Find the 99% confidence interval for the population mean when the population standard deviation is
three and the sample mean is six. Assume the population has a normal distribution and 10 items are
in the sample

Respuesta :

The 99% confidence interval for the population mean is 6± 2.443

Confidence interval

The formula for calculating the confidence interval is expressed as:

CI = x± z(s/√n)

GIven the following parameters

x = 6

s = 3

n = 10

z score at 99% = 2.576

Substitute into the formula to have:

CI = 6± 2.576(3/√10)

CI = 6± 2.443

Hence the 99% confidence interval for the population mean is 6± 2.443

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