Describe the sampling distribution of x

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Let x1, x2, . . . , x100 denote the actual net 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 x be the sample mean weight (n 5 100).

a. Describe the sampling distribution of x.

b. What is the probability that the sample mean is be- tween 49.75 pounds and 50.25 pounds?

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

Reference no: EM131010378

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