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Assume that females have puno rates that are normally distributed with a mean of p. 75.0 beats per minute and a standard devi
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Answer #1

Here distribution is normal with mean=75 and standard deviation=12.5

a. Here we need to find P(71<x<79)

As distribution is normal we can convert x to z

P(71<x<79)=P(\frac{71-75}{12.5}<z<\frac{79-75}{12.5})=P(-0.32<z<0.32)=0.2510

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b. As population is normal as per central limit theorem distribution of sample mean is also normal

So we can convert sample mean to z

P(71<\overline{x}<79)=P(\frac{71-75}{\frac{12.5}{4}}<z<\frac{79-75}{\frac{12.5}{4}})=P(-1.28<z<1.28)=0.7995

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