When finding a confidence interval for a population mean based on a sample of si
ID: 3376263 • Letter: W
Question
When finding a confidence interval for a population mean based on a sample of size 8, which assumption is made?
The sample population is approximately normal.
The sampling distribution of z is normal.
Both populations have the same standard deviation.
There is no special assumption made.
4 points
QUESTION 22
The degrees of freedom used in a t distribution are equal to the sample size.
True
False
A.The sample population is approximately normal.
B.The sampling distribution of z is normal.
C.Both populations have the same standard deviation.
D.There is no special assumption made.
Explanation / Answer
When finding a confidence interval for a population mean based on a sample of size 8, we assume that the sample distribution as well as the population distribution are both normal and only then can we construct the interval. Hence correct option is A
Degree of freedom in t-distribution is not equal to sample size. It is always 1 less than sample size.
Degree of freedom = n - 1 always hence correct option is FALSE.
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