standard deviation.
Answer: A
Q2) A clerk entering salary data into a company spreadsheet accidentally omitted a "0" in the CEO's salary,listing it as $155,000 instead of $1,550,000.Explain how this error will affect these summary statistics for the company payroll: a)measures of centre: median and mean;and b)measures of spread: range,IQR,and standard deviation. Answer: a)Median will probably be unaffected.The mean will be smaller. b)The range and standard deviation will decrease;IQR will be unaffected.
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5
Chapter 4: Understanding and Comparing Distributions
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Sample Questions
Q1) A local ice cream shop hand scoops each of its ice cream cones.The cones vary in weight from 126 grams to 291 grams with a mean of 181 grams and a standard deviation of 34 grams.The quartiles and median weights are 157,255,and 202 ounces.A customer makes a special order of a 448 ounce cone. Which of the summary statistics might not change if that data value was added to the distribution?
A)Median,range
B)Range,SD
C)Q1,Q3
D)Mean,IQR
E)Median,IQR
Q2) Which class had the largest standard deviation?
A)Class 3,because the shape has the highest number of students.
B)Class 1 or 2,but you can't tell for sure which one.
C)Class 3,because the shape is symmetric.
D)Class 1,because the shape is not perfectly symmetric.
E)None,because the classes had the same standard deviation.
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6
Chapter 5: The Standard Deviation As a Ruler and the Normal Model
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Sample Questions
Q1) A town's average snowfall is 45 cm per year with a standard deviation of 9 cm.Using a Normal model,what values should border the middle 68% of the model?
A)49.5 cm and 40.5 cm
B)45 cm and 41.94 cm
C)54 cm and 36 cm
D)63 cm and 27 cm
E)46.8 cm and 43.2 cm
Q2) After increased patrol,cars on a road travel at speeds averaging 54 km/h.If 10% of vehicles travel above 70 km/h,what approximate standard deviation could represent this model (assuming a Normal model is appropriate)?
A)35.94
B)12.50
C)7
D)5.4
E)-12.50
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Chapter 6: Scatterplots, association, and Correlation
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Sample Questions
Q1) A science instructor assigns a group of students to investigate the relationship between the pH of the water of a river and its water's hardness (measured in grains).Some students wrote these conclusions: "there was a very strong correlation of 1.35 between pH of the water and water's hardness." Is the calculation of the correlation appropriate?
A)Yes: correlation can be greater than 1.
B)Yes: the pH and the hardness of the water are data collected from the same river.
C)No: there is little or no association.
D)No: correlation cannot be greater than 1.
E)No: correlation must be equal to 1.
Q2) An economist noticed that nations with more TV sets have higher life expectancies.He established with a scatterplot a high positive correlation between length of life and number of TV sets.Find the lurking variable,if there is one.
A)Sofa
B)TV sets brands
C)Popcorn
D)Wealth of the nation
E)No lurking variable
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8
Chapter 7: Linear Regression
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Sample Questions
Q1) A random sample of records of electricity usage of homes gives the amount of electricity used in July and size (in square feet)of 135 homes.A regression was done to predict the amount of electricity used (in kilowatt-hours)from size.The residuals plot indicated that a linear model is appropriate.What units does the slope have?
A)Slope is kilowatt-hours per square foot.
B)Slope is kilowatt-hours per house.
C)Slope is square feet per kilowatt-hour.
D)Slope is square feet per house.
E)Slope is houses per kilowatt-hour.
Q2) A random sample of 150 yachts sold in the Canada last year was taken.A regression analysis to predict the price (in thousands of dollars)from length (in metres)was completed.A linear model is appropriate.What are the units of the slope?
A)Slope is yachts per dollar.
B)Slope is metres per dollar.
C)Slope is dollars per metre.
D)Slope is metres per thousand dollars.
E)Slope is thousands of dollars per metre.
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Chapter 8: Regression Wisdom
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Sample Questions
Q1) An economist noticed that nations with more TV sets have higher life expectancy.He established a strong positive association between length of life and number of TV sets.Describe three different possible cause-and-effect relationships that might be present.
