Normal Distributions and the Central Limit Theorem

Normal Distributions and the Central Limit Theorem

9th - 12th Grade

25 Qs

quiz-placeholder

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Normal Distributions and the Central Limit Theorem

Normal Distributions and the Central Limit Theorem

Assessment

Quiz

Mathematics

9th - 12th Grade

Medium

Created by

Scott Sutton

Used 6+ times

FREE Resource

25 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image
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?
.236
.429
.571
.614

2.

MULTIPLE CHOICE QUESTION

3 mins • 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

3.

MULTIPLE CHOICE QUESTION

30 sec • 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?

.006

.299
.345
.781

4.

MULTIPLE CHOICE QUESTION

15 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

5.

MULTIPLE CHOICE QUESTION

15 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

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image
These symbols represent the mean and standard deviation for which of the following distributions?
The Population
The Sample
The Sampling Distribution

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

True or False:

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

True

False

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