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).
Get Answers For Free
Most questions answered within 1 hours.