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There are three hospitals in the region. The following data show the number of s

ID: 3228336 • Letter: T

Question

There are three hospitals in the region. The following data show the number of surgeries performed on M-F at each hospital last week N a = 0.10, can we conclude there is a difference in the mean number of surgeries performed by hospital or day of the week? There is a significant difference by hospital and day of the week. There is not a significant difference by hospital, but the difference by day of week is significant. There is a significant difference by hospital, but the difference by day of week is not significant. There is neither a significant difference by hospital nor by day of the week. We cannot conclude the influence. More information is needed.

Explanation / Answer

from above as p value is less then 0.1 for both days and  hospital; there is significant difference by hospital and day of week

option A is correct

SUMMARY Count Sum Average Variance Monday 3 89 29.66667 80.33333 Tuesday 3 58 19.33333 25.33333 Wednesday 3 52 17.33333 17.33333 Thursday 3 60 20 4 Friday 3 72 24 16 St luke 5 99 19.8 11.2 St Vincent 5 134 26.8 63.2 Merry 5 98 19.6 26.8 ANOVA Source of Variation SS df MS F P-value F crit Rows 286.9333 4 71.73333 4.868778 0.027568 2.806426 Columns 168.1333 2 84.06667 5.705882 0.028847 3.113118 Error 117.8667 8 14.73333 Total 572.9333 14