Suppose you want to determine the average height of college basketball players in NCAA Division I. In a random sample of 10 players, the sample average is 72.075 inches with a standard deviation of 4.8507 inches. What is the 95% confidence interval for the average height of all NCAA D-I players

95% confidence interval for the average height of all NCAA D-I players is [68.61 , 75.54].

Step-by-step explanation:

We are given that in a random sample of 10 players, the sample average is 72.075 inches with a standard deviation of 4.8507 inches.

So, the pivotal quantity for 95% confidence interval for the average height is given by;

           P.Q. = ~

where, = sample average height = 72.075 inches

             s = sample standard deviation = 4.8507 inches

             n = sample of players = 10

              = population mean height

So, 95% confidence interval for the population mean height, is ;

P(-2.262 < < 2.262) = 0.95

P(-2.262 < < 2.262) = 0.95

P( < < ) = 0.95

P( < < ) = 0.95

95% confidence interval for = [ ,   ]

                                               = [ , ]

                                                = [68.61 , 75.54]

Therefore, 95% confidence interval for the average height of all NCAA D-I players is [68.61 , 75.54].

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step-by-step explanation: