In: Statistics and Probability
Dr. John is studying differences in the effectiveness of three new medications for statsphobia. Statsphobia is the fear rating measure for psy221. He randomly assigns subjects to take one of the three medications (6 subjects per group). Below are the data. Is there a significant difference in statsphobia when comparing the three medications? Use α = .05.
Medication A Medication B Medication C
ΣX1 = 30 ΣX2 = 9 ΣX3 = 6
ΣX21 = 154 ΣX22 = 23 ΣX23 = 18
a) State the null and alternative hypotheses in words. (2 point)
Q20: Null
Q21: Alternative
b) Set up the criteria for making a decision. That is, find the critical value(s).
(1 point)
Q22: Critical value in proper format
c) Calculate the appropriate test statistic and complete the table below.
Show your work! (7 points)
Q23: df-Group
Q24: df-Error
Q25: df Total
Q26: SS-Group
Q27: SS-Error
Q28: SS-Total
Q29: MS-Group; MS-Error; F-obtained
Source |
SS |
df |
MS |
F |
||||
Between (group) |
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Within (error) |
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Total |
d) Evaluate the Null: (circle one): REJECT FAIL TO REJECT (1 point)
Q30: Evaluate:
e) Interpret your results in words. (What conclusion can you draw) (1 point)
Q31: Conclude in words
f) Calculate the magnitude of effect using eta-squared.
(1 point)
Q32: eta-squared equals
g) Interpret your results from the last question (f) specific to the study in problem #4. (1 point)
Q33: Interpret in words