Question

5) A group of paramedics believes that the number of calls they receive is the same for each of their three shifts (morning, afternoon, and evening). To test their claim, they record the number of calls during each shift for seven days. The results of an EXCEL One-Way ANOVA test on the data is shown below. Use a 0.01 significance level to test the claim that the mean number of calls is the same for each shift. (a) State the null and alternative hypothesis. (b) Perform the test and state the specific conclusion for this problem. ANOVA Source of Variation Between Groups Within Groups SS 10.6666667 24.5714286 MS F P-value F crit 2 5.33333333 3.90697674 0.03897282 6.01290483 18 1.36507937 Total 35.2380952 20

Answer 1

a)

Null hypothesis

H0 : Number of calls which group of paramedies recieve is same for all three shifts

Alternate hypothesis

H1 : Number of calls which group of paramedies recieve is diffrent for at least one of  three shifts.

b) Here we can clearly see that p-value = 0.03897282 which is greater than level of signficance so we do not reject H0 and conclude that Number of calls which group of paramedies recieve is same for all three shifts

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