32. Normal Temperatures In Exercise 15 (Chapter 1 Review), Allen Shoemaker derived a distribution of human body

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32. Normal Temperatures In Exercise 15 (Chapter 1 Review), Allen Shoemaker derived a distribution of human body temperatures with a distinct mound shape.9 Suppose we assume that the temperatures of healthy humans are approximately normal with a mean of 37.0°

and a standard deviation of 0.4°.

a. If 130 healthy people are selected at random, what is the probability that the average temperature for these people is 36.80° or lower?

b. Would you consider an average temperature of 36.80° to be an unlikely occurrence, if the true average temperature of healthy people is 37.0°?
Explain.

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