Have a final on this tomorrow please help

Question

Bob And Sue independently use t-tests to test the hypothesis that the mean heart rate of mice in the lab is not equal to 500 bpm. Add a 95% level of confidence Bob rejects the hypothesis while Sue fails to reject it. Which of the following statements must be true?

A) Sue and Bob obtain different sample standard deviation

B) sue and Bob obtain different sample means

C) Sue and Bob obtain different P values

D) do you and Bob use different sample sizes

show all work please

Answer 1

Your t-test is t= (M-mu)/(s/(1/n)). This looks scary because a lot of the symbols here don't translate on a normal keyboard. This means that your t = (sample mean - population mean) divided by your standard error which is ALSO divided by square root of n. They're both using the same measure of p<.05 reject the hypothesis and p>.05 retain the hypothesis. Your null hypothesis here is that mu (population average) =/= 500bpm. Because the only criteria for retaining or rejecting a hypothesis is the p-value you get, the only thing that must be true is that their end-result or p-value is different because all other information could be changed and still get the same result in the end. I'm not sure why it's asking for you to show your work, but the correct answer is C. I hope that helped!