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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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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.
Check whether each of the conditions is met for calculating a confidence interval for the population proportion
Salty chips A quality control inspector takes a random sample of bags of potato chips from the thousands of bags filled in an hour. Of the bags selected, had too much salt.
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.
Got shoes? How many pairs of shoes, on average, do female teens have? To find out, an AP Statistics class selected an SRS of female students from their school.
Then they recorded the number of pairs of shoes that each student reported having. Here
are the data:
Willows in Yellowstone Writers in some fields summarize data by giving x 虅 and its
standard error rather than .Biologists studying willow plants in Yellowstone National Park reported their results in a table with columns labeled The table entry for the heights of willow plants (in centimeters) in one region of the park was . The researchers measured a total of plants.
a. Find the sample standard deviation for these measurements.
b. A hasty reader believes that the interval given in the table is a confidence interval for the mean height of willow plants in this region of the park. Find the actual confidence level for the given interval.
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