Central Limit Theorem (means)

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

• The skew gets bigger

• The skew is reversed

• It becomes narrower and more normal.

• The shape is the same, but wider

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 deviation of the sampling distribution?

• 400

• 40

• 25

• 8

• 5

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

• The Population

• The sample

• The sampling distribution (mean)

• The sampling distribution (proportion)

Tags

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

CCSS.HSS.ID.A.4

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

• The Population

• The Sample

• The sampling distribution (mean)

• The sampling distribution (proportion)

Tags

CCSS.HSS.IC.B.4

CCSS.HSS.ID.A.4

What is the standard deviation of the distribution?

• 1010

• 60

• 40

• 20

Tags

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.4

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?

• 0.62%

• 2.28%

• 97.72%

• 99.38%

Tags

CCSS.HSS.ID.A.4

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

• 25

• 20

• 5

• 4

Tags

CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.3

The mean and standard deviation of a population are 200 and 20, respectively. Sample size is 25.

What is the standard deviation of the sampling distribution?

• 200

• 25

• 20

• 5

• 4

Researches 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?

• Approximately 0.0418

• Approximately 0.09

• Approximately 0.57

• Approximately 0.67

• Approximately 0.9582

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.ID.A.4

CCSS.HSS.MD.A.3