4. [4 pts] To estimate the mean heights (which are normally distributed) of female students on your campus, you will measure a simple random sample of female students. You know from government data that the standard deviation of the heights of young women is about 2.6 inches and the mean is 64 inches. a. If we record the heights of 10 randomly selected female students what is the probability that their mean height is between 62 and 65 inches? You must sketch the distribution (including labels) and shade in the corresponding region to your probability for full credit. standard error (SE)= = 2.6 10 3,162 =0.822 62-64 sample size lower z-score = 0.822 upper z-score = 65-64 IP(-2.43