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Chapter 8: Q 11. (page 507)
More prayer in school Refer to Exercise . Interpret the confidence level.
All samples to have confidence interval have population parameter.
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In preparing to construct a one-sample t interval for a population mean, suppose we are not sure if the population distribution is Normal. In which of the following circumstances would we not be safe constructing the interval based on an SRS of sizefrom the population?
a. A stemplot of the data is roughly bell-shaped.
b. A histogram of the data shows slight skewness.
c. A boxplot shows that the values above the median are much more variable than the values below the median.
d. The sample standard deviation is large.
e. The sample standard deviation is small.
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. We want to estimate the average age at which U.S. presidents have died. So we obtain a list of all U.S. presidents who have died and their ages at death.
b. Do teens text more than they call? To find out, an AP Statistics class at a large high school collected data on the number of text messages and calls sent or received by each of randomly selected students. The boxplot displays the difference (Texts 鈭� Calls) for each student.
More cheating Refer to Exercise 36. Calculate and interpret the standard error of for these data.
Losing weight Refer to Exercise 6.
a. Explain what would happen to the length of the interval if the confidence level was decreased to .
b. How would a confidence interval based on triple the sample size compare to the original interval?
c. As Gallup indicates, the percentage point margin of error for this poll includes only sampling variability (what they call 鈥渟ampling error鈥�). What other potential sources of error (Gallup calls these 鈥渘on sampling errors鈥�) could affect the accuracy of the 95% confidence interval?
Student body totals Use your interval from Exercise 40 to construct and interpret a confidence interval for the total number of students at the school that the student body president can identify by name. Then use your interval to evaluate the president鈥檚 claim.
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