2. 100 and = 30 for the Construct a 99% confidence interval to estimate the popu

Question

2. 100 and = 30 for the Construct a 99% confidence interval to estimate the population mean with following sample sizes. a) n = 38 n = 47 b) c) n = 61 a) With 99% confidence, when n=38, the population mean is between the lower limit of (Round to two decimal places as needed.) b) With 99% confidence, when n= 47, the population mean is between the lower limit of (Round to two decimal places as needed.) c) With 99% confidence, when n=61, the population mean is between the lower limit of (Round to two decimal places as needed.)

Explanation / Answer

= 30 x' = 100 z = 2.576

a) n = 38

Lower limit = 100 - 2.576 * 30 / 38 = 87.46

Upper limit = 100 + 2.576 * 30 / 38 = 112.54

b) n = 47

Lower limit = 100 - 2.576 * 30 / 47 = 88.73

Upper limit = 100 + 2.576 * 30 / 47 = 111.27

c) n = 61

Lower limit = 100 - 2.576 * 30 / 61 = 90.11

Upper limit = 100 + 2.576 * 30 / 61 = 109.89.

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