Question

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 comma 100 in green​ fees, lessons, or equipment expenditures. A teaching professional believes that the average gain exceeds ​$2 comma 100. Complete parts a through c below. a. In order to support the claim made by the teaching​ professional, what null and alternative hypotheses should you​ test? Upper H 0​: mu equals ​$2 comma 100 Upper H Subscript a​: mu greater than ​$2 comma 100 b. Suppose you select alphaequals0.01. Interpret this value in the words of the problem. The probablility that the null hypothesis is ▼ when the average gain ▼ is is not is less than exceeds ​$2 comma 100 is 0.01. c. For alphaequals0.01​, specify the rejection region of a​ large-sample test. Choose the correct answer below. A. z less than minus 2.33 B. z less than minus 2.575 or z greater than 2.575 C. zless thanminus1.28 D. zless thanminus1.96 or zgreater than1.96 E. minus2.575less thanzless than2.575 F. z greater than 2.33 G. minus1.96less thanzless than1.96 H. zgreater than1.28

Answer 1

Explanation:

a) The objective of the study is test the claim that the average gain in the green fees , lessons or equipment expenditure for participating golf facilities is less than $2,100 under the claim the null and alternative hypothesis are,

H₀ : μ = $2,100

H₀ : μ < $2,100

B) Suppose you selects α = 0.01

The probability that the null hypothesis is rejected when the average gain is $2,100 is 0.01

C) For α = 0.01

specify the rejection region of a large sample test

At the given level of significance 0.01 and the test is left-tailed then rejection level of a large-sample = < - 1.28