Let x 1 , x 2 , . . . , x 100 denote the actual weights

Question:

Let x₁, x₂, . . . , x₁₀₀ denote the actual weights (in pounds) of 100 randomly selected bags of fertilizer. Suppose that the weight of a randomly selected bag has a distribution with mean 50 pounds and variance 1 pound². Let x̅ be the sample mean weight (n = 100).

a. Describe the sampling distribution of x.

b. What is the probability that the sample mean is between 49.75 pounds and 50.25 pounds?

c. What is the probability that the sample mean is less than 50 pounds?

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...

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