Question: In an experiment to compare two different materials A and B that might be used for manufacturing the heels of mens dress shoes, 15 men

In an experiment to compare two different materials A and B that might be used for manufacturing the heels of men€™s dress shoes, 15 men were selected and fitted with a new pair of shoes on which one heel was made of material A and one heel was made of material B. At the beginning of the experiment, each heel was 10 millimeters thick. After the shoes had been worn for one month, the remaining thickness of each heel was measured. The results are given in Table 10.46. Test the null hypothesis that material A is not more durable than material B against the alternative that material A is more durable than material B, by using
(a) The sign test of Exercise 1.
(b) The Wilcoxon signed ranks test of Exercise 15.
(c) The paired t test.
Table 10.46 Data for Exercise 16

ri 4 4 8 0 8 1 3 5 0 6 4 7 2 41 e7588 6 9677647499 ri 6 0 3 2 2 3 9 5 8519141 e67, 8 8 5 9 7 8 7 7 6 8 6 99 ai 1 2 3 4 5 6 7 8 9 012345 1

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For i 1 15 let D i thickness for material A in pair i thickness for material B in pair i a Of the 15 values of D i 10 are positive 3 are negative and ... View full answer

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