Sampling Distribution of Sample Means

Consider a population which is normally distributed. If σ²=9 and n=16, what is the variance of the sampling distribution of sample means? (Do not round off)

Consider a population which is normally distributed. If\sigma=2 and n=9 , what is the standard deviation of the sampling distribution of sample means?

• 0.67

• 0.22

• 0.44

• 1.33

Cellular phone bills for residents of a city have a mean of P1,000 and a standard deviation of P170. Random samples of 100 cellular phone bills are drawn from this population and the mean of each sample is determined. Find the mean of the sampling distribution of sample means.

• 1000

• 170

• 100

• 17

Cellular phone bills for residents of a city have a mean of P1,000 and a standard deviation of P170. Random samples of 100 cellular phone bills are drawn from this population and the mean of each sample is determined. Find the standard deviation of the sampling distribution of the sample means.

Suppose the training heart rates of all 20-year old athletes are normally distributed, with a mean of 135 beats per minute and standard deviation of 18 beats per minute. Random samples of size 4 are drawn from this population, and the mean of each sample is determined. Find the mean of the sampling distribution of sample means

• 135

• 18

• 4

• 20

Suppose the training heart rates of all 20-year old athletes are normally distributed, with a mean of 135 beats per minute and standard deviation of 18 beats per minute. Random samples of size 4 are drawn from this population, and the mean of each sample is determined. Find the variance of the sampling distribution of sample means

The mean and standard deviation of a population are 400 and 40, respectively. Sample size is 25. 
What is the mean of the sampling distribution?

• 400

• 40

• 25

• 8

The mean and standard deviation of a population are 400 and 40, respectively. Sample size is 25. 
What is the standard error of the sampling distribution?

• 400

• 40

• 25

• 8

The mean of the sample means is equal to the mean of the population.

• True

• False

True or False:

Whatever is the distribution of the population if sample size is increased, the distribution will become approximately normal.

• True

• False