2. 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? c. Is the answer to part a dependent upon knowing the distribution of X?

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4.2.2
2. 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?
c. Is the answer to part a dependent upon knowing the distribution of X?
Transcribed Image Text:4.2.2 2. 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? c. Is the answer to part a dependent upon knowing the distribution of X?
Expert Solution
Step 1

Introduction:

Define X as the random variable of interest here.

It is given that X has a normal distribution with population mean, μ = 50, and population standard deviation, σ = 2.

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