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 <em>n</em>, the sample standard deviation would be
. We want to find <em>n</em> 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.
12+6/7n=-25n add 25n and subtract 12 on both sides
25 6/7n=-12 convert to improper fraction
181/7n=-12 multiply both sides by seven to clear the fraction
181n=-84 divide both sides by 181 to get your answer
n= -.46 hope that helps..
Answer is Mary because
8/8 is a whole
4/8 is a half
3/8 is less than 1/2
Answer:

Step-by-step explanation:
