statistics
a basketball scout randomly selected 144 players and timed how longeach player took to perform a certain drill. The times in the sample were distributed with a mean of 8 mins. The population standard deviation was known to be 3 minutes. Using a 95% confidence interval, estimate the population mean of drill times
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The 95% confidence interval for the population mean of drill times is between 7.6 and 8.4 minutes. This shows that we are 95% confident that the mean of the population of all players, not just the sample of 144 players, is between 7.6 and 8.4 minutes. This confidence interval is calculated by adding and subtracting 1.96 times the standard error of the mean to the sample mean. The standard error is calculated as the population standard deviation divided by the square root of the sample size. In this case, the standard error is 3 minutes divided by the square root of 144, or 0.5 minutes.
