Which is not a likely reason to choose the z distribution for a hypothesis test of a mean?
A)The value of σ is known.
B)The sample size n is very large.
C)The population is normal.
D)The value of σ is very large.

Question

Quizplus · Accepted Answer

If the value of σ is very large, it indicates that the population variability is large, and in such cases, the t-distribution is a better choice. The z-distribution assumes that the population standard deviation is known, and in real-life scenarios, the population standard deviation is usually estimated using the sample standard deviation when calculating the test statistic. Hence, option D is not a likely reason to choose the z-distribution. The other three options, A, B, and C, are likely reasons to choose the z-distribution.

Which Is Not a Likely Reason to Choose the Z