A survey of female high school seniors shows that the average amount of time spent on clothes, hair, and makeup each morning before school is 35 minutes Assume that the distribution of preparation times is approximately normal with a standard deviation of 14 minutes, and find each of the requested ...

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A survey of female high school seniors shows that the average amount of time spent on clothes,

Question:

A survey of female high school seniors shows that the average amount of time spent on clothes, hair, and makeup each morning before school is µ = 35 minutes. Assume that the distribution of preparation times is approximately normal with a standard deviation of σ = 14 minutes, and find each of the requested values.

a. What proportion of female high school seniors spend more than 40 minutes preparing themselves for going to school each morning?

b. What is the probability of randomly selecting a female high school senior who spends less than 10 minutes on her clothes, hair, and makeup each morning?

c. What is the probability of obtaining a mean preparation time less than M = 30 minutes for a sample of n = 49 female high school students?

Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...