Question

A simple random sample of 60 items resulted in a sample mean of 89. The population standard deviation is 12.

a. Compute the 95% confidence interval for the population mean (to 1 decimal).

b. Assume that the same sample mean was obtained from a sample of 120 items. Provide a 95% confidence interval for the population mean (to 2 decimals).

Answer #1

Confidence interval = Z*

= 89

= 12

For 95% confidence level, Z* = 1.96

a) Sample size, n = 60

Confidence interval = 89 1.96 x

= 89 3.0

= **[86.0, 92.0]**

b) Sample size, n = 120

Confidence interval = 89 1.96 x

= 89 2.15

= **[86.85, 91.15]**

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