A)Perhaps more TV sets cause higher life expectancy,higher life expectancy cause more TV sets,or both could be caused by a lurking variable such as the wealth of the nation.
B)There is only one cause-and-effect relationship: more TV sets cause higher life expectancy.
C)Perhaps more TV sets cause higher life expectancy,higher life expectancy cause more TV sets,or both could be caused by a lurking variable such as the TV sets brand.
D)There is only one cause-and-effect relationship: higher life expectancy cause more TV sets.
E)There are only two cause-and-effect relationships: more TV sets cause higher life expectancy,or higher life expectancy cause more TV sets.
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Chapter
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Q1) The relationship between two quantities x and y is examined.The relationship appears to be fairly linear.A linear model is considered,and the regression analysis is as follows:
Dependent variable: y
R-squared = 87.9%
VARIABLE COEFFICIENT
Intercept 37.74
X -9.97
What does the slope say about the relationship between x and y?
A)For each increase in x of 1,the corresponding average decrease in y is 9.97.
B)For each increase in x of 1,the corresponding average increase in y is 37.74.
C)For each increase in x of 1,the corresponding average decrease in y is 37.74.
D)For each increase in x of 1,the corresponding average increase in y is 9.97.
E)For each increase in x of 1,y decreases by and average of 87.9%.
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Chapter 10: Understanding Randomness
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Sample Questions
Q1) You take a surprise quiz in your astronomy class with 12 multiple-choice questions.You estimated that you would have about a 80% chance of getting any individual question correct.What are your chances of getting them all right? Your simulation should use at least 20 runs.
A)9.6
B)429,981,696
C)96
D)7.3003721
E)0.06871948
Q2) What is the minimum number of times that an ordinary deck of playing cards must be shuffled to make the deck random?
A)7
B)1
C)2
D)8
E)It cannot be made random.
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Page 12
Chapter 11: Sample Surveys
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Questions
Q1) Inside the boxes of a new brand of cereal,is a short survey that can be mailed back for free to the manufacturer.The survey asks the consumer if he or she likes the cereal or not.What,if any,will be the most noticeable bias for this survey?
A)Undercoverage of the population
B)Nonresponse bias
C)Response bias
D)Voluntary response bias
E)There does not seem to be any bias.
Q2) A magazine publisher mails a survey to every subscriber asking about the quality of its subscription service.Mailing a survey to every subscriber represents what?
A)The sampling frame
B)A census
C)The sample
D)The population parameter of interest
E)The sampling method
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Chapter 12: Experiments and Observational Surveys
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Sample Questions
Q1) An examination of the medical records of 10,000 women who died between 1990 and 2000 showed that those who had taken steroids had a higher risk of osteoperosis.Identify the parameter of interest.
A)Year of death
B)Years of steroids use
C)Cause of death
D)Gender
E)Risk of osteoperosis
Q2) An employer suspects that on Mondays the percentage of employees absent from work is higher than on other days.Design a way he could find out whether there is any merit to his belief.Should he use an experiment or an observational study? He would like to have the information as soon as possible.
Q3) In an experiment,explain the difference between the treatments and the factors.
Q4) A researcher would like to investigate whether people suffering from insomnia can be helped by taking regular yoga classes or by reducing their intake of caffeine.Design an appropriate experiment.Be sure to identify the factors,levels,treatments,and response variable.
Q5) Explain the difference between an observational study and an experiment.
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Chapter 13: From Randomness to Probability
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Sample Questions
Q1) Roll a die and record the number.Then flip a coin and record whether it comes up heads or tails.
A){1H,1T,2H,2T,3H,3T,4H,4T,5H,5T,6H,6T},equally likely
B){1H,1T,2H,2T,3H,3T,4H,4T,5H,5T,6H,6T},not equally likely
C){1,2,3,4,5,6,H,T},not equally likely
D){1H,1T,2H,2T,3H,3T,4H,4T,5H,5T,6H,6T,HH,HT,TH,TT},equally likely
E){1H,2T,3H,4T,5H,6T},equally likely
Q2) Toss a coin three times;record the order of heads and tails.
