Assume that the birthweights of babies born into low socioeconomic status are normally distributed with a mean of 116 oz and a standard deviation of 18 oz. We generate 100 random samples, each...

Assume that the birthweights of babies born into low socioeconomic status are normally distributed with a mean of 116 oz and a standard deviation of 18 oz. We generate 100 random samples, each consisting of 100 birthweights from this distribution. For each sample, the hypotheses

are posed for the appropriate one-tailed t-test at a 5% level of significance. Consider the number of samples k where H0 is accepted.

Calculate the population mean and variance for k. (Hint: what does it mean to accept H0 for this data?) Show step by step and any equations used.