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Jimmy Kimmel Live! on ABC, The Tonight Show Starring Jimmy Fallon on NBC, and The Late Show with Stephen Colbert on CBS are three popular late-night talk shows. The following table shows the number of viewers in millions for a 10 -week period during the spring for each of these shows (TV by the Numbers website).
At the .05 level of significance, test for a difference in the mean number of viewers per week for the three late-night talk shows.
Solution
VerifiedIn this item, we are to conduct a test to determine whether there is a difference in the mean number of viewers per week for the three shows.
To do so, we check for any significant difference in the mean number of viewers using Analysis of Variance (ANOVA), where we are told to use as our level of significance.
We are then given data for the mean weekly viewers for 10 weeks across the three shows. We will then consider the given data as a Randomized Block Design and try to remove the block effects.
Why do we consider the data as a Randomized Block Design and what variable do we consider as the blocks?
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