Suppose you are a manager for a local clothing store. You want to introduce a new product for an upcoming holiday. You design 8 new products, and take a sample of 16 customers per product design, to determine if any of the products provide a different value to consumers through a rating system. Your one-way ANOVA test reveals a SSTotal of 8762, along with a sum of squares between treatments (SST) of 1204. Using this information, conduct the appropriate one-way ANOVA test, with a significance level of 1%, to determine if any of the products provide a significantly different value to consumers (significantly different average rating). What is the correct result of your analysis? We cannot say that there is a significant difference in value to consumers between the products on average, since the F-statistic of the analysis is smaller than the critical value. We cannot say that there is a significant difference in value to consumers between the products on average, since the F-statistic of the analysis is greater than the critical value. At least one of the products provides significantly different value to consumers on average, since the F-statistic of the analysis is smaller than the critical value.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Suppose you are a manager for a local clothing store. You want to introduce a new
product for an upcoming holiday. You design 8 new products, and take a sample of
16 customers per product design, to determine if any of the products provide a
different value to consumers through a rating system. Your one-way ANOVA test
reveals a SSTotal of 8762, along with a sum of squares between treatments (SST) of
1204. Using this information, conduct the appropriate one-way ANOVA test, with a
significance level of 1%, to determine if any of the products provide a significantly
different value to consumers (significantly different average rating). What is the
correct result of your analysis?
We cannot say that there is a significant difference in value to consumers
between the products on average, since the F-statistic of the analysis is smaller
than the critical value.
We cannot say that there is a significant difference in value to consumers
between the products on average, since the F-statistic of the analysis is greater
than the critical value.
At least one of the products provides significantly different value to consumers
on average, since the F-statistic of the analysis is smaller than the critical value.
At least one of the products provides significantly different value to consumers
on average, since the F-statistic of the analysis is greater than the critical value.
Transcribed Image Text:Suppose you are a manager for a local clothing store. You want to introduce a new product for an upcoming holiday. You design 8 new products, and take a sample of 16 customers per product design, to determine if any of the products provide a different value to consumers through a rating system. Your one-way ANOVA test reveals a SSTotal of 8762, along with a sum of squares between treatments (SST) of 1204. Using this information, conduct the appropriate one-way ANOVA test, with a significance level of 1%, to determine if any of the products provide a significantly different value to consumers (significantly different average rating). What is the correct result of your analysis? We cannot say that there is a significant difference in value to consumers between the products on average, since the F-statistic of the analysis is smaller than the critical value. We cannot say that there is a significant difference in value to consumers between the products on average, since the F-statistic of the analysis is greater than the critical value. At least one of the products provides significantly different value to consumers on average, since the F-statistic of the analysis is smaller than the critical value. At least one of the products provides significantly different value to consumers on average, since the F-statistic of the analysis is greater than the critical value.
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