Question

1. Which of the following statements is true about the standard deviation of X¯?

A. It increases as the sample size n increases.

B. It decreases as the sample size n increases.

C. It changes each time a new sample is drawn.

D. It does not change as the sample size n increases.

2. The standard deviation of the sampling distribution for a sample mean depends on the value(s) of

A. neither the sample size nor the population standard deviation.

B. the population standard deviation but not the sample size

C. the sample size but not the population standard deviation.

D. the sample size and the population standard deviation.

3. For results based on a small random sample from a bell-shaped distribution, the distribution of the sample mean is

A. approximately a normal distribution.

B. not a bell-shaped distribution.

C. a uniform distribution.

D. approximately a standard normal (z-score) distribution

Answer 1

TOPIC: Standard deviation of the distribution of sample mean and the approximate distribution of sample mean for a bell-shaped distribution.