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A survey asked orchestra members to estimate the number of hours they practice on a typical...

A survey asked orchestra members to estimate the number of hours they practice on a typical day. From the results, it was determined that 25 pianists reported practicing an average of 4.1 hours a day with a standard deviation of 0.77, while 31 percussionists reported practicing an average of 3.7 hours a day with a standard deviation of 1.03. Using ?=0.05, test the claim that pianists practice longer than percussionists.
a. Are the samples independent or dependent? Explain how you know.



b. What are the null and alternative hypotheses?




c. Would the test be one-tailed or two-tailed? Explain how you know.



d. ?-test or ?-test? Explain how you know. What would be the critical value(s)?




e. Calculate the test statistic. What decision is justified by your work?






f. Summarize your results.

Math   Statistics-And-Probability   
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