Sampling Distribution Mean

These symbols represent the mean and standard deviation for which of the following distributions?

• The Population Distribution

• The Distribution of the Sample

• The Distribution of the Sample Means (Sampling Distribution)

The mean of a population is μ = 200 the standard deviation is σ = 20. Random samples of size 25 are taken from this population.

What is the mean of the sampling distribution?

• 200

• 16

• 25

• 4

• 50

• 25

• 20

• 5

The average speed of 1500 vehicles traveling on a stretch of highway one particular day is 67 miles per hour with a standard deviation of 3.5 miles per hour. If 100 vehicles are randomly selected as samples, what would be the mean of the resulting sampling distribution of sample means?

• 63.5

• 67

• 70.5

• 74

The mean of the sampling distribution for average taxi fare where the sample size is 25 is _____.

If the population mean is 50 and the standard deviation is 10, what is the mean of the sampling distribution if the sample size is 100?

• 75

• 25

• 50

• 100

The mean and standard deviation of a population are 200 and 20, respectively. Sample size is 25. 
What is the mean of the sampling distribution?

• 200

• 16

• 25

• 4

Tags

(SR.DSR.4.3

The mean of the sampling distribution is the same as the mean of the population.

• True

• False

The amount of fuel used by jumbo jets to take off is normally distributed with a mean of 4000 gallons and a standard deviation of 125 gallons. What is the shape, mean and standard deviation of the distribution of sample means from samples of size n = 81.

• Normal,  $\mu_x$  = 4000,  $\sigma_x$  = 1.543

• Normal,  $\mu_x$  = 4000,  $\sigma_x$  = 13.89

• Normal,  $\mu_x$  = 444,  $\sigma_x$  = 13.89

What happens to the shape of a sampling distribution of sample means as the sample size (n) increases?

• It becomes narrower (less variability) and bimodal.

• It becomes narrower (less variability) and more normal.

• It becomes wider (more variability) and skewed right.

• It becomes wider (more variability) and more normal.