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Recall that weight in adult women is normally distributed with = 140 pounds and = 15 pounds. Suppose a sample of size n = 16

Recall that weight in adult women is normally distributed with = 140 pounds and = 15 pounds. Suppose a sample of size n = 16 is taken and their average weight x computed.

a. What is the standard error of the sampling distribution?

b. What is the probability that the sample mean x is between 135 and 145?

c. What is the probability that the sample mean x is less than 142?

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