The publishers of Consumer Reports Magazine have reported a new trend in fashion: Vanity Sizing. According to an
article from May 2005, a pair of size 10 women’s pants is supposed to have a waist size of 28 inches. However, the
researchers believe that clothing companies are making pants with bigger waists but keeping the same size label in
order to be more appealing. To investigate their claim, researchers took a random sample of 12 pairs of pants labeled
as size 10 and measured the actual waist sizes. The (made-up) data below represents the waist size (in inches) from
each pair of pants sampled:
34.5
36
30
28
30
29
32 The publishers of Consumer Reports Magazine have reported a new trend in fashion: Vanity Sizing. According to an
article from May 2005, a pair of size 10 women’s pants is supposed to have a waist size of 28 inches. However, the
researchers believe that clothing companies are making pants with bigger waists but keeping the same size label in
order to be more appealing. To investigate their claim, researchers took a random sample of 12 pairs of pants labeled
as size 10 and measured the actual waist sizes. The (made-up) data below represents the waist size (in inches) from
each pair of pants sampled:
34.5
36
30
28
30
29
32
27
31
29.5
33.5
36
Do the data provide convincing evidence that companies are making pants with bigger waists than 28? Test the appropriate
hypotheses using 훼 = 0.01?
27
31
29.5
33.5
36
Do the data provide convincing evidence that companies are making pants with bigger waists than 28? Test the appropriate
hypotheses using 훼 = 0.01?
