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 0.05 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 11 14 13 12 15 14 9 11 11 14 After 10 14 11 13 13 13 8 12 10 15 Step 1 of 3 : State the n ull and alternative hypotheses for the test. Fill in the blank below. H0Ha: μd=0: μd⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯0 3) draw a conclusion and form a decision (word it like "we fail to reject the null hypothesis and conclude that there is sufficient evidence")
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 0.05 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 11 14 13 12 15 14 9 11 11 14
After 10 14 11 13 13 13 8 12 10 15
Step 1 of 3 : State the n
ull and alternative hypotheses for the test. Fill in the blank below.
H0Ha: μd=0: μd⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯0
3) draw a conclusion and form a decision
(word it like "we fail to reject the null hypothesis and conclude that there is sufficient evidence")
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