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(Solved): Suppose the scores of a new standardized math test are Normally distributed with an unknown mean and ...



Suppose the scores of a new standardized math test are Normally distributed with an unknown mean and an unknown standard deviation. A simple random sample of

n=25

students yields an average score of

\bar{x} =525

and a standard deviation of

s=60

. (a) Construct and interpret a

90%

confidence interval for the population mean. (b) Construct and interpret a

95%

confidence interval for the population mean. (c) What sample size would be needed to make the margin of error for the

90%

confidence no more than 7 . (d) What sample size would be needed to make the margin of error for the

95%

confidence no more than 7 .



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