A){HHH,HHT,TTH,TTT},equally likely
B){HHH,HHT,HTH,HHT,HTT,THT,TTH,TTT},equally likely
C){HHH,HHT,TTH,TTT},not equally likely
D){H,T},equally likely
E){HHH,HHT,HTH,HHT,HTT,THT,TTH,TTT},not equally likely
Q3) Roll an ordinary die;record the number.
A){1,2,3,4,5,6},not equally likely
B){1,6},equally likely
C){1,2,3,4},equally likely
D){1,6},not equally likely
E){1,2,3,4,5,6},equally likely
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Page 15
Chapter 14: Probability Rules
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Sample Questions
Q1) In one town in British Columbia,only 24% of days are sunny.A company's records indicate that on sunny days 1.8% of employees will call in sick.When it is not sunny,0.9% of employees will call in sick.What percent of employees call in sick on a randomly selected day?
A)1.8%
B)0.684%
C)0.432%
D)1.116%
E)1.35%
Q2) You are dealt a hand of three cards,one at a time.Find the probability that your cards are all diamonds.
A)0.013
B)0.231
C)0.016
D)0.750
E)0.705
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Chapter 15: Random Variables
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Sample Questions
Q1) A company is interviewing applicants for managerial positions.They plan to hire two people.They have already rejected most candidates and are left with a group of 10 applicants of whom 4 are women.Unable to differentiate further between the applicants,they choose two people at random from this group of 10.Let the random variable X be the number of men that are chosen.Find the expected value of X.
A) = 1.50
B) = 1.20
C) = 0.80
D) = 0.57
E) = 0.93
Q2) You roll a pair of dice.If you get a sum greater than 10 you win $50.If you get a double you win $20.If you get a double and a sum greater than 10 you win a $70.Otherwise you win nothing.Find the standard deviation of the amount you win at this game.
A)$14.08
B)$274.31
C)$25.21
D)$14.91
E)$16.56
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Chapter 16: Probability Models
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Sample Questions
Q1) A basketball player has made 78% of his foul shots during the season.Assuming the shots are independent,find the probability that in tonight's game he misses for the first time on his 5th attempt?
A)0.22
B)0.0814
C)0.2887
D)0.0635
E)0.3702
Q2) In a certain town,8% of female college students suffer from manic-depressive illness.If 230 of the female students are selected at random,what is the standard deviation of the number who suffer from manic-depressive illness?
A)4.11
B)4.29
C)211.6
D)18.4
E)16.93
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Chapter 17: Sampling Distribution Models
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Q1) A national study reported that 76% of high school graduates pursue a college education immediately after graduation.A private high school advertises that 156 of their 196 graduates last year went on to college.Does this school have an unusually high proportion of students going to university?
A)This school can boast an unusually high proportion of students going to university.Their proportion is 0.94 standard deviations above the mean.
B)This school cannot boast an unusually high proportion of students going to university.Their proportion is only 0.71 standard deviations above the mean.
C)This school cannot boast an unusually high proportion of students going to university.Their proportion is only 1.18 standard deviations above the mean.
D)This school cannot boast an unusually high proportion of students going to university.Their proportion is only 0.94 standard deviations above the mean.
E)This school can boast an unusually high proportion of students going to university.Their proportion is 1.41 standard deviations above the mean.
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Chapter 18: Confidence Intervals for Proportions
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Q1) In a survey of 280 adults over 50,80% said they were taking vitamin supplements.Find the margin of error for this survey if we want a 99% confidence in our estimate of the percent of adults over 50 who take vitamin supplements.
A)10.5%
B)13.8%
C)6.16%
D)4.69%
E)17.2%
Q2) How tall is the average student on your campus? To determine this,you measure the height,in centimetres,of a random sample of 200 students and calculate the following confidence interval with 95% confidence: 155.72 < (height)< 181.20
A)There's a 95% chance of a classmate being between 155.72 and 181.20 cm tall.
