Question

For a given population standard deviation, how does the standard error of the sampling distribution of the sample mean (or the standard deviation of the sample mean distribution) change if the sample size is increased from 50 to 500? A. It increases. B. It decreases. C. It stays the same. D. All of the above are possible. 2. How does the mean of the sampling distribution of the sample mean (or the mean of the sample means) change if the sample size is increased from 50 to 500? A. It increases. B. It decreases. C. It stays the same. D. There is not enough information given to answer the question. 3. If X is normally distributed with a population mean of 123 and a population standard deviation of 12, the sampling distribution of the sample mean can be assumed to be normal for which sample size? A. n=23. B. n=30. C. n=50. D. All of the above. 4. Suppose the random variable X has a known population mean µ equal to 100 and a known population standard deviation σ equal to 15, and a simple random sample of size 64 is taken. The sampling distribution of the sample mean has mean equal to: a. Mean = 100/64 = 1.5625. b. Mean = 100/8 = 12.5. c. Mean = 100/15 = 6.67. d. Mean = 100.

          For a given population standard deviation, how does the standard error of the sampling distribution of the sample mean (or the standard deviation of the sample mean distribution) change if the sample size is increased from 50 to 500?
A. It increases.
B. It decreases.
C. It stays the same.
D. All of the above are possible.

2. How does the mean of the sampling distribution of the sample mean (or the mean of the sample means) change if the sample size is increased from 50 to 500?
A. It increases.
B. It decreases.
C. It stays the same.
D. There is not enough information given to answer the question.

3. If X is normally distributed with a population mean of 123 and a population standard deviation of 12, the sampling distribution of the sample mean can be assumed to be normal for which sample size?
A. n=23.
B. n=30.
C. n=50.
D. All of the above.

4. Suppose the random variable X has a known population mean µ equal to 100 and a known population standard deviation σ equal to 15, and a simple random sample of size 64 is taken. The sampling distribution of the sample mean has mean equal to:
a. Mean = 100/64 = 1.5625.
b. Mean = 100/8 = 12.5.
c. Mean = 100/15 = 6.67.
d. Mean = 100.

Added by Miriam G.

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