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.
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