Question
Janiceis a fashion designerwho wondered garments in vibrant colors attracted more attention in stores thanmuted colors. To test this theory, Janiceduplicated all of her garments
Janiceis a fashion designerwho wondered garments in vibrant colors attracted more attention in stores thanmuted colors. To test this theory, Janiceduplicated all of her garments with vibrant colorsto be inmuted colors and duplicated all of her garments in muted colors be in vibrant colors. During one weekend in a pop-up store, she randomly selected garments to show on Saturdayand showed the color-switched garments on Sunday. She used the security footage to find the average time people looked at each of her10
garments. Assume that both of the populations are normally distributed.
She tests the paired data, where=0.05
To evaluate the claim that the true mean difference in the times between the black and white paintings and the color paintings is significantly different from zero.
For this test:H
0
:
d
=0
,H
a
:
d
0, which is a two-tailed test.
The test results are:t4.755
,p-value is approximately0.001
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