The data table contains frequency distribution of the height

The data table contains frequency distribution of the heights of the players in a basketball league.

Height_(in.)

79, 79, 79, 79, 79, 78, 76, 75, 75, 75, 75, 75, 75, 75, 75, 74, 74, 74, 73, 73, 72, 72, 72, 72, 72, 72, 72, 71, 70, 70, 69, 69, 69, 69, 69, 69, 69, 68, 68, 68, 67, 67, 67, 67, 66, 65, 65, 65, 65, 65, 65, 65, 65, 64, 64, 64, 64, 62, 61, 60

a. Calculate the mean and standard deviation of this population.

The population mean is (   ).

(Round to one decimal place as needed.)

The population standard deviation is (   ).

(Round to two decimal places as needed.)

b. What is the probability that a sample mean of 40 players will be less than 69.5 in.?

The probability that the sample mean will be less than 69.5 is (   ).

(Round to four decimal places as needed.)

c. What is the probability that a sample mean of 40 players will be more than 71 in.?

The probability that the sample mean will be more than 71 is (   ).

(Round to four decimal places as needed.)

d. What is the probability that a sample mean of 40 players will be between 70 and 71.5 in.?

The probability that the sample mean will be between 70 and 71.5 is (   ).

(Round to four decimal places as needed.)

Solution