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Chapter 7: Q3 (page 350)
Critical ValueFor the survey described in Exercise 1 “Celebrities and the Law,” find the critical value that would be used for constructing a 99% confidence interval estimate of the population proportion.
The critical value that would be used for constructing a 99% confidence is 2.576.
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Critical Thinking. In Exercises 17–28, use the data and confidence level to construct a confidence interval estimate of p, then address the given question.
Touch TherapyWhen she was 9 years of age, Emily Rosa did a science fair experiment in which she tested professional touch therapists to see if they could sense her energy field. She flipped a coin to select either her right hand or her left hand, and then she asked the therapists to identify the selected hand by placing their hand just under Emily’s hand without seeing it
and without touching it. Among 280 trials, the touch therapists were correct 123 times (based on data in “A Close Look at Therapeutic Touch,”Journal of the American Medical Association,Vol. 279, No. 13).
a.Given that Emily used a coin toss to select either her right hand or her left hand, what proportion of correct responses would be expected if the touch therapists made random guesses?
b.Using Emily’s sample results, what is the best point estimate of the therapists’ success rate?
c.Using Emily’s sample results, construct a 99% confidence interval estimate of the proportion of correct responses made by touch therapists.
d.What do the results suggest about the ability of touch therapists to select the correct hand by sensing an energy field?
In Exercises 1–3, refer to the accompanying screen display that results from the Verizon airport data speeds (Mbps) from Data Set 32 “Airport Data Speeds” in Appendix B. The confidence level of 95% was used.
Degrees of Freedom
a. What is the number of degrees of freedom that should be used for finding the critical value ?
b. Find the critical value corresponding to a 95% confidence level.
c. Give a brief general description of the number of degrees of freedom.
Confidence Interval with Known . In Exercises 37 and 38, find the confidence interval using the known value of .
Birth Weights of Boys Construct the confidence interval for Exercise 10 “Birth Weights of Boys,” assuming that is known to be 6.6 hg.
Confidence Interval with Known . In Exercises 37 and 38, find the confidence interval using the known value of .
Birth Weights of Girls Construct the confidence interval for Exercise 9 “Birth Weights of Girls,” assuming that is known to be 7.1 hg.
Bootstrap Sample Given the sample data from Exercise 2, which of the following are not possible bootstrap samples?
a. 12, 19, 13, 43, 15
b. 12, 19, 15
c. 12, 12, 12, 43, 43
d. 14, 20, 12, 19, 15
e. 12, 13, 13, 12, 43, 15, 19
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