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In constructing a 99% confidence level estimate of the mean when the population

ID: 3075421 • Letter: I

Question

In constructing a 99% confidence level estimate of the mean when the population standard deviation () is unknown and the sample size is 35, what will be your t score used in the formula? In constructing a 90% confidence level estimate of the mean when the population standard deviation () is unknown and the sample size is 30, what will be your t score used in the formula? In constructing a 98% confidence level estimate of the mean when the population standard deviation () is unknown and the sample size is 33, what will be your t score used in the formula?

Explanation / Answer

a) df = 35 - 1 = 34

T score for 99% confidence interval = t0.005,34 = 2.728

b) df = 30 - 1 = 29

T score for 90% confidnece interval = t0.05,29 = 1.699

c) df = 33 - 1 = 32

T score for 98% confidnece interval = t0.01,32 = 2.449

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