1. At many golf clubs, a teaching professional provides a free 10-minute lesson to new customers. A golf magazine reports that golf facilities that provide these free lessons gain, on average, $2,000...

Extracted text: 1. At many golf clubs, a teaching professional provides a free 10-minute lesson to new customers. A golf magazine reports that golf facilities that provide these free lessons gain, on average, $2,000 in green fees, lessons, or equipment expenditures. A teaching professional believes that the average gain is DIFFER- ENT FROM $2,000. (a) In order to support the claim made by the teaching professional, what null and alternative hypotheses should you test (for each, fill in the blanks with the proper population parameter, proper symbol con- cerning equality or inequality, and proper #, respectively)? Ho: Ha: (b) Suppose you select a = 0.05. What is the probability that the null hypothesis is rejected when the average gain is $2,000? (c) For a = 0.05, specify the rejection region of a large-sample test (make a sketch of the rejection region as well). Use the Rejection Region method for Parts (d), (e), and (f) below. (d) Suppose a large sample was taken which yielded a test statistic 24 = 2.21. What do you conclude regarding the hypothesis test? (e) Repeat part (d), assuming 2 = 1.82. (f) Repeat part (d), assuming z4 = -1.82.