The local swim team is considering offering a new semi-private class aimed at entry-level swimmers, but needs a minimum number of swimmers to sign up in order to be cost effective. Last year’s data showed that during 8 swim sessions the average number of entry-level swimmers attending was 15. Suppose the instructor wants to conduct a hypothesis test and the alternative hypothesis is "the population mean is greater than 15" If the sample size is 5, σ is known, and alpha = .01, the critical value of z isA) 2.575B) -2.575C) 2.33D) -2.33E) 2.45

Given that the local swim team is considering offering a new semi-private class aimed at entry-level swimmers, but needs a minimum number of swimmers to sign up in order to be cost effective.

[tex]H_0: \mu = 15\\H_a: \mu >15[/tex]

(Right tailed hypothesis test for population mean at 1% significance level)

Sample size = 8

Since this is one tailed, the critical value of Z for 100-1 = 99% would be

c) 2.33

It is positive because right tailed test, and it is 2.33 because cumulative prob of 2.33 under Z is 99%