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Chapter 10: Q.25 (page 670)
AP3.25. Suppose the null and alternative hypotheses for a significance test are defined as Which of the following specific values for Ha will give the highest power?
(a)
(b)
(c)(d)
(e)would give the highest power.
Hence ,the correct option is (a)
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46. Happy customers As the Hispanic population in the United States has grown, businesses have tried to understand what Hispanics like. One study inter-viewed a random sample of customers leaving a bank. Customers were classified as Hispanic if they preferred to be interviewed in Spanish or as Anglo if they preferred English. Each customer rated the importance
of several aspects of bank service on a 10-point scale. Here are summary results for the importance of 鈥渞eliability鈥� (the accuracy of account records and so on):
(a) The distribution of reliability ratings in each group is not Normal. A graph of the data reveals no outliers. The use of two-sample t procedures is
justified. Why?
(b) Construct and interpret a confidence interval for the difference between the mean ratings of the importance of reliability for Anglo and
Hispanic bank customers.
(c) Interpret the confidence level in the context of this study.
Explain why the conditions for using two-sample z procedures to perform inference about are not met in the settings
Broken crackers We don鈥檛 like to 铿乶d broken crackers when we open the package. How can makers reduce breaking? One idea is to microwave the crackers for seconds right after baking them. Breaks start as hairline cracks called 鈥渃hecking.鈥� Assign newly baked crackers to the microwave and another to a control group that is not microwaved. After one day, none of the microwave group and of the control group show checking.
A random sample of 200 New York State voters included 88 Republicans, while a random sample of 300 California voters produced 141 Republicans. Which of the following represents the confidence interval that should be used to estimate the true difference in the proportions of Republicans in New York State and California?
(a)
(b)
(c)
(d)
(e)
To study the long-term effects of preschool programs for poor children, researchers designed an experiment. They recruited children who had never attended preschool from low-income families in Michigan. Researchers randomly assigned of the children to attend preschool (paid for by the study budget) and the other 61 to serve as a control group who would not go to preschool. One response variable of interest was the need for social services as adults. In the past years, children in the preschool group and in the control group have needed social services.
The Minitab output below gives a % con铿乨ence interval for . Interpret this interval in context. Then explain what additional information the con铿乨ence interval provides.
Paired or unpaired? In each of the following settings, decide whether you should use paired t procedures or two-sample t procedures to perform inference. Explain your choice.
(a) To compare the average weight gain of pigs fed two different rations, nine pairs of pigs were used. The pigs in each pair were littermates. A coin toss was used to decide which page in each pair got Ration and which got Ration B.
(b) A random sample of college professors is taken.
We wish to compare the average salaries of male and female teachers.
(c) To test the effects of a new fertilizer, plots are treated with the new fertilizer, and plots are treated with another fertilizer. A computer's random number generator is used to determine which plots get which fertilizer.
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