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Are women\'s feet getting bigger?Retailers in the last 20 years have had to incr

ID: 2915405 • Letter: A

Question

Are women's feet getting bigger?Retailers in the last 20 years have had to increase their stock oflarger sizes. Wal-Mart Stores, Inc., and Payless ShoeSource, Inc.,have been aggressive in stocking larger sizes, and Nordstrom'sreports that its larger sizes typically sell out first. Assumingequal variances, at = .025, do theserandom shoe size samples of 12 randomly chosen women in each agegroup show that women's shoe sizes have increased?

Born in 1980:

8

7.5

8.5

8.5

8

7.5

9.5

7.5

8

8

8.5

9

Born in 1960:

8.5

7.5

8

8

7.5

7.5

7.5

8

7

8

7

8

Required:

(a)

Choose the appropriate hypothesis assuming equal variances at a= .025.

(b)

The average shoe size of women has increased.

(b)

The average shoe size of women has increased.

Are women's feet getting bigger?Retailers in the last 20 years have had to increase their stock oflarger sizes. Wal-Mart Stores, Inc., and Payless ShoeSource, Inc.,have been aggressive in stocking larger sizes, and Nordstrom'sreports that its larger sizes typically sell out first. Assumingequal variances, at = .025, do theserandom shoe size samples of 12 randomly chosen women in each agegroup show that women's shoe sizes have increased?


Born in 1980:

8

7.5

8.5

8.5

8

7.5

9.5

7.5

8

8

8.5

9

Born in 1960:

8.5

7.5

8

8

7.5

7.5

7.5

8

7

8

7

8


Required:

(a)

Choose the appropriate hypothesis assuming equal variances at a= .025.


H0: 1 2 versus H1:1 > 2. Reject the nullhypothesis if t < 2.074 (22 df). H0: 1 2 versus H1:1 > 2. Reject the nullhypothesis if t > 2.074 (22 df).

(b)

The average shoe size of women has increased.


True False

(b)

The average shoe size of women has increased.


True False

Explanation / Answer

(a) Answer: H0: 1 2 versus H1:1 > 2. Reject the nullhypothesis if t > 2.074 (22 df). (b) Answer : Ture

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