We want to know if the average rating of attractiveness (1=homely, 5=stunning) of a typical person differs depending on the state they are located in. We believe that there will be significant differences in the average attractiveness of the people at each of the four states we examine. 1) Report (in words or statistical notation), our null and alternative hypothesis: Provided are the data we collected from four different states: OR, WA, ID, and CA (see below): OR WA ID CA X bar 3.01 3.07 2.88 3.7 SD 0.42 0.60 0.46 0.30 n 10 10 10 9 SS 92.19 97.47 84.84 123.95 2) Given that we have more than two samples, we need to conduct a one-way ANOVA. Conduct the test in order to calculate the F-statistic addressing our hypothesis. Be sure to calculate the grand mean and the between-groups & within-groups mean-squares first (also don’t forget to round to 2 decimal places and report the formulas!!): 3.) Calculate the degrees of freedom (df) for this test. Given that we are setting α = .05, what is the critical value for the Fdistribution given our data set and hypothesis
We want to know if the average rating of attractiveness (1=homely, 5=stunning) of a typical person differs depending on the state they are located in. We believe that there will be significant differences in the average attractiveness of the people at each of the four states we examine.
1) Report (in words or statistical notation), our null and alternative hypothesis:
Provided are the data we collected from four different states: OR, WA, ID, and CA (see below):
|
OR |
WA |
ID |
CA |
X bar |
3.01 |
3.07 |
2.88 |
3.7 |
SD |
0.42 |
0.60 |
0.46 |
0.30 |
n |
10 |
10 |
10 |
9 |
SS |
92.19 |
97.47 |
84.84 |
123.95 |
2) Given that we have more than two samples, we need to conduct a one-way ANOVA. Conduct the test in order to calculate the F-statistic addressing our hypothesis. Be sure to calculate the grand
3.) Calculate the degrees of freedom (df) for this test. Given that we are setting α = .05, what is the critical value for the Fdistribution given our data set and hypothesis
4.) In words, interpret what the significance testing tells us about whether or not the samples differ on our variable of interest (describe the variable). Also, report the results in APA format:
5.)Do you believe the F-statistic a good representation of whether or not we truly had differences between groups in this specific data set? Why or why not?
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