Reference no: EM132422128
Problem: A) Given the population of men have normally distributed heights, with a mean of 160cm and a standard deviation of 22cm,
i) If one man is randomly selected, find the probability that his height is greater than 160 cm
ii) If 52 different men are randomly selected, find the probability that their mean height is less than 160 cm.
B) Given the population of 570 automobile models, with a mean horsepower = 130 HP, and a standard deviation = 50 HP,
i) What is the standard error of the sample mean for a sample of size 17?
i) What is the standard error of the sample mean for a sample of size 125?
iii) If 55 models are randomly selected from the population, find the probability that their mean horsepower is greater than 140 HP