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In: Statistics and Probability

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

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


(ii) Find the p-value. (Give your answer bounds exactly.)
_____< p <_____

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