B)We're 95% sure that the average height of your statistics classmates is between 155.72 and 181.20 cm.
C)The average height of your classmates is between 155.72 and 181.20 cm.
D)We can be 95% sure that statistics students are between 155.72 and 181.20 cm tall.
E)95 of your 100 classmates are between 155.72 and 181.20 cm tall.
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Page 20
Chapter 19: Testing Hypotheses About Proportions
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Q1) During the 2004 season,home teams in the same conference won 189 out of 302 regular season college basketball games.Test the home team advantage hypothesis and state your conclusion.Be sure the appropriate assumptions and conditions are satisfied before you proceed.
Q2) An airline's public relations department says that the airline rarely loses passengers' luggage.It further claims that on those occasions when luggage is lost,92% is recovered and delivered to its owner within 24 hours.A consumer group who surveyed a large number of air travelers found that only 145 out of 165 people who lost luggage on that airline were reunited with the missing items by the next day.Does this cast doubt on the airline's claim? Use a calculator to find z-scores and P-values.
Q3) Census data for a certain city shows that 22% of residents are European.Suppose 94 people are called for jury duty,and only 15 of them are European.Does this call into question the fairness of the jury selection system? Use a calculator to find z-scores and P-values.
Q4) The seller of a loaded die claims that it will favor the outcome 6.We don't believe that claim,and roll the die 350 times to test an appropriate hypothesis.Our P-value turns out to be 0.01.Provide an appropriate conclusion.
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21
Chapter 20: More About Tests
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Q1) In April of 2011,the unemployment rate in Canada was reported to be 7.6%.Suppose that Statistics Canada claims that the current unemployment rate is lower than that of April 2011.Suppose you wish to conduct a test to determine if the current unemployment rate is lower than that of April 2011.Identify the Type II error in this context.
A)You conclude that the unemployment rate has increased.
B)You conclude that there in no change in unemployment,but in fact the unemployment rate is decreasing.
C)You conclude that unemployment is declining since the unemployment rate can only decrease.
D)You conclude that unemployment is on the decline,but in fact there is no change in unemployment.
E)A Type II error is not possible in this situation.
Q2) A manager of a large company believes that 95% of her employees use their 40 hours of weekly work time productively.A random survey given to some of the employees found that only 92.7% of her employees used their time productively.A statistician rejected the 95% hypothesis with a P-value of P = 0.021.
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Page 22
Chapter 21: Comparing Two Proportions
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Q1) A university found it retained 25 students out of 352 in 2009 and 36 students out of 334 in 2010.
A)P-value = 0.0455;If there is no difference in the proportions,there is about a 4.55% chance of seeing the observed difference or larger by natural sampling variation.
B)P-value = 0.9545;If there is no difference in the proportions,there is about a 95.45% chance of seeing the observed difference or larger by natural sampling variation.
C)P-value = 0.0455;There is about a 4.55% chance that the two proportions are equal.
D)P-value = 0.091;There is about a 9.1% chance that the two proportions are equal.
E)P-value = 0.091;If there is no difference in the proportions,there is about a 9.1% chance of seeing the observed difference or larger by natural sampling variation.
Q2) Suppose that you perform a two-proportion z-test and reject the null hypothesis that there is no difference in the two proportions.If that conclusion is actually wrong,which type of error did you commit?
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23
Chapter 22: Inferences About Means
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Q1) P-value for t 1.76 with 24 degrees of freedom
A)0.9772
B)0.0228
C)0.9544
D)0.9088
E)0.0456
Q2) In 1990,the average duration of long-distance telephone calls originating in one town was 7.2 minutes.A long-distance telephone company wants to perform a hypothesis test to determine whether the average duration of long-distance phone calls has changed from the 1990 mean of 7.2 minutes.
A)Lower-tailed
B)Two-sided
C)Upper-tailed
Q3) P-value for t 2.13 for a sample of size 31
A)0.0520
B)0.0207
C)0.9793
D)0.0087
E)0.0347
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Page 24
Chapter 23: Comparing Means
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Q1) You wish to construct a 90% confidence interval to compare the mean measurement for two groups.A small pilot study yields sample standard deviations of 10 and 12 for Group 1 and Group 2,respectively.If we wish to obtain a margin of error of at most 2,what sample size should we take from each group? Assume equal sample sizes.
