Suppose you have a random sample of employees in your company and their tenure. The sample mean of this sample is 4.2 years and the sample standard deviation is 4.5 years. How would knowing that the random sample was of size 100 instead of 60 change the p-value of the hypothesis test?
A) The p-value will be larger for 100 than 60.
B) The p-value will be smaller for 100 than 60.
C) The p-value will be biased for 60.
D) The p-value will be biased for 100.

Question

Quizplus · Accepted Answer

Increasing the sample size from 60 to 100 decreases the standard error of the mean, leading to a tighter confidence interval around the sample mean. This generally results in a smaller p-value if the null hypothesis is being tested against an alternative, assuming the mean difference remains constant.

Suppose You Have a Random Sample of Employees in Your