A professor wanted to determine whether an online homework system improved scores on a final exam. In the fall​ semester, he taught a class using the online homework system​ (which meant students did their homework online and received instant feedback about their answers along with helpful​ guidance). In the spring​ semester, he taught a class without the homework system​ (which meant students were responsible for doing their homework the​ old-fashioned way – paper and​ pencil). The professor made sure to teach the two courses identically​ (same text,​ syllabus, tests, meeting​ time, meeting​ location, and so​ on). The table summarizes the results of the two classes on their final exam. Did the students perform better on the final exam in the fall​ semester? Use an (alpha) α equals=0.05 level of significance. State the null and alternative hypotheses.  H0: mu fall = mu spring , H1: mu fall > mu spring (I knew this)   Fall semester Spring Semester Number of students 29 25 Mean final exam score 75.6 66.4 Standard deviation final exam score 10.7 13

Question

A professor wanted to determine whether an online homework system improved scores on a final exam. In the fall​ semester, he taught a class using the online homework system​ (which meant students did their homework online and received instant feedback about their answers along with helpful​ guidance). In the spring​ semester, he taught a class without the homework system​ (which meant students were responsible for doing their homework the​ old-fashioned way – paper and​ pencil). The professor made sure to teach the two courses identically​ (same text,​ syllabus, tests, meeting​ time, meeting​ location, and so​ on). The table summarizes the results of the two classes on their final exam.

Did the students perform better on the final exam in the fall​ semester? Use an (alpha) α equals=0.05 level of significance. State the null and alternative hypotheses.  H0: mu fall = mu spring , H1: mu fall > mu spring (I knew this)

  Fall semester Spring Semester
Number of students 29 25
Mean final exam score 75.6 66.4
Standard deviation final exam score 10.7 13

Determine the P-Value for this hypothesis test.

P-Value = ???          (Round to three decimal places as needed.

Choose the correct conclusion.

A. Reject Upper H0. There is not sufficient evidence that the online homework is effective in raising final exam scores.
B. Reject Upper H0. There is sufficient evidence that the online homework is effective in raising final exam scores.
C. Do not reject Upper H0. There is sufficient evidence that the online homework is effective in raising final exam scores.
D. Do not reject Upper H0. There is not sufficient evidence that the online homework is effective in raising final exam scores

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