u= 100 and a standard deviation of o = a. The sampling distribution of the sample mean for samples of size 49 is approximately normally distributed with mean and standard deviation b. For part (a) to be true, what assumption did you make about the distribution of the variable under consideration? A. Normal distribution. 49. B. Uniform distribution. OC. No assumption was made. c. Is the statement in part (a) still true if the sample size is 16 instead of 49? Why or why not? OA. No, the sampling distribution of the sample mean is never normal for sample size less than 30. B. Yes, the sampling distribution of the sample mean is always normal.

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A variable of a population has a mean of
49.
μ = 100 and a standard deviation of o
a. The sampling distribution of the sample mean
for samples of size 49 is approximately normally
distributed with mean
and standard
deviation
b. For part (a) to be true, what assumption did you
make about the distribution of the variable under
consideration?
A. Normal distribution.
B. Uniform distribution.
C. No assumption was made.
c. Is the statement in part (a) still true if the sample
size is 16 instead of 49? Why or why not?
OA. No, the sampling distribution of the sample
mean is never normal for sample size less than
30.
OB. Yes, the sampling distribution of the sample
mean is always normal.
C. No. Because the distribution of the variable
under consideration is not specified, a sample
size of at least 30 is needed for part (a) to be
true.
Transcribed Image Text:A variable of a population has a mean of 49. μ = 100 and a standard deviation of o a. The sampling distribution of the sample mean for samples of size 49 is approximately normally distributed with mean and standard deviation b. For part (a) to be true, what assumption did you make about the distribution of the variable under consideration? A. Normal distribution. B. Uniform distribution. C. No assumption was made. c. Is the statement in part (a) still true if the sample size is 16 instead of 49? Why or why not? OA. No, the sampling distribution of the sample mean is never normal for sample size less than 30. OB. Yes, the sampling distribution of the sample mean is always normal. C. No. Because the distribution of the variable under consideration is not specified, a sample size of at least 30 is needed for part (a) to be true.
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