Descriptives
Hypothetical exam scores (out of 100)
N Mean Std. Deviation Std. Error 95% Confidence Interval for Mean Minimum Maximum
Lower Bound Upper Bound
freshman 9 85.11 8.100 2.700 78.88 91.34 73 94
sophomore 26 87.23 8.701 1.706 83.72 90.75 70 100
junior 26 84.15 6.745 1.323 81.43 86.88 70 97
senior 18 84.39 7.334 1.729 80.74 88.04 69 94
other 1 94.00 . . . . 94 94
Total 80 85.44 7.705 .861 83.72 87.15 69 100
Test of Homogeneity of Variances
Levene Statistic df1 df2 Sig.
Hypothetical exam scores (out of 100) Based on Mean 1.110 3 75 .350
Based on Median .916 3 75 .437
Based on Median and with adjusted df .916 3 74.015 .437
Based on trimmed mean 1.077 3 75 .364
ANOVA
Hypothetical exam scores (out of 100)
Sum of Squares df Mean Square F Sig.
Between Groups 220.521 4 55.130 .925 .454
Within Groups 4469.167 75 59.589
Total 4689.688 79
Based on the above information
Which of the following is the null hypothesis? Highlight or circle your answer. [.5 points]
a) H0: µ1 = µ2 = µ3
b) H1: µ1 = µ2 = µ3
c) H0: µ1 ≠ µ2 ≠ µ3
d) H1: µ1 ≠ µ2 ≠ µ3
6b. Which of the following is the alternative, or research, hypothesis? Highlight or circle your answer. [.5 points]
a) H0: X1 = X2 = X3
b) H1: X1 = X2 = X3
c) H0: X1 ≠ X2 ≠ X3
d) H1: X1 ≠ X2 ≠ X3
. Interpret:
a. Did the SOC390 sections have significantly different exam scores, in general (yes or no)? What is our conclusion regarding the null hypothesis (reject or fail to reject the null)? [1 point]
b. Which output table from above gives you the information to answer 8a (keep in mind I am only asking if the means differed in general)? Highlight or circle your answer. [.5 point]
a) ‘Descriptives’
b) ‘Test of Homogeneity of Variances’
c) ‘ANOVA’
d) ‘Multiple Comparisons’
e) ‘Means Plots’.
c. Using the ‘Multiple Comparisons’ table from your output above, answer the following and include the appropriate p-value for each (Sig.) to let me know you are not just guessing!
9. Write up the results from this analysis using APA format. Make sure you include each group mean (and SD) exam score, the correct F stat with the correct degrees of freedom and p-value, decision regarding the null, and the follow-up comparisons (if necessary). Use the example in the SPSS ANOVA lecture to help guide you. [3 points]
6a) The null hypothesis is a) H0: µ1 = µ2 = µ3
6b) the alternative hypothesis is d) H1: X1 ≠ X2 ≠ X3