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Sampling Distribution of Sample Means

Authored by Anthony Clark

Mathematics

12th Grade

Used 2+ times

Sampling Distribution of Sample Means
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12 questions

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1.

FILL IN THE BLANK QUESTION

1 min • 1 pt

Consider a population which is normally distributed. If σ²=9 and n=16, what is the variance of the sampling distribution of sample means? (Do not round off)

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Consider a population which is normally distributed. If\sigma=2 and n=9 , what is the standard deviation of the sampling distribution of sample means?

0.67

0.22

0.44

1.33

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Cellular phone bills for residents of a city have a mean of P1,000 and a standard deviation of P170. Random samples of 100 cellular phone bills are drawn from this population and the mean of each sample is determined. Find the mean of the sampling distribution of sample means.

1000

170

100

17

4.

FILL IN THE BLANK QUESTION

1 min • 1 pt

Cellular phone bills for residents of a city have a mean of P1,000 and a standard deviation of P170. Random samples of 100 cellular phone bills are drawn from this population and the mean of each sample is determined. Find the standard deviation of the sampling distribution of the sample means.

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Suppose the training heart rates of all 20-year old athletes are normally distributed, with a mean of 135 beats per minute and standard deviation of 18 beats per minute. Random samples of size 4 are drawn from this population, and the mean of each sample is determined. Find the mean of the sampling distribution of sample means

135

18

4

20

6.

FILL IN THE BLANK QUESTION

1 min • 1 pt

Suppose the training heart rates of all 20-year old athletes are normally distributed, with a mean of 135 beats per minute and standard deviation of 18 beats per minute. Random samples of size 4 are drawn from this population, and the mean of each sample is determined. Find the variance of the sampling distribution of sample means

7.

MULTIPLE CHOICE QUESTION

1 min • 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

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