A professor at a large community college wanted to determine whether there is a difference in the means of final exam scores between students who took his statistics course online and the students who took his face-to-face statistics class. He believed that the mean of final exam scores for the online class would be lower than that of the face-to-face class. Was the professor correct? The randomly selected 15 final exam scores from each group; the averages and standard deviation for each group are : 5 = 75,38,177 = 80.57, 31 = 14.24315, 32 = 10.87799 Which distribution do you use to perform the test and what is Pvalues? What is your conclusion if a = 0.05? O a. t-test and P-value =0.1358, do not reject H0 O b t-test and P-value =0.0018, reject H0 0 c. z-test and Pvalue =0.l358, do not reject H0 0 d. z-test and Pvalue =0.0018, reject H0