A sample of n = 25 individuals is selected from a population with µ = 80 and a treatment is administered to the sample.What is expected if the treatment has no effect?
A)The sample mean should be very different from 80 and should lead you to reject the null hypothesis.
B)The sample mean should be very different from 80 and should lead you to fail to reject the null hypothesis.
C)The sample mean should be close to 80 and should lead you to reject the null hypothesis.
D)The sample mean should be close 80 and should lead you to fail to reject the null hypothesis.

Question

A sample of n = 25 individuals is selected from a population with µ = 80 and a treatment is administered to the sample.What is expected if the treatment has no effect?​
A)​The sample mean should be very different from 80 and should lead you to reject the null hypothesis.
B)​The sample mean should be very different from 80 and should lead you to fail to reject the null hypothesis.
C)​The sample mean should be close to 80 and should lead you to reject the null hypothesis.
D)​The sample mean should be close 80 and should lead you to fail to reject the null hypothesis.

Quizplus · Accepted Answer

If the treatment has no effect, we would expect the sample mean to be close to the population mean of 80. Therefore, the best choice is D, which states that the sample mean should be close to 80 and should lead you to fail to reject the null hypothesis (which assumes the treatment has no effect). If the sample mean is very different from 80, it would suggest that the treatment has an effect and would lead to rejecting the null hypothesis.

A Sample of N = 25 Individuals Is Selected from a Population