
Normal Distributions and Sampling Distributions
Authored by Anthony Clark
Mathematics
12th Grade

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17 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
These symbols represent the mean and standard deviation for which of the following distributions?
The Population
The Sample
The Sampling Distribution
2.
MULTIPLE CHOICE QUESTION
1 min • 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
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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
16
25
4
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The average cost for a gallon of gasoline is $2.51 (source AAA.org) with a standard deviation of $0.42. Find the mean and standard error of the sampling distribution if n = 49
μx-bar = 2.51, σx-bar = 0.06
μx-bar = 0.358, σx-bar = 0.06
μx-bar = 2.51, σx-bar = 0.06
μx-bar = 2.51, σx-bar = 0.857
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Abigail is analyzing the test scores of her class, which are normally distributed. What percent of the scores fall within the shaded region?
68%
95%
99.7%
50%
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Abigail collected data on the heights of 500 students in her school, and the data is normally distributed. HOW MANY students are within two standard deviations of the mean height?
499
475
340
47500
Answer explanation
In a normal distribution, approximately 95% of the data falls within two standard deviations of the mean. For 500 people, this means about 475 people are within this range, making 475 the correct answer.
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What percent of people within 1 standard deviation of the mean?
99.7
34
68
95
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