Question

1. Data from three hospitals show the number of surgeries performed on Monday thru Friday. At the 0.05 significance level, can we conclude there is a difference in the mean number of surgeries performed by hospital or by the day of the week?

Hospital Surgery Data
Day	Hospital 1	Hospital 2	Hospital 3
Monday	25	31	35
Tuesday	26	33	33
Wednesday	24	28	30
Thursday	29	30	28
Friday	26	38	27

Answer 1

The hypothesis being tested is:

H₀: µ₁ = µ₂ = µ₃

H_a: Not all means are equal

	Mean	n	Std. Dev
	26.0	5	1.87	Hospital 1
	32.0	5	3.81	Hospital 2
	30.6	5	3.36	Hospital 3
	29.5	15	3.93	Total
ANOVA table
Source	SS	df	MS	F	p-value
Treatment	98.53	2	49.267	5.04	.0257
Error	117.20	12	9.767
Total	215.73	14

The p-value is 0.0257.

Since the p-value (0.0257) is less than the significance level (0.05), we can reject the null hypothesis.

Therefore, we can conclude that there is a difference in the mean number of surgeries performed by the hospital or by the day of the week.