Question
A researcher hypothesizes that the regions in the US feel differently about Hip Hop Music. To test this claim, she took a random sample of
A researcher hypothesizes that the regions in the US feel differently about Hip Hop Music. To test this claim, she took a random sample of 15 people (n = 15, N = 75) from each of 5 US regions (G = 5), and she asked each person in that sample to rate (from 1 to 16) how much they liked Hip Hop. The following ANOVA table has some of her results. Please help her answer her research questions by completing the following ANOVA table below and answering the follow-up questions. Be sure to label your answers with the appropriate letter.
Source | Sums of Squares | DF | Mean Square | F |
Effect (between) | a) | b) | e) | g) |
Error (within) | 100.71 | c) | f) | - |
Total | 156.25 | d) | - | - |
h) Based on the observed F-statistic ( = 0.05) and a critical F = 2.47, should she retain or reject the null hypothesis?
i) In everyday language, what can she conclude about the research question?
j) Suppose that the average love of Hip Hop in the West was 11.56 and the average love in the Mid-west was 9.97. Calculate and report (including the degrees of freedom) a follow-up t-test using an (alpha) = 0.05 and a critical t = 1.99.
k) In everyday language, what can she conclude about how people in the West and Mid-west feel about Hip Hop?
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