A)165
B)168
C)169
D)166
E)167
Q2) You wish to construct a 90% confidence interval to compare the mean measurement for two groups.A small pilot study yields sample standard deviations of 10 and 15 for Group 1 and Group 2,respectively.If we wish to obtain a margin of error of at most 3,what sample size should we take from each group? Assume equal sample sizes.
A)99
B)96
C)97
D)100
E)98
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25
Chapter 24: Paired Samples and Blocks
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Q1) A manufacturer has designed athletic footwear which it hopes will improve the performance of athletes running the 100-metre sprint.It wishes to perform a hypothesis test to compare the times of athletes at the 100 metres with these shoes and with their usual shoes.
A)Two-sample t-test,since the experiment has two samples.
B)Not enough information is given.
C)Either two-sample or paired t-test would be equally accurate.
D)Pooled t-test,since the standard deviations of the two populations are likely to be the same.
E)Paired t-test,since a natural pairing exists,and would detect differences between the population means better.
Q2) Ten different families are tested for the number of litres of water they use each week before and after viewing a conservation video.We want to see if there is strong evidence that the conservation video changes people's water consumption rate.A t-test of the null hypothesis of no difference has a t-statistic of -2.894 with a P-value of 0.0178.Interpret this result by explaining the meaning of the P-value.
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Chapter 25: Comparing Counts
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Q1) A company says that each bag of their candy pieces contains 15% chocolate,27% butterscotch,10% caramel,7% peanut butter,and the rest toffee.You can buy a bag and separate the various kinds of candies.Upon weighing them,you find there are 30 grams of chocolate,48 grams of butterscotch,57 grams of caramel,63 grams of peanut butter and 90 grams of toffee.You wonder whether your bag is significantly different from what the company advertises.
A)Yes
B)No,because the expected values are unclear.
C)No,because it is not possible to find the residuals.
D)No,because the data are quantitative.
E)No,because the observed counts are too close to the expected counts.
Q2) A researcher records for each of 500 randomly selected towns,the number of churches in the town and the number of homicides in the town in the past ten years.The towns range in size from a population of 1000 to a population of 1,000,000.He then performs a chi-square test of independence for these two variables.Would you expect that he would find association between the two variables? If so,should he conclude that a causal relationship exists? Explain your thinking.
Q3) Describe a goodness-of-fit test.What assumptions are made when using a goodness-of-fit test?
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Page 27
Chapter 26: Inferences for Regression
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Q1) In the context of regression analysis,the sum of the residuals is always zero.
A)True
B)False
Q2) When performing regression analysis,different samples will all yield the same sample regression line.
A)True
B)False
Q3) In the context of regression analysis,explain what is meant by the term "residual".
Q4) If the assumptions for regression inferences are met,what would you expect to see when constructing a residual plot and a normal probability plot for the residuals?
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Chapter 27: Analysis of Variance
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Q1) A horticulturist wants to test the effectiveness of four types of fertilizer on the growth rate of Bermuda grass.Six sections of grass are randomly assigned to each of the four fertilizer types,and the rate of growth for each section is measured.How many degrees of freedom does the treatment sum of squares have? How about the error sum of squares?
A)df-treatment = 3;df-error = 21
B)df-treatment = 3;df-error = 20
C)df-treatment = 4;df-error = 20
D)df-treatment = 5;df-error = 21
E)df-treatment = 5;df-error = 20
Q2) An independent research firm conducts a study to compare the taste of four new sports drinks.Five people are randomly assigned to each of the four drinks.Each person tastes the drink and judges it on a scale from one to five.How many degrees of freedom does the treatment sum of squares have? How about the error sum of squares?
