1. The goal is to see if there is statistical evidence that the fabric polyester will decay after being in soil. The fabric was left in damp soil for either 2 or 16 weeks, and the breaking strengths in pounds was measured: 2 Weeks 118 120 126 126 129 16 Weeks 98 110 110 124 140 (a) How many possible permutations of the data by group are there? There are (""), where m = sample size for group 1, n = sample size for group two. Thus, we have () = 252.

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I am trying to figure out how the answer to this sample problem is 252. I have tried doing some calculations, but they have not been successful. How did they get 252? What is the manual process of solving this part of the problem?

Thank you for the guidance.

1. The goal is to see if there is statistical evidence that the fabric polyester will decay after being in soil. The fabric was
left in damp soil for either 2 or 16 weeks, and the breaking strengths in pounds was measured:
2 Weeks
118
120
126
126
129
16 Weeks
98
110
110
124
140
(a) How many possible permutations of the data by group are there?
There are ("m), where m = sample size for group 1, n = sample size for group two. Thus, we have () = 252.
n
5
Transcribed Image Text:1. The goal is to see if there is statistical evidence that the fabric polyester will decay after being in soil. The fabric was left in damp soil for either 2 or 16 weeks, and the breaking strengths in pounds was measured: 2 Weeks 118 120 126 126 129 16 Weeks 98 110 110 124 140 (a) How many possible permutations of the data by group are there? There are ("m), where m = sample size for group 1, n = sample size for group two. Thus, we have () = 252. n 5
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