Question

A medical researcher wants to determine whether there is a difference in the mean length of...

A medical researcher wants to determine whether there is a difference in the mean length of time it takes three types of pain relievers to provide relief from headache pain. Several headache sufferers are randomly selected and given one of three medications. Each headache sufferer records the time​ (in minutes) it takes the medication to begin working. The results are given below. At

alphaα

​= 0.01, can you conclude that the mean times are​ different?

Medication 1

Medication 2

Medication 3

12

16

14

15

14

17

17

21

20

12

15

15

19

Hypotheses

Upper H 0H0​:

mu 1μ1

​=

mu 2μ2

​=

mu 3μ3

Upper H 1H1​:

At least one mean is different.  

Calculate the Test Statistic and​ P-value.

Test Statistic

nothing

​= nothing

​P-value p​ = nothing

Test result

​P-value

nothing

alphaα

A.Do not reject

Upper H 0H0.

B.Reject

Upper H 0H0.

Choose the correct conclusion below.

A.

At least one mean length of time to provide relief is different.

B.

The mean lengths of time to provide relief are not different.

Click to select your answer(s).

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