In a recent study, a health insurance company investigated the number of days pa

Question

In a recent study, a health insurance company investigated the number of days patients spent at hospitals by region of the US. Researchers randomly select patients from 4 regions and recorded the number of days each patient stayed in the hospital. The table below shows the results. At a significance level of 0.01 can you conclude that the mean number of days patients spent at the hospital is the same for each region?

See table below and show all work. Thanks!

8. In a recent study, a health insurance company investigated the number of days patients spent at hospitals by region of the U.S. Researchers randomly select patients from 4 and recorded the number of days each patient stayed in the hospital. The table below shows the results. At a 0.01 can you conclude that the mean number of days patients spent at the hospital is the same for each region? Midwest South West Northeast 6 3 3 6 5 4 2 3 3 4 6 4 4 5

Explanation / Answer

H0: There is no difference between means of foue groups

H1: There is a difference between means of four groups

alpha:1%

Test statistic:

From excel

F cal=0.5571

P value=0.6476 >0.01, we do not reject the H0. Hence claim is not significant

Anova: Single Factor SUMMARY Groups Count Sum Average Variance North east 9 49 5.444444 5.527778 midwest 9 40 4.444444 2.777778 south 7 34 4.857143 2.47619 west 8 36 4.5 2.285714 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 5.607504 3 1.869168 0.557091 0.647572 2.93403 Within Groups 97.30159 29 3.355227 Total 102.9091 32

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