Question

One benchmark used to measure performance of computer processors is PassMark Software’s CPU Mark. Scores for CPU Mark – higher is better – for three of Intel’s i7 processors are shown in the table below for a small sample of 15 processors. Based on this sample evidence, does there appear to be a significant difference in CPU Mark scores for the three processors?

Core i7 7800X	Core i7 8700K	Core i7 9700
13992	13866	14574
13753	13912	13852
13097	14261	14054
13872	14529	13986
14018	13704	14555

At a 10% significance level, is there a significant difference in the CPU Mark scores for the three processors? Explicitly state your testing hypotheses. Support your answer with statistical evidence.

Answer 1

The hypothesis being tested is:

H0: µ1 = µ2 = µ3

Ha: Not all means are equal

	Mean	n	Std. Dev
	13,746.4	5	378.03	Group 1
	14,054.4	5	334.10	Group 2
	14,204.2	5	336.91	Group 3
	14,001.7	15	379.56	Total
ANOVA table
Source	SS	df	MS	F	p-value
Treatment	5,44,808.13	2	2,72,404.067	2.22	.1512
Error	14,72,135.20	12	1,22,677.933
Total	20,16,943.33	14

The p-value is 0.1512.

Since the p-value (0.1512) is greater than the significance level (0.05), we fail to reject the null hypothesis.

Therefore, we cannot conclude that there is a significant difference in the CPU Mark scores for the three processors.