At a computer manufacturing company, the actual size of computer chips is normally distributed with a mean of 1 centimeter and a standard deviation of 0.1 centimeter. A random sample of 12 computer chips is taken. What is the standard error for the sample mean?
A) 0.029
B) 0.050
C) 0.120
D) 0.091

Question

Quizplus · Accepted Answer

The standard error for the sample mean is the standard deviation of the sampling distribution of the sample mean. The standard deviation of the sampling distribution of the sample mean is equal to the standard deviation of the population divided by the square root of the sample size. In this case, the standard deviation of the population is 0.1 centimeter and the sample size is 12. Therefore, the standard error for the sample mean is 0.1 / sqrt(12) = 0.029.

At a Computer Manufacturing Company, the Actual Size of Computer