Question

# A new operator was recently assigned to a crew of workers who perform a certain job....

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) 10 11 12 9 13 10 8 11 9 9 13 13 11 12 13

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

< 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.

The statistical software output for this problem is:

Hence,

a) Test statistic = 4.96

b) 0.025 < P < 0.50

Reject the null hypothesis, there is significant evidence of a difference in units of work between the workers.

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