Question

A new operator was recently assigned to a crew of workers who perform a certain job. From the records of the number of units of work completed by each worker each day last month, a sample of size five was randomly selected for each of the two experienced workers and the new worker. At the α = .05 level of significance, does the evidence provide sufficient reason to reject the claim that there is no difference in the amount of work done by the three workers?

	Workers
	New	A	B
Units of work (replicates)	9	13	11
	8	12	11
	11	11	11
	11	11	11
	11	10	9

(a) Find the test statistic. (Give your answer correct to two decimal places.)


(ii) Find the p-value. (Give your answer bounds exactly.)
< p <
(b) State the appropriate conclusion.

Reject the null hypothesis, there is not significant evidence of a difference in units of work between the workers. Reject the null hypothesis, there is significant evidence of a difference in units of work between the workers.     Fail to reject the null hypothesis, there is significant evidence of a difference in units of work between the workers. Fail to reject the null hypothesis, there is not significant evidence of a difference in units of work between the workers.

Answer 1

The statistical software output for this problem is:

Hence,

a) Test statistic = 1.80

ii) 0.20 < P < 0.30

b) Conclusion: Option D is corrrect.