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Chapter 8: Q 82. (page 544)
You have an SRS of observations from a large population. The distribution of sample values is roughly symmetric with no outliers. What critical value would you use to obtain a confidence interval for the mean of the population?
a.
b.
c.
d.
e.
Option (e) is correct.
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The Large Counts condition When constructing a confidence interval for a population proportion, we check that both are at least
a. Why is it necessary to check this condition?
b. What happens to the capture rate if this condition is violated?
September 11 A recent study asked U.S. adults to name historic events that occurred in their lifetime that have had the greatest impact on the country. The most frequently chosen answer was the September , terrorist attacks, which was included by of the randomly selected U.S. adults. Construct and interpret a confidence interval for the proportion of all U.S. adults who would include the attacks on their list of historic events.
Most people can roll their tongues, but many can鈥檛. The ability to roll the tongue is
genetically determined. Suppose we are interested in determining what proportion of students can roll their tongues. We test a simple random sample of students and find that can roll their tongues. The margin of error for a confidence interval for the true proportion of tongue rollers among students is closest to which of the following?
a.
b.
c.
d.
e.
Shoes The AP Statistics class in Exercise 1 also asked an SRS of boys at their school how many pairs of shoes they have. A confidence interval for the true difference in the mean number of pairs of shoes for girls and
boys is .
a. Interpret the confidence interval.
b. Does the confidence interval give convincing evidence of a difference in the true mean number of pairs of shoes for boys and girls at the school? Explain your answer.
Gambling and the NCAA Gambling is an issue of great concern to those involved in college athletics. Because of this concern, the National Collegiate Athletic Association (NCAA) surveyed randomly selected student athletes concerning their gambling-related behaviors. Of the Division male athletes who responded to the survey, reported participation in some gambling behavior. This includes playing cards, betting on games of skill, buying lottery tickets, betting on sports, and similar activities. A report of this study cited a margin of error.
a. The confidence level was not stated in the report. Use what you have learned to
estimate the confidence level, assuming that the NCAA took an SRS.
b. The study was designed to protect the anonymity of the student athletes who responded. As a result, it was not possible to calculate the number of students who were asked to respond but did not. How does this fact affect the way that you interpret the results?
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