2)There are three hospitals in the Tulsa, Oklahoma, area. The following data sho

Question

2)There are three hospitals in the Tulsa, Oklahoma, area. The following data show the number of outpatient surgeries performed on Monday, Tuesday, Wednesday, Thursday, and Friday at each hospital last week. At the 0.01 significance level, can we conclude there is a difference in the mean number of surgeries performed by hospital or by day of the week?

State the decision rule for 0.01 significance level. (Round your answers to 2 decimal places.)

For Treatment: Reject H0 if F> ___

For blocks: Reject H0 if F> ___

Complete the ANOVA table. (Round SS, MS and F to 2 decimal places.)

2)There are three hospitals in the Tulsa, Oklahoma, area. The following data show the number of outpatient surgeries performed on Monday, Tuesday, Wednesday, Thursday, and Friday at each hospital last week. At the 0.01 significance level, can we conclude there is a difference in the mean number of surgeries performed by hospital or by day of the week?

State the decision rule for 0.01 significance level. (Round your answers to 2 decimal places.)

For Treatment: Reject H0 if F> ___

For blocks: Reject H0 if F> ___

Complete the ANOVA table. (Round SS, MS and F to 2 decimal places.)

Day Monday Tuesday Wednesday Thursday Friday Number of Surgeries Performed Mercy St. Luke's St. Vincent 45 31 28 26 35 19 21 24 35 23 31 37 25 26 23

Explanation / Answer

By using excel we can solve this question easily.

First, enter all data in excel.

Click on Data -------> Data Analysis--------> Anova: Two-Factor Without Replication-----> Input Data -------> Select all data -------> Output Range : Select any empty cell --------> ok

We get

Level of significance = 0.01

For Treatment: Reject H0 if F > 3.84

For blocks: Reject H0 if F> 4.46

ANOVA Source of Variation SS df MS F P-value F crit Treatment 188.2667 4 47.06667 0.88 0.518695 3.838 Block 75.6 2 37.8 0.70 0.522979 4.459 Error 429.7333 8 53.71667 Total 693.6 14

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