Normal Distributions and Central Limit Theorem

A group of 625 students has a mean age of 15.8 years with a standard deviation of 0.6 years. The ages are normally distributed. What is the probability that a randomly selected student is older than 16.5 years old?

• 0.864

• 0.879

• 0.121

• None of these

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

• True

• False

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

• The Population

• The Sample

• The Sampling Distribution

• The Parameter

Find the area of the shaded region if the z-score is -0.3

• 0.6179

• 0.488

• 0.3783

• 0.3821

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

• The Population

• The Sample

• The Sampling Distribution

What is the mean of the sampling distribution?

• 400

• 40

• 25

• 8

What is the standard deviation of the sampling distribution?

• 400

• 40

• 25

• 8

• 5

What is the probability of selecting 25 data values with a mean less than 190?

• 0.62%

• 2.28%

• 97.72%

• 99.38%

What is the mean of the sampling distribution?

• 200

• 25

• 20

• 5

• 4