The charge nurse at University Hospital has the responsibility of staffing the e

Question

The charge nurse at University Hospital has the responsibility of staffing the emergency room. President policy is to assign the same number of nurses to all three shifts. The charge nurse believes that there is a difference in the number of cases handled per shift. A sample of 5 days is selected at random and the number of cases handled each day determined. At the 0.05 significance level, can the charge nurse conclude that there is a difference in the mean number of cases handled?

Day Afternoon Evening

44 33 39

53 42 24

56 15 30

49 30 27

38 45 30

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Total 240 165 150

Mean 48 33 30

Explanation / Answer

Ho: there is no difference in the mean number of cases handled(i.e. null hypothesis)

Ha: there is a difference in the mean number of cases handled (i.e. alternative hypothesis)

The test statistic is

F=6.27

The p-value of F test is 0.0137

Since the p-value is less than 0.05, we reject Ho.

So we can conclude that there is a difference in the mean number of cases handled

ANOVA table Source SS    df MS F    p-value Treatment 930.00 2 465.000 6.27 .0137 Error 890.00 12 74.167 Total 1,820.00 14

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