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Chapter 8: Q 12. (page 507)
More weight loss Refer to Exercise . Interpret the confidence level.
of all samples are havingconfidence interval that have true population parameter.
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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?
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.
Judy is interested in the reading level of a medical journal. She records the length of a random sample ofwords. The histogram displays the distribution of word length for her sample. Determine if the Normal/Large Sample condition is met in this context.
Pepperoni pizza Melissa and Madeline love pepperoni pizza, but sometimes they are disappointed with the small number of pepperonis on their pizza. To
investigate, they went to their favorite pizza restaurant at random times during the week and ordered a large pepperoni pizza. Here are the number of pepperonis on each pizza:
Food fight A survey of randomly selected U.S. adults found that of respondents agreed with the following statement: “Organic produce is better for health than conventionally grown produce.”
a. Construct and interpret a confidence interval for the proportion of all U.S. adults who think that organic produce is better for health than conventionally grown produce.
b. Does the interval from part (a) provide convincing evidence that a majority of all U.S. adults think that organic produce is better for health? Explain your answer.
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