A variable of a population has a mean of μ=150 and a standard deviation of σ=42. a. The sampling distribution of the sample mean for samples of size 49 is approximately normally distributed with mean: 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?
A variable of a population has a mean of μ=150 and a standard deviation of σ=42.
a. The sampling distribution of the sample mean for samples of size 49 is approximately
mean:
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
A. 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.
B. No, the sampling distribution of the sample mean is never normal for sample size less than 30.
C. Yes, the sampling distribution of the sample mean is always normal.
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