In: Statistics and Probability
Question 4
Standard Error of the Mean |
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Confidence Level |
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Sampling Distribution of Means |
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Confidence Interval |
Question 5
larger |
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smaller |
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more dispersed. |
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less dispersed. |
What does the central limits theorem tell us about the mean of the sampling distribution of means?
The mean of the sampling distribution of means is always equal to 0. |
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The mean of the sampling distribution of means is equal to the overall population mean. |
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The mean of the sampling distribution of means is equal to the overall population standard deviation. |
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The central limits theorem tells us nothing about the mean of the sampling distribution of means. |
Question 7
What does the central limits theorem tell about the standard deviation of the sampling distribution of means, or standard error?
The standard error is equal to the standard deviation of the overall population divided by the square root of the sample size. |
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The standard error is equal to either 1.97 or 2.57. |
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The standard error is equal to the sample mean times the sample size. |
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The central limits theorem tells us nothing about the standard deviation of the sampling distribution of means, or standard error. |
Question 7
What does the central limits theorem tell about the standard deviation of the sampling distribution of means, or standard error?
A. The standard error is equal to the standard deviation of the overall population divided by the square root of the sample size.
B. The standard error is equal to either 1.97 or 2.57.
C. The standard error is equal to the sample mean times the sample size.
D. The central limits theorem tells us nothing about the standard deviation of the sampling distribution of means, or standard error.
Question 8
Which of the following symbol labels is NOT correct?
A. σ Standard Deviation of the Population
B. s Standard Deviation of the Sample
C. n Sample Size
D. μ Mean of the Sample
Question 9
If the mean of a sample is 50 and the standard deviation of the sample is 15, what Z score corresponds to a raw score of 35?
a. +1.5
b. -1.5
c. +1.0
d. - 1.0
Question 10.
Use the interactive website to determine what percent of the cases in the variable distribution described in Question 9 (Mean = 50 SD = 15) fall below the raw score of 35.
a. .1586%
b. 15.86%
c. .7344%
d. 73.44%
Question 11
Given the variable distribution described in Question 9 (Mean = 50 SD = 15), what z score corresponds to a raw score of 65?
a. +1.5
b. +.5
c. +1.0
d.-1.0
4. The list of all means you would compute from all possible samples you could draw of a given size from a given population is called the:
The answer is : sampling distribution of means
5. The larger the sample size, the _______ the standard error of the mean.
The answer is : smaller, because we know that standard error is defined as /n , so, if we increase n, the standard error is smaller.
6. What does the central limits theorem tell us about the mean of the sampling distribution of means?
The answer is : The mean of the sampling distribution of means is equal to the overall population mean.
7. What does the central limits theorem tell about the standard deviation of the sampling distribution of means, or standard error?
The answer is : the standard error is equal to the standard deviation of the overall population divided by the square root of the sample size.
8. Which of the following symbol labels is NOT correct?
The answer is : μ Mean of the Sample , because we generally the population mean by μ and the sample mean by .
9. If the mean of a sample is 50 and the standard deviation of the sample is 15, what Z score corresponds to a raw score of 35?
We know that, z = (x - ) /
= (35 - 50)/15 = -1
The answer is : -1.0
10. Use the interactive website to determine what percent of the cases in the variable distribution described in Question 9 (Mean = 50 SD = 15) fall below the raw score of 35.
The answer is : 15.86%
11. Given the variable distribution described in Question 9 (Mean = 50 SD = 15), what z score corresponds to a raw score of 65?
We know that, z = (x - ) /
= (65 - 50)/15 = 1
The answer is : +1.0