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

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 ? = .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?

(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.

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

Explanation / Answer

(a) The test statisitc is F=1.03

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(ii) The p-value= 0.3875

0.25< p <0.5

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(c) Since the p-value is larger than 0.05, we do not reject the null hypothesis.

So we can conclude that there is no difference in the amount of work done by the three workers

Mean n Std. Dev 10.8 5 0.45 New 11.8 5 1.30 A 11.4 5 1.34 B 11.3 15 1.11 Total

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