Suppose that you work in a shoe company want to compare two materials, A and B,...

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Advance Math

Suppose that you work in a shoe company want to compare twomaterials, A and B, for use on the soles of boys' shoes. In thisproblem, each of ten boys in a study wore a special pair of shoeswith the sole of one shoe made from Material A in column (Mat-A)and the sole on the other shoe made from Material B in column(Mat-B). The sole types were randomly assigned to account forsystematic differences in wear between the left and right foot.After three months, the shoes are measured for wear
data:
weight in lb Mat-A Mat-B
49 13.2 14
51 8.2 8.8
46 10.9 11.2
50 14.3 14.2
51 10.7 11.8
47 6.6 6.4
44 9.5 9.8
47 10.8 11.3
46 8.8 9.3
Weight measurements were made on nine boys in column (weightlb). You know that the distribution of measurements hashistorically been close to normal with s= 0.2. Test if thepopulation mean is 50 and obtain a 90% confidence interval for themean. - (Solve manually and Minitab)
You want to see if these is difference between the twomaterials. Justify your answers by using hypothesis testing andconfidence interval procedures. - (Solve manually and Minitab)
Compare the results from the paired procedure with those froman unpaired- (Solve manually and Minitab)

Answer & Explanation Solved by verified expert

3.9 Ratings (592 Votes)

a To test H0 The test statistic t has t distribution with n1 degrees of freedomt At 10 significance level the critical value obtained from ttable at 8 degrees of freedom is Since t lies outside the range 186 186The hypothesis that is rejected90 confidence interval 4788 16256 4788 16256 462543 4950b To test H0 the test See Answer

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weight in lb	Mat-A	Mat-B
49	13.2	14
51	8.2	8.8
46	10.9	11.2
50	14.3	14.2
51	10.7	11.8
47	6.6	6.4
44	9.5	9.8
47	10.8	11.3
46	8.8	9.3