A study about the college aptitude of seniors at North City High School has resulted in a sample mean with a corresponding z-score of $\pm$2.00.If the critical value for the region of rejection is ,what is the correct conclusion?
A)Since the z-value falls within the region of rejection,we should conclude this sample mean likely represents some other population.
B)Since the z-value does not fall within the region of rejection,we should not conclude this sample mean represents some other population.
C)Since the z-value falls within the region of rejection,we should not conclude this sample mean represents some other population.
D)Since the z-value does not fall within the region of rejection,we should conclude this sample mean likely represents some other population.

Question

A study about the college aptitude of seniors at North City High School has resulted in a sample mean with a corresponding z-score of $\pm$2.00.If the critical value for the region of rejection is  ,what is the correct conclusion?
A)Since the z-value falls within the region of rejection,we should conclude this sample mean likely represents some other population. 
B)Since the z-value does not fall within the region of rejection,we should not conclude this sample mean represents some other population. 
C)Since the z-value falls within the region of rejection,we should not conclude this sample mean represents some other population. 
D)Since the z-value does not fall within the region of rejection,we should conclude this sample mean likely represents some other population.

Quizplus · Accepted Answer

The z-value falls within the region of rejection, which means it is unlikely to have occurred by chance alone. Therefore, the null hypothesis (that the sample comes from the same population as the broader population) should be rejected. Thus, we should conclude that this sample mean likely represents some other population.

A Study About the College Aptitude of Seniors at North ±\pm±

A Study About the College Aptitude of Seniors at North $\pm$