You conduct a zscore analysis hypothesis test comparing the

You conduct a z-score analysis (hypothesis test) comparing the mean sample (M=22.25) to a mean population (M=42). Your test statistics shows: z(129)=-16.75,p<.01.

A. What do you conclude from these statistics?

B. If the z-score was -1.15, instead of -16.75 what would you conclude instead?

C. And what must have happened to the standard error for the z-score to be -1.15 instead of -16.75

Solution

Answer:

A)

If you put function Normsdist(-16.75) in excel you will get p-value for z=16.75 is 0.000

So P-value=0.0000 which is less than 0.01 so we rejact the null hypothesis.

B)

If you put function Normsdist(-1.15) in excel you will get p-value for z=16.75 is 0.1251

So P-value=0.1251 which is greater than 0.01 so we do not reject the null hypothesis.