A)df-treatment = 3;df-error = 19
B)df-treatment = 3;df-error = 17
C)df-treatment = 4;df-error = 17
D)df-treatment = 3;df-error = 16
E)df-treatment = 4;df-error = 16
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Chapter 28: Multifactor Analysis of Variance
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Q1) A student runs an experiment to study the effect of gas brand and car type on mileage.She uses 3 different brands of gas on 4 different types of cars.
Q2) A student runs an experiment to study the effect of gas brand and car type on mileage.She uses 3 different brands of gas on 8 different types of cars.
A)Gas brand SS: 3 df;Car type SS: 7 df;SSE: 14 df
B)Gas Brand SS: 3 df;Car type SS: 4 df;SSE: 12 df
C)Gas brand SS: 1 df;Car type SS: 7 df;SSE 14 df
D)Gas Brand SS: 2 df;Car type SS: 3 df;SSE: 8 df
E)Gas brand SS: 2 df;Car type SS: 7 df;SSE 14 df
Q3) A student runs an experiment on test scores for males and females at different times of day.She uses 4 different times of day.
Q4) A student runs an experiment to test how race car drivers and different tracks affect time.He uses 3 different drivers on 4 different tracks.He randomizes the trials,performing 4 runs under each treatment condition,carefully recording how many laps each driver completes on each different track.
Q5) A student runs an experiment to study the effect that a teacher has based on the size of their class.She uses 3 different teachers on 5 different class sizes.
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Chapter 29: Multiple Regression
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Q1) Interpret the R-squared value of 84.5%.
A)84.5% of all calorie contents can be accurately predicted by this model.
B)The average correlation between protein,fat,fibre,carbohydrates,and sugar is 0.845.
C)The average correlation between protein,fat,fibre,carbohydrates,and sugar is 0.919.
D)84.5% of all samples would result in a useful model.
E)84.5% of the observed variation in calorie content can be explained by this model.
Q2) What does the coefficient of neck mean?
A)For every measurement unit of the neck,all other measurements will increase by 28.594 units.
B)For every measurement unit of the neck,the average head width will decrease by -11.24 units.
C)For every measurement unit of the neck,the average weight will increase by 28.594 units.
D)For every measurement unit of the neck,the average weight will increase by one unit.
E)For every measurement unit of the neck,the average age will decrease by -1.3838 units.
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Chapter 30: Multiple Regression Wisdom
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Q1) How would you interpret the coefficient of sex in this model?
Q2) An actuary wishes to predict the life expectancy of a person based on several variables.One categorical variable of interest is their relationship statussingle,married,divorced,widowed,or common-law.If the actuary wished to include "relationship status" in a regression model,how many indicator variables would he/she need to use in the model?
A)4
B)2
C)3
D)5
E)1
Q3) What is the purpose of an indicator variable in a regression model?
A)An indicator variable allows us to increase our R-squared value.
B)An indicator variable allows us to include quantitative variables in our model.
C)An indicator variable allows us to fix violations of our constant variance assumption.
D)An indicator variable allows us to fix violations of our normality assumption.
E)An indicator variable allows us to include categorical variables in our model.
Q4) How would you interpret the coefficient of Science in the multiple regression?
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Chapter 31: Rank-Based Nonparametric Tests
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Q1) Fifty (50)students took a math test before and after tutoring.Of the 50 students,34 showed an improvement and 2 showed no change.After ranking the remaining 48 differences (before - after),it is found that T- = 873 and T+ = 303 Do the data suggest that the tutoring improves math scores? Conduct a Wilcoxon signed rank test using a 0.01 level of significance.
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Chapter 32: The Bootstrap
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Q1) When selecting a bootstrap sample,which of the following statements is true?
A)We select another sample from the population of interest.This resample must have the same number of observations as the original sample.
B)We select a sample with replacement from the original sample observations.This resample must have the same number of observations as the original sample.
C)We select another sample from the population of interest.This resample must have more observations than the original sample in order to increase the accuracy of our estimates.
D)We select a sample without replacement from the original sample observations.This resample must have the same number of observations as the original sample.
E)We select a sample with replacement from the original sample observations.This resample must have fewer observations than the original sample.
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