SOLUTION: A sample of 40 sales receipts from a grocery store has x = $137 and s = $30.2. Assist the owner of the grocery store to these values to test, at the 5% level of significance, whe

Algebra ->  Probability-and-statistics -> SOLUTION: A sample of 40 sales receipts from a grocery store has x = $137 and s = $30.2. Assist the owner of the grocery store to these values to test, at the 5% level of significance, whe      Log On


   

Question 914957: A sample of 40 sales receipts from a grocery store has x = $137 and s = $30.2. Assist the
owner of the grocery store to these values to test, at the 5% level of significance, whether
or not the mean sales at the grocery store is different from $150.
(a) State the null and alternative hypotheses for the test.
(b) Calculate the test statistics.
(c) Determine the rejection region(s) for the test.
(d) State the conclusion for the test giving reasons for your answer.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Ho: u = 150
Ha: u < 150 (claim)
sample mean (n = 40) = 137, s = 30.20
z(137) = (137-150)/30.20/sqrt(40) = -2.7225
normalcdf(-100,-2.7225) = .003
5% level of significance...
.003 < .05, reject Ho.
The test results support the claim.