Question

The resistors are independent random variables, and each is uniform in the interval (450, 550). Using the central limit theorem.

A) Increase in mean
B) Decrease in variance
C) Increase in sample size
D) Decrease in standard deviation

Answer 1

As the sample size increases, there will be a decrease in the standard deviation of the sampling distribution of the means.

Step-by-step explanation:

The central limit theorem states that as the sample size increases, the sampling distribution of the means approaches a normal distribution with the same mean as the original distribution and a variance that is equal to the original variance divided by the sample size. Therefore, with an increase in sample size, there will be a decrease in the standard deviation of the sampling distribution of the means. This makes option D) Decrease in standard deviation the correct answer.