If all samples of size 64 are drawn mean of sample, Ask an Expert

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Q1) IQ scores are normally distributed with the mean of 100 points and standard deviation of 15 points. If all samples of size 64 are drawn, mean of sample according to Central Limit Theorem is 100.

a) True

b) False

Q2) Heighst of adult males are normally distributed with the mean of 69 inches and standard deviation of 2.8 inches.

a) Group of 225 adult males is chosen at random, determine the probability that their mean height is between 68 inches and 70 inches.

b) Group of 121 adult males is chosen at random; determine probability that their mean height is 72 inches or more.

c) Group of 417 adult males is chosen at random, determine the probability that their mean height is between 67.5 inches and 68.5 inches.

d) Group of 600 males is chosen at random, determine the probability that their mean height is between 68.7 inches and 69.3 inches.

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