Suppose for a large population of women the mean height of all women is 164.3cm with a standard deviation of 6.5cm.
A. If 90 of the women are to be selected at random find the probablility their mean height (X) will be less than 165 cm
B. If part A were done for an SRS of 900 women instead, would the probability be higher or lower? Explain in words with no calculations.