Refer to Problem 12-1. (a) What is the probability of accepting H 0 if 2

Refer to Problem 12-1.

(a) What is the probability of accepting H₀ if σ²_τ is 4 times the error variance σ²?

(b) If the difference between looms is large enough to increase the standard deviation of an observation by 20 percent, we wish to detect this with a probability of at least 0.80. What sample size should be used?

Problem 12-1.

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Loom Output (lb/min) 14.0 14.1 14.2 14.0 14.1 1 2 13.9 13.8 13.9 14.0 14.0 14.1 14.2 14.1 14.0 13.9 4 13.6 13.8 14.0 13.9 13.7 5 13.8 13.6 13.9 13.8 14.0