The weights of a population of workers have mean 167 and standard deviation 27. (a) If a

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The weights of a population of workers have mean 167 and standard deviation 27.

(a) If a sample of 36 workers is chosen, approximate the probability that the sample mean of their weights lies between 163 and 170.

(b) Repeat part

(a) when the sample is of size 144.

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