Statistics- We are operating a large catfish farm

| March 30, 2017

We are operating a large catfish farm. We believe our catfish have anaverage weight of 8.8 lbs. Universally accepted scientific publicationsindicate that thestandard deviation of farmed catfish weights is 1.6 lbs. To test whether our assumptionabout our catfish’s average weight is correct, we randomly sample 36 catfish from ourponds. If our assumption is about their average weight is correct, what is the probabilitythat the sample mean of these 36 fish is 8.4 lbs or less?

is there anyway to do this without the standard table?

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