? canvas.uccs.edu Question 7 1 pts Problem 2: A statistician wishes to determine

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? canvas.uccs.edu Question 7 1 pts Problem 2: A statistician wishes to determine whether drinking coffee improves one's mood. The statistician hangs out at the Cafe Coffay and asks customers to fill out a 10-point good-mood bad- mood questionnaire (where 10 - great mood and 1 - bad mood) before and after their first cup dt coffee that day. The research question is whether there is any evidence that drinking coffee improves mood. Pairs of scores represent before mood rating and after mood rating. Participant 1 (5, 9) Participant 2 (3, 8) Participant 3 (9, 9) Participant 4 (3, 8) Participant 5 (2, 7) Participant 6 (4, 9) Participant 7 (1, 10) Participant 8 (8, 8) Participant 9 (6, 5) Participant 10 (7, 7) Participant 11 (4, 3) Participant 12 (3, 10) Participant 13 (8, 7) Participant 14 (7,9) Participant 15 (5, 9) The value of the numerator in the dependent t test formula for Problem 2 is approximately 0.08 2.87 O5.00 7.87

Explanation / Answer

The statistical software output for this problem is:

Paired T hypothesis test:
?D = ?1 - ?2 : Mean of the difference between After and Before
H0 : ?D = 0
HA : ?D ? 0
Hypothesis test results:

Hence,

Answer - 7: Numerator = 2.87

Answer - 8: Df = 14

Answer - 9: Derive t value = 3.44

Answer - 10: Critical value = 2.145

Answer - 11: Reject the null hypothesis

Answer - 12: Option C is correct.

Answer - 13: p < 0.05

Difference Mean Std. Err. DF T-Stat P-value After - Before 2.8666667 0.83304757 14 3.44118 0.004

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