Central Limit Theorem

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

• The Population

• The Sample

• The Sampling Distribution

• The Parameter

Tags

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.4

True or False:

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

• True

• False

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

True or False:

As the sample size n increases without limit, the shape of the distribution becomes less normal.

• True

• False

Tags

CCSS.HSS.ID.A.3

True or False:

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

• True

• False

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.ID.A.4

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

• It becomes narrower and bimodal.
• It becomes narrower and more normal.
• It becomes wider and skewed right. 
• It becomes wider and more normal. 

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

Tags

CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.3

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

Tags

CCSS.HSS.ID.A.4

REVIEW!

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

• 0.6179

• 0.488

• 0.3783

• 0.3821

Tags

CCSS.HSS.ID.A.4

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 probability that the mean number of gallons of fuel needed to take off for a randomly selected sample of 40 jumbo jets will be less than 3950 gallons?

• .0057
• .025
• .345
• .781

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.ID.A.4

CCSS.HSS.MD.A.3

Suppose the teenagers that attend public high schools get an average of 5.7 hours of sleep each night with a standard deviation of 1.7 hours.  What is the probability that a randomly selected group of 35 high school students get more than 6 hours of sleep each night?

• .430
• .148
• .281
• .087

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.ID.A.4

CCSS.HSS.MD.A.3