In: Math
6. For accreditation purposes, we are concerned about the general knowledge of UIW students about American Economy. An exam was completed by 5 freshman students per area of degree choice in a total of 60 students. The scores are below: | |||||||||||
Accounting | Finance | General Business | Information Systems | Marketing | Social Marketing | Management | Project Management | Criminal Justice | Health Science | Leadership Studies | Psychology |
55 | 49 | 68 | 99 | 93 | 43 | 84 | 41 | 79 | 95 | 79 | 51 |
43 | 73 | 75 | 59 | 96 | 62 | 83 | 82 | 49 | 98 | 42 | 65 |
68 | 91 | 54 | 61 | 46 | 55 | 89 | 83 | 82 | 97 | 50 | 77 |
91 | 61 | 97 | 94 | 68 | 51 | 79 | 58 | 40 | 83 | 58 | 45 |
92 | 74 | 72 | 69 | 61 | 58 | 70 | 49 | 87 | 79 | 87 | 57 |
a. What is the average grade for Social Marketing? | |||||||||||
b. What is the Sum of Squares Factor? | |||||||||||
c. What is the Sum of Squares Error? | |||||||||||
d. What is the df for the numerator? | |||||||||||
e. What is the df for the denominator? | |||||||||||
f. What is the Mean Square Factor? | |||||||||||
g. What is the Mean Square Error? | |||||||||||
h. What is the F statistic? | |||||||||||
i. What is the p-value? | |||||||||||
j. At 1% significance level, would you reject or accept an hypothesis based on the alpha and pvalue and why? | |||||||||||
It is the case of one-way analysis of variance (ANOVA) is conducted when we want to compare the population means of three or more than three independent groups to test whether they are coming from the same population or not.