One group of 50 students took a distance learning class, while another group of 25 took the same course in a traditional face-to-face classroom. Both group were given the same mid-term test. The average score of the distance learning group was 54.6 with a standard deviation of 12.4. The average score for the group who took the course in the traditional format was 60.6 with a standard deviation of 14.5. At a significance level of 0.1, can it be concluded that there is a difference in average score of students between the distance learning and face-to face instruction formats?
Determine which of the following formulations of the hypotheses is appropriate and enter the corresponding number in the answer text box.
Note: Index "v" refers to the population of students taking distance learning classes (virtual mode) and index "f" refers to the population of students taking face-to-face classes (traditional mode).
For example if you believe formulation number 4 below is the most appropriate formulation for this problem then enter "4" in the answer text box.
H0: μv – μf = 0 Ha: μv – μf ≠ 0
H0: v – f = 0 Ha: v – f ≠ 0
H0: v – f = 0 Ha: v – f ≠ 0
H0: Pv – Pf = 0 Ha: Pv – Pf ≠ 0
H0: μd = 0 Ha: μd ≠ 0 the difference is computed as: distance learning average score – face-to-face average score
H0: d = 0 Ha: d ≠ 0the difference is computed as: distance learning average score – face-to-face average score
Your answer is:
For part b. of this problem enter the absolute value of your answer in the response text box. Do not include the plus or minus sign with your answer. Enter the answer in x.xxx format. That is, first round your answer to three decimals and then use leading and trailing zeros to exactly match the format. For example, if your answer is 6.1525 round it to three decimals and enter it as 6.153. If your answer is -0.2 then enter it as 0.200 in the answer box and do not include the minus sign.
What is the value of the test statistics? Enter the answer in x.xxx format per instructions for part b.
Your answer is:
What is the P-value? Enter the answer in x.xxx format per instructions for part b.
Your answer is:
What is your decision?
Enter "R" if your decision is to reject the null hypotheses. Enter "F" if the decision is do not/fail to reject the null hypotheses.
Your answer (R/F) is:
Using a significance level of 0.1, which of the followings is/are an appropriate/correct statement regarding the difference in students score under the two different instructional modes.
Enter "A" if the statement is appropriate/correct and enter "N" if the statement is not appropriate/correct.
The data supports that the students’ average score is different between the two instructional formats. Your answer(A/N) is:
The data does not support that the students’ average score is different between the two instructional formats. Your answer (A/N) is:
The data supports that the student’s average score is higher under face-to-face format than the distance learning. Your answer (A/N) is: