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
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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
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