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7.6 - Sampling Means

Authored by Amanda Benson

Mathematics

12th Grade

CCSS covered

Used 5+ times

7.6 - Sampling Means
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10 questions

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1.

MULTIPLE CHOICE QUESTION

15 mins • 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

Tags

CCSS.HSS.ID.A.4

2.

MULTIPLE CHOICE QUESTION

15 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.ID.A.4

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

The mean and standard deviation of a population are 200 and 20, respectively. 
What is the probability of selecting 64 data values with a mean between 195 and 200?

41%%
48%
1.5%
0.5%

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.ID.A.4

CCSS.HSS.MD.A.3

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

The mean and standard deviation of a population are 200 and 20, respectively. 
What is the probability of selecting 100 data values with a mean greater than 202?

45%
36%
25%
16%

Tags

CCSS.HSS.ID.A.4

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

The mean weight of potato chip bags is 10.5 ounces with a standard deviation of 3 ounces. A random sample of 40 bags of potato chips is selected. What is the probability that the mean of the sample is less than 10 ounces?

P = -1.05
P = .1469
P = .0202
P = .8531

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

The mean distance an OHS student travels to school is 5.6 miles with a standard deviation of 1.7 miles. Mrs. McLemore finds the mean of her 4th period class - a randomly selected sample of 29 students. What is the probability that the mean of her class is more than 6 miles?

P = 0.00

P = 0.1020

P = 0.8980

P = 1.27

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

The mean distance an OHS student travels to school is 5.6 miles with a standard deviation of 1.7 miles. Is it more likely to find one student that travels more than 6 miles to school or a mean of a sample of 29 students that travel more than 6 miles? 

It is more likely to find 1 student that travels more than 6 miles to school
It is more likely to find a sample of 29 students whose mean is greater than 6 miles
Both equally likely
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