Could the following sample reasonably have been drawn from a normal population with a mean of 20 and standard deviation of 1.5 using a = 0.01 2 tail ? X : 21, 21, 21, 20, 22, 20, 22?
A) yes
B) no
C) cannot be tested with z test
D) The correct answer cannot be determined from the information provided.

Question

Quizplus · Accepted Answer

The sample mean is close to the population mean of 20, and the sample standard deviation is likely close to 1.5. Given the small sample size and the closeness of the sample mean to the population mean, it's reasonable to assume this sample could have been drawn from the specified normal population, even with a strict alpha level of 0.01 in a two-tailed test.

Could the Following Sample Reasonably Have Been Drawn from a Normal