Question

Evaluate how organizations can use one-sample hypothesis testing to determine if there are performance issues in the organization. Support your response with a specific example.

Answer 1

For example: Suppose you want to check the average working hour of employees. You thought that the average duration of an employees is 7.6 hours. You want to check this claim so you collect a sample of 20 employees and note their duration of work. Assume that data are approximately distributed.

NULL HYPOTHESIS H0: HOURS

ALTERNATIVE HYPOTHESIS Ha: HOURS

alpha=0.05

t= 7.765-7.6/1.25/sqrt(20)

t= 0.165/1.25/4.47

t= 0.165/0.28

t= 0.589

degrees of freedom= n-1=20-1=19

t critical = 2.09

Since t critical is GREATER than t calculated therefore we fail to reject null hypothesis H0.

Conclusion: We don't have sufficient evidence to conclude that the mean working duration is different than 7.6 hours.