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Chapter 8: Q 37. (page 522)
More online sales Refer to Exercise 35. Calculate and interpret the standard error of for these data.
The value of standard error is.
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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?
Bone loss by nursing mothers Breast-feeding mothers secrete calcium into
their milk. Some of the calcium may come from their bones, so mothers may lose bone mineral. Researchers measured the percent change in bone mineral content (BMC) of the spines of randomly selected mothers during three months of breast-feeding. The mean change in BMC was and the standard deviation was
a. Construct and interpret a confidence interval to estimate the mean percent change in BMC in the population of breast-feeding mothers.
b. Based on your interval from part (a), do these data give convincing evidence thatnursing mothers lose bone mineral, on average? Explain your answer.
The condition When constructing a confidence interval for a population proportion, we check that the sample size is less than of the population size.
a. Why is it necessary to check this condition?
b. What happens to the capture rate if this condition is violated?
Explaining confidence A confidence interval for the mean body mass index (BMI) of young American women is . Discuss whether each of the following explanations is correct, based on that information.
a. We are confident that of all young women have BMI between and .
b. We are confident that future samples of young women will have mean BMI
between and.
c. Any value from is believable as the true mean BMI of young American women.
d. If we take many samples, the population mean BMI will be between and in about of those samples.
e. The mean BMI of young American women cannot be .
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