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Central Limit Theorem

Mathematics

11th - 12th Grade

CCSS covered

Used 131+ times

Central Limit Theorem
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9 questions

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1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

CCSS.HSS.IC.A.1

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.2

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

200
16
25
4

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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?

69%
0.6%
31%
99%

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.ID.A.4

CCSS.HSS.IC.B.4

CCSS.HSS.MD.A.3

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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.IC.A.1

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.2

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

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?

.121
.299
.345
.781

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.ID.A.4

CCSS.HSS.IC.B.4

CCSS.HSS.MD.A.1

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

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.IC.B.4

CCSS.HSS.MD.A.3

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