Question

In: Statistics and Probability

assume that women's heights are normally distributed with a mean 64.6 in. and a standard deviation...

assume that women's heights are normally distributed with a mean 64.6 in. and a standard deviation 2.6 in. if 49 women are randomly selected, find the probability they have a mean less than 65 in

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Expert Solution

Solution :

Given that ,

mean = = 64.6

standard deviation = = 2.6

n = 49

= 64.6

= / n = 2.6 / 49

P( < 65) = P(( - ) / < (65 - 64.6) / 2.6 / 49)

= P(z < 1.08)

= 0.8599


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