e,initial le original claim 2. The 40 hour workweek did not become an American s

Question

e,initial le original claim 2. The 40 hour workweek did not become an American standard until 1940 Today, many white collar employees work more than 40 hours per week because management demands longer hours or offers monetarynV incentives. A random sample of white collar employees was obtained and the number of hours each worked during the last week are given below 44.7 42.0 45.8 43.0 42.8 50.9 47.0 41.9 49.3 45.6 45.7 39.0 39.4 44.4 Test the claim that the mean number of hours worked per week by white collar employees is now greater than 40. Use a significance level of 0.01. Show all the steps of your hypothesis test including a) the claim being tested, b) the null and alternative hypothesis, c) the test statistic, d) the p value, e) initial conclusion, and f a final conclusion about the original claim.

Explanation / Answer

a) The claim, H1 : mu > 40

b) Below are the null and alternate hypothesis

H0: mu = 40

H1: mu > 40

c)

Hypohesised Mean, hm = 40

Mean, m = 44.2867

std. dev. = 3.2870

n = 15

Standard Error, SE = 0.8487

t = (hm - m)/SE = 4.2867

Test statistics, t = 4.2867

d)

p-value = 0.0000091

e)

Initial conclusion: reject null hypothesis

f)

Final conclusion: There is significant evidence to conclude that the mean number of hours worked per week by white collar employees is now greater than 40.

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