Question: 1. Suppose the random variable X is drawn from a normal population with mean fifty and standard deviation two. a. For samples of size sixty,

1. Suppose the random variable X is drawn from a normal population with mean fifty and standard deviation two.

a. For samples of size sixty, what is the sampling distribution of the sample mean?

b. Is the answer to part a dependent upon the sample size being at least a specific size?

2. The recovery time taken for shoulder surgery for a college fast-pitch pitcher is normally distributed with mean 8 months and a standard deviation of 1.2 months. If you randomly select 16 college fast-pitch pitchers, what is the probability that their mean recovery time is less than 8.5 months?

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