Please show me how you came to the conclusion you have, please show your work, it would be greatly appreciated. Thank you.

At NC A&T, the ACT scores of entering students have had a mean of 20 (for the critical reading and mathematics portions). Each year a sample of applications is taken to see whether the examination scores are at the same level as in previous years. A sample of 80 students in this year's class had a sample mean score of 21 and a standard deviation of 3.

Test the hypothesis that this year's class is greater than the classes before with a significance level of 0.01.

Find the correct p-value for the problem

0.0014 0.0089 0.0038 0.9997

Question 34

Using the previous problem, select the correct interpretation

• We do not have sufficient statistical evidence to reject the claim that the entering NC A&T students have a mean ACT equal to that of the year prior.
• We have enough statistical evidence to fail to reject the claim that the entering NC A&T students have a mean ACT equal to that of the year prior
• The entering NC A&T students are all better than the year before.
• We have sufficient statistical evidence to reject the claim that the entering NC A&T students have a mean ACT equal to that of the prior.