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) 11 11 11 11 13 12 10 12 12 10 10 11 11 13 11 (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.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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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)	11	11	11
	11	13	12
	10	12	12
	10	10	11
	11	13	11

(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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