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 <

Workers New A B Units of work (replicates) 11 10 12 10 11 11 11 12 11 10 12 9 8 12 10

Explanation / Answer

Solution:

(a) One way ANOVA test is appropriate

F-value=3.88 which is not significant

(b) p-value=0.17

SUMMARY Groups Count Sum Average Variance Column 1 5 50 10 1.5 Column 2 5 57 11.4 0.8 Column 3 5 53 10.6 1.3 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 4.933333 2 2.466667 2.055556 0.17074 3.885294 Within Groups 14.4 12 1.2 Total 19.33333 14

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