Assume that the heights of men are normally distributed with a mean of 69.0 inches and a standard deviation of 2.8 inches. if 64 men are randomly selected, find the probability that they have a mean height between 68 and 70 inches.

0.9958

Step-by-step explanation:

We assume that the heights of men are normally distributed with

Mean :

Standard deviation :

Sample size :

The value of z-score is given by:

Let x be the height of the randomly selected men.

For x= 68

For x= 70

Now, the probability that they have a mean height between 68 and 70 inches is given by :-

Hence, the probability that they have a mean height between 68 and 70 inches = 0.9958

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step-by-step explanation:

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