Write down the R solutions of the following questions. A shoe company wants to compare two materials, A and B, for use on the soles of boys' shoes. In this example, each of 10 boys in a study wore a special pair of shoes with the sole of one shoe made from Material A and the sole on the other shoe made from Material B. The sole types were randomly assigned to account for systematic differences in wear between the left and right foot. After three months, the shoes are measured for wear. The results are: Material A = 13.2, 8.2, 10.9, 14.3, 10.7, 6.6, 9.5, 10.8, 8.8, 13.3 Material B = 14, 8.8, 11.2, 14.2, 11.8, 6.4, 9.8, 11.3, 9.3, 13.6 Test the hypothesis H0: µdifference = 0 versus H1: µdifference≠ 0 at 95% confidence level.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 1EQ: 1. Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed...
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Write down the R solutions of the following questions.

A shoe company wants to compare two materials, A and B, for use on the soles of boys' shoes. In this example, each of 10 boys in a study wore a special pair of shoes with the sole of one shoe made from Material A and the sole on the other shoe made from Material B. The sole types were randomly assigned to account for systematic differences in wear between the left and right foot. After three months, the shoes are measured for wear. The results are:
Material A = 13.2, 8.2, 10.9, 14.3, 10.7, 6.6, 9.5, 10.8, 8.8, 13.3
Material B = 14, 8.8, 11.2, 14.2, 11.8, 6.4, 9.8, 11.3, 9.3, 13.6
Test the hypothesis H0: µdifference = 0 versus H1: µdifference≠ 0 at 95% confidence level.

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