Question: Let x be a random variable representing the length of a cutthroat trout in Pyramid lake. A friend claims that the average length of trout

  1. Let x be a random variable representing the length of a cutthroat trout in Pyramid lake. A friend claims that the average length of trout caught in this lake is 19 inches. To test this claim we find that a sample of 13 trout has a mean length of 18.1 inches with a sample standard deviation of 3.3 inches. The population standard deviation is unknown. If you assume that the population mean is 19, find the P-value corresponding to the hypothesis that the average cutthroat trout length is different from 19 (i.e. two-tail test).

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