A researcher administers a treatment to a sample of participants selected from a population with µ = 80.If the researcher obtains a sample mean of M = 88,which combination of factors is most likely to result in rejecting the null hypothesis?
A)σ = 5 and n = 25
B)σ = 5 and n = 50
C)σ = 10 and n = 25
D)σ = 10 and n = 50

Question

Quizplus · Accepted Answer

The larger sample size (n = 50) reduces the standard error of the mean and increases the power to detect significant differences from the population mean. The smaller population standard deviation (σ = 5) also helps to increase power. Therefore, option B (σ = 5 and n = 50) is most likely to result in rejecting the null hypothesis.

A Researcher Administers a Treatment to a Sample of Participants