Question

A medical researcher wants to study the length of time it takes three types of pain relievers to provide relief from headache pain. The results (in minutes) are shown in the table below.

Type 1	Type 2	Type 3
12	16	14
15	14	17
17	21	20
12	15	15
14	19	17

Using the data above, test the claim that the means are equal for all 3 groups. Use 0.05 as the significance level. Round your answer to 3 decimal places.

Group of answer choices

p-value=0.999, evidence support claim

p-value=0.016, evidence support claim

p-value=0.156, evidence support claim

p-value=0.016, evidence not support claim

p-value=0.156, evidence not support claim

Answer 1

The answer is:

p-value=0.156, evidence support claim

Since the p-value =0.156 > 0.05 we fail to reject the null hypothesis and conclude that the means are equal for all 3 groups. Hence the evidence support the claim that the mean are equal for all 3 groups.

The ANOVA run in excel is: