Mathematical Statistics with Applications Help Homework

7.43: Let denote the random variable for height and for the sample mean. Then if is the mean of

So the probability that the difference between the sample and population means does not exceed 0.5 inch is

per the empirical or 68/95/99.7 rule.

7.44: For a sample of size n, the sample standard deviation would be . We want to find n such that

Comparing to the equation from the previous part, this means we would need

so a sample of at least 157 men would be sufficient.

a. she will receive a refund of $278.

step-by-step explanation: