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 ? = .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) 10 12 9 10 10 11 9 12 10 9 11 13 10 12 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.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 ? = .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)	10	12	9
	10	10	11
	9	12	10
	9	11	13
	10	12	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.

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