Question

Assume that the heights of men are normally distributed with a mean of 68.1 inches and a standard deviation of 2.8 inches. If 64 men are randomly selected, find the probability that they have a mean height greater than 69.1 inches

Answer 1

Givent Assuming that the heights of men are Normally distributed with mea mean (de) = 68.1 standard deviation () = 2.8 Here if 64 men are randomly selected, 1 m) = 64 we need to find the probability that the mean height greater than 69.1 inches, Plx>69.1) = ? 2.8 64 we know that t= x - de la p[x261– e certaines ) = P(Z > 1 ) =P(7> 2.85114)

= P(Z > 2186) By using the standard Normal table, = P(Z > 2186) = 0.0021 1: p(7>69.1) = 0.00211 Therefore, the probability that they mean height greater than 69.1 inches is plū>69.1) = 0.0021