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Chapter 8: Q 47. (page 523)
Prom totals Use your interval from Exercise 39 to construct and interpret a
confidence interval for the total number of seniors planning to go to the prom.
There is confidence that betweenandseniors in Tanya's school go to prom.
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Check them all Determine if the conditions are met for constructing a confidence interval for the population mean in each of the following settings.
a. How much time do students at your school spend on the Internet? You collect data from the members of your AP Statistics class and calculate the mean amount of time that these students spent on the Internet yesterday.
b. Is the real-estate market heating up? To estimate the mean sales price, a realtor in a large city randomly selected home sales from the previous months in her city. These sales prices are displayed in the boxplot.
A newspaper reporter asked an SRS of residents in a large city for their opinion about the mayor鈥檚 job performance. Using the results from the sample, the confidence interval for the proportion of all residents in the city who approve of the mayor鈥檚 job performance is . What is the value of ?
a.
b.
c.
d.
e.
California鈥檚 traffic People love living in California for many reasons, but traffic isn鈥檛 one of them. Based on a random sample of employed California adults, a confidence interval for the average travel time to work for all employed California adults is minutes to minutes.
a. Interpret the confidence level.
b. Name two things you could do to reduce the margin of error. What drawbacks do these actions have?
c. Describe how non response might lead to bias in this survey. Does the stated margin of error account for this possible bias?
Prayer in school Refer to Exercise 5.
a. Explain what would happen to the length of the interval if the confidence level were increased to .
b. How would a confidence interval based on double the sample size compare to the original interval?
c. The news article goes on to say: 鈥淭he theoretical errors do not take into account
additional errors resulting from the various practical difficulties in taking any survey of public opinion.鈥� List some of the 鈥減ractical difficulties鈥� that may cause errors which are not included in the percentage point margin of error.
Do you go to church? The Gallup Poll plans to ask a random sample of adults
whether they attended a religious service in the last 7 days. How large a sample would be required to obtain a margin of error of at most 0.01 in a 99% confidence interval for the population proportion who would say that they attended a religious service?
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