# Assume that females have pulse rates that are normally distributed with a mean of mu equals 74.0 beats per minute and a standard deviation of sigma equals 12.5 beats per minute. If 16 adult females are randomly​ selected, find the probability that they have pulse rates with a mean between 68 beats per minute and 80 beats per minute.

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Assume that females have pulse rates that are normally distributed with a mean of mu equals 74.0 beats per minute and a standard deviation of sigma equals 12.5 beats per minute.

If 16 adult females are randomly​ selected, find the probability that they have pulse rates with a mean between 68 beats per minute and 80 beats per minute.

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Step 1

Denote X as the pulse rates of females. It is given that X is normally distributed, with mean μ = 74 beats per minute and standard deviation σ = 12.5 beats per minute.

Let X bar be the mean pulse rates of females.16 females are selected. It is known that,

Step 2

The probability that the sample mean score is ...

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