Question

The population standard deviation for the height of college basketball players is 2.4 inches. If we want to estimate 97% confidence interval for the population mean height of these players with a 0.35 margin of error, how many randomly selected players must be surveyed? (Round up your answer to nearest whole number) Answer:

Answer 1

Solution:

Given:

The population standard deviation for the height of college basketball players =   inches.

Confidence Level = c = 97% = 0.97

E = Margin of Error = 0.35

We have to find sample size n = Number of  players must be surveyed=...........?

Formula:

where

We need to find z_c value for c=97% confidence level.

Find Area = ( 1 + c ) / 2 = ( 1 + 0.97) /2 = 1.97 / 2 = 0.9850

Area 0.9850 corresponds to 2.1 and 0.07

Thus z = 2.17

that is: z_c = 2.17

Thus

Thus the number of players must be surveyed = n = 222