Question

In: Statistics and Probability

The population standard deviation for the height of college basketball players is 2.9 inches. If we...

The population standard deviation for the height of college basketball players is 2.9 inches. If we want to estimate a 99% confidence interval for the population mean height of these players with a 0.45 margin of error, how many randomly selected players must be surveyed? (Round up your answer to nearest whole number, do not include any decimals) Answer:

Solutions

Expert Solution

Solution :

Given that,

standard deviation =s =   =2.9

Margin of error = E = 0.45

At 99% confidence level the z is,

= 1 - 99%

= 1 - 0.99 = 0.01

/2 = 0.005

Z/2 = 2.58 ( Using z table ( see the 0.005 value in standard normal (z) table corresponding z value is 2.58 )  

sample size = n = [Z/2* / E] 2

n = ( 2.58* 2.9 /0.45 )2

n =276.44

Sample size = n =277


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