In: Statistics and Probability
The sample mean salary of 500 NBA players is 7 million dollars. We also know that the population standard deviation is 1 million dollars. We want to construct a confidence interval for population mean with 95% confidence. What will be the length of our confidence interval (in terms of million dollars)?
7 1.96 ( 1 / 500 )
7 0.0877
( 6.9123 , 7.0877 )
At 95 % CI for population Mean is ( 6.9123 , 7.0877 )
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Length of the interval is = upper confidence Interval - lower Confidence Interval
Length of the interval is = 7.0877 - 6.9123
Length of the interval is = 0.1754 Million doller