Chapter 2, Exercise 16 showed the histogram of the European shoe sizes from a sample of 269 college students. Looking at the men only, a 95% confidence interval for the mean shoe size shows: 

95 percent confidence interval: 

44.3071............................44.9900 

The student knows that European shoes are sized only in whole and half sizes, so is surprised that most men wear size 44.5 shoes. What is wrong with the student’s reasoning?

Data From Chatper 2 Exercise 16

A last is a form, traditionally made of wood, in the shape of the human foot. Lasts of various sizes are used by
shoemakers to make shoes. In the United States, shoe sizes are defined differently for men and women:
U.S. men’s shoe size = (last size in inches x 3) - 24
U.S. women’s shoe size = (last size in inches x 3) - 22.5
But in Europe, they are both: Euro size = last size in cm x 3>2
Here is a histogram of the European shoe sizes of 269 college
students (converted from their reported U.S. shoe sizes):

Transcribed Image Text:

Count 60 50 40 30 20 10 34 36 38 40 42 44 46 48 50 Shoe Size