In order to estimate the average time spent per student on the computer terminals at a local university, data were collected for a sample of 64 business students over a one-week period.Assume the population standard deviation is 1.6 hours.The standard error of the mean is

A) 1.6.
B) .025.
C) 2.00.
D) .20.

Question

Christian Gomez · Accepted Answer

Final Answer : D, Explanation :   The standard error of the mean is calculated using the formula   σ x ˉ = σ n \sigma_{\bar{x}} = \frac{\sigma}{\sqrt{n}} σ x ˉ ​ = n ​ σ ​  , where   σ \sigma σ   is the population standard deviation and   n n n   is the sample size. Here,   σ = 1.6 \sigma = 1.6 σ = 1.6   hours and   n = 64 n = 64 n = 64  , so   σ x ˉ = 1.6 64 = 1.6 8 = 0.2 \sigma_{\bar{x}} = \frac{1.6}{\sqrt{64}} = \frac{1.6}{8} = 0.2 σ x ˉ ​ = 64 ​ 1.6 ​ = 8 1.6 ​ = 0.2   hours.

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