Problem: Heights of Females
Heights of females are known to follow a normal distribution with mean 64.5 inches and standard deviation 2.8 inches. Based on this information, answer the following questions.
a) Find the probability that a randomly selected female is taller than 67 inches. Draw a picture, shade area, standardize, and use Table 2 to obtain this probability. Please take a picture of your hand drawn sketch and upload it to your Word document. Verify your answer using a StatCrunch normal graph. Copy that image into your document as well.
b) Find the proportion of females who are between 60 and 62 inches tall (use only a StatCrunch graph).
c) Find the maximum height that would put a female in the bottom 4% of all female heights. Draw a picture, shade area, standardize, and use Table 2 to obtain this probability. Please take a picture of your hand drawn sketch and upload it to your Word document. Verify your answer using a StatCrunch normal graph. Copy that image into your document as well.