Central Limit Theorem

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.6.SP.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

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

• The Population
• The Sample
• The Sampling Distribution

Tags

CCSS.HSS.ID.A.4

CCSS.HSS.ID.A.2

What is the standard deviation of the distribution?

• 1010
• 20
• 60
• √20

Tags

CCSS.HSS.ID.A.4

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

The mean and standard deviation of a population are 200 and 20, respectively. 
What is the probability of selecting 25 data values with a mean less than 190?

• 62%
• 0.62%
• 31%
• 99.38%

Tags

CCSS.HSS.ID.A.4

Researchers found that boys playing high school football absorb an average of 355 hits to the head with a standard deviation of 80 hits during a season.  What is the probability on a randomly selected team of 48 players that the average number of head hits per player is between 340 and 360?

• .7632
• .4290
• .5696
• .6664

Tags

CCSS.HSS.ID.A.4

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.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
• .2991
• .9943
• .7810

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?

• .8508
• .1492
• .2815
• .0872

Tags

CCSS.HSS.ID.A.4

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

CCSS.HSS.MD.A.3

Let the mean=1000 and the standard deviation =25. In a group of 20 randomly selected unicorns, what is the standard deviation of the sampling distribution? Assume it is normally distributed.

• 25
• 1.25
• 5.59
• 4

Tags

CCSS.HSS.ID.A.4

The weights of unicorns are given have a mean of 1000 and a standard deviation of 25. What is the probability that the average weight of 25 randomly selected unicorns is greater than 1010 pounds? Assume it is normally distributed.

• 65.54%
• 97.72%
• 2.28%
• 34.46%

Tags

CCSS.HSS.ID.A.4