The manufacturer of a new eye cream claims that the cream reduces the appearance of fine lines and wrinkles after just 1
Posted: Wed May 11, 2022 7:14 am
The manufacturer of a new eye cream claims that the cream
reduces the appearance of fine lines and wrinkles after
just 14 days of application. To test the claim, 10 women
are randomly selected to participate in a study. The number of fine
lines and wrinkles that are visible around each participant’s eyes
is recorded before and after the 14 days of treatment. The
following table displays the results. Test the claim at
the 0.10 level of significance assuming that the population
distribution of the paired differences is approximately normal. Let
women before the treatment be Population 1 and let women after the
treatment be Population 2.
Number of Fine Lines and Wrinkles
Before 12 11
12 15 10
13 10 14
10 9
After 12 12
13 12 6
11 9 10
7 8
Step 1 of 3:
State the null and alternative hypotheses for the test. Fill in
the blank below.
H0: μd=0
Ha: μd⎯⎯0
Step 2 of 3:
Compute the value of the test statistic. Round your answer to
three decimal places.
Step 3 of 3:
Draw a conclusion and interpret the decision.
reduces the appearance of fine lines and wrinkles after
just 14 days of application. To test the claim, 10 women
are randomly selected to participate in a study. The number of fine
lines and wrinkles that are visible around each participant’s eyes
is recorded before and after the 14 days of treatment. The
following table displays the results. Test the claim at
the 0.10 level of significance assuming that the population
distribution of the paired differences is approximately normal. Let
women before the treatment be Population 1 and let women after the
treatment be Population 2.
Number of Fine Lines and Wrinkles
Before 12 11
12 15 10
13 10 14
10 9
After 12 12
13 12 6
11 9 10
7 8
Step 1 of 3:
State the null and alternative hypotheses for the test. Fill in
the blank below.
H0: μd=0
Ha: μd⎯⎯0
Step 2 of 3:
Compute the value of the test statistic. Round your answer to
three decimal places.
Step 3 of 3:
Draw a conclusion and interpret the decision.