Two Sample Hypothesis Tests – Womens’ Shoe Sizes
October 6th, 2022
Are women’s feet getting bigger? Retailers in the last 20 years have had to increase their stock of
larger sizes. Wal-Mart Stores, Inc., and Payless ShoeSource, Inc., have been aggressive in stocking
larger sizes, and Nordstrom’s reports that its larger sizes typically sell out first. Assuming equal
variances, at α = .025, do these random shoe size samples of 12 randomly chosen women in each
age group show that women’s shoe sizes have increased? (See The Wall Street Journal, July 17,
2004.)
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