[R]At a large university, a sample of 52 evening students was selected in order to determine whether the average age of the evening students is significantly different from 21. The average age of the students in the sample was 21.48 years. The sample standard deviation was 1.3 years. Determine whether or not the average age of the evening students is significantly different from 21. Use a 0.01 level of significance. Choosethe t-statistic and the appropriate conclusion.

a. t = 2.2876 ; rejectthenullhypothesis

b. t = 2.6626 ; failtorejectthenullhypothesis

c. t = 2.2876 ; failtorejectthenullhypothesis

d. t = 2.6626 ; rejectthenullhypothesis