From time to time, the UTM Human Resource (UTMHR) department observes various employees for their work productivity. Recently UTMHR wanted to check whether the four employees at the Department XYZ counters, serve on average the same number of customers per hour. The HR manager observed each of the four employees for a certain number of hours. The following Table 5 gives the number of customers served by the four employees during each of the observed hours.
From time to time, the UTM Human Resource (UTMHR) department observes various employees for
their work productivity. Recently UTMHR wanted to check whether the four employees at the
Department XYZ counters, serve on average the same number of customers per hour. The HR manager
observed each of the four employees for a certain number of hours. The following Table 5 gives the
number of customers served by the four employees during each of the observed hours.
| employee a | employee b | employee c | employee d |
| 19 | 14 | 11 | 24 |
| 21 | 16 | 14 | 19 |
| 26 | 14 | 21 | 21 |
| 24 | 13 | 13 | 26 |
| 18 | 17 | 16 | 20 |
| employee a | employee b | employee c | employee d | |
| 21.6 | 14.8 | 15.0 | 22.0 | |
| s | 3.4 | ? | 3.8 | ? |
c) Find variance between sample,
d) Find variance within sample,
e) Calculate the test statistic, F.
f) Determine the numerator and denominator.
g) Find the critical value of F at the 5% significance level, and test the claim that the mean number
of customers served per hour by each of these four employees is the same. State your
conclusion.
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