The dependent variable is the number of times a student attends the statistics l
ID: 3009342 • Letter: T
Question
The dependent variable is the number of times a student attends the statistics lab during one academic term. The independent variable is the attractiveness of the lab instructor, with 1 for unattractive (ouch), 2 for slightly attractive, 3 for moderately attractive, and 4 for very attractive. The researcher is exploring whether the attractiveness of the instructor influences student attendance at the statistics lab. Students were randomly assigned to different groups at the start of the term. There were 9 students in each group, and students could attend a maximum of 24 lab sessions.
Group Number of Stats Lab Attended
Use SPSS to conduct a one-factor ANOVA to determine if the group means are equal using =0.05. Complete the ANOVA summary table. Report the P-value accurate to 4 decimal places; use 3 decimal places for all other values.
1 22 1 15 1 12 1 12 1 11 1 14 1 15 1 7 1 15 2 17 2 13 2 14 2 19 2 12 2 19 2 13 2 21 2 20 3 12 3 12 3 23 3 15 3 11 3 19 3 19 3 16 3 22 4 16 4 24 4 24 4 21 4 17 4 20 4 23 4 22 4 10Explanation / Answer
H0: All four means are equal
Ha: atleast two are not equal
(Two tailed anova test)
alpha = 0.05
p value = 0.0400
Conclusion: As p <alpha, reject null hypothesis.
Group I II III IV 22 17 12 16 15 13 12 24 12 14 23 24 12 19 15 21 11 12 11 17 14 19 19 20 15 13 19 23 7 21 16 22 15 20 22 10 Total 123 148 149 177 Total N 9 9 9 9 36 Mean 13.66667 16.44444 16.55556 19.66667 16.5833 std dev 4.062019 3.468109 4.447221 4.609772 4.5316 Std error 1.354006 1.156036 1.482407 1.536591 0.7553