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ANOVA: Hypothesis tests and the ANOVA table
A manager at LLD Records is investigating the company's market research techniques. She learns that much of the market research of college students is done during promotions on college campuses. Other market research of college students, though, is done through anonymous mail, phone, internet, and record store questionnaires. In all cases, for each new CD that LLD Records releases, the company solicits an "intent-to-purchase" score from the student, with being the lowest score ("no intent to purchase") and being the highest score ("full intent to purchase").
The manager finds the following information for intent-to-purchase scores for a soon-to-be-released CD:
Groups Sample Size Sample Mean Sample Variance
On campus 28 70.7 73.9
By mail 28 65.3 99.0
By phone 28 63.9 111.1
By Internet 28 64.8 103.6
In a store 28 66.1 74.2
Based on this information, we can perform a one-way, independent-samples ANOVA test to examine the likelihood that the population mean intent-to-purchase scores for the CD are the same for these different collection methods. Such an ANOVA is summarized in the incomplete ANOVA table below. Fill in the missing cells of the table, and then answer the questions. (In the table, round your answers for the mean squares to at least one decimal place each, and round your answer for the F statistic to at least two decimal places.)
Source of Variation Degrees of Freedom Sum of Squares Mean Square F statistic
Treatments (Between groups) 792.7
Error (Within groups) 12468.6
What is the p-value corresponding to the F statistic for the ANOVA test? Round answer to at least 3 places.
The solution provides step by step method for the calculation of ANOVA test . Formula for the calculation and Interpretations of the results are also included.