MATH 533 Week 5 Quiz (New)
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1. A group of professors investigated first-year college students’ knowledge of
astronomy. One concept of interest was the Big Bang Theory of the creation of the
universe. In a sample 0f 141 freshman students, 35 believed that the Big Bang
Theory accurately described the creation of plantery systems. Baesd on this
information, is it correct at the α = 0.01 level of significance to state that more than
20% of all freshman college students believe the Big Bang theory describes the
creation of planetary systems?
2. A study was conducted to evaluate the effectiveness of a new mosquito
repellent designed by the U.S. Army to be applied as camouflage face paint. The
repellent was applied to the forearms of 5 volunteers who then were exposed to 15
active mosquitos for a 10-hour period. The percentage of the forearm surface area
protected from bites (called percent repellency) was calculated for each of the five
volunteers. For one color of paint (loam), the following summary statistics were
obtained: x =83%, s = 14%. Complete parts a and b.
3. A study of n = 110,000 first-time candidates for an exam found that the
number of semester hours of college credit taken by the sampled candidate is
summarized by x = 146.78 and s = 20.44. A professor claims that the true mean
number of semester hours of college credit taken is 146.
4. Suppose 36 0f 104 randomly selected shoppers believe that “Made in the USA”
means that 100% of labor and materials are from the United States. Let p represent
the true proportion of consumers who believe “Made in the USA” means 100% of
labor and materials are from the United States. Complete parts a through e.
5. The final scores of games of a certain sport were compared against the final
point spreads establiished by oddmakers. The difference between the game outcome
and point spread (called a point-spread error) was calculated for 240 games. The
sample mean and sample standard deviation of the point-spread errors are x = 1.7
and s = 14.6. Use this information to test the hypothesis that the true mean point-

spread error for all games is lareger than 0. Conduct the test at Îą = 0.05 and
interpret the result.