In: Statistics and Probability
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 <_____