Suppose you are a market analyst for a company that produces headphones, and want to determine if customers value different prototype designs differently on average. You are provided 8 different prototype models of the latest headset, and are able to sample 16 people per prototype and ask them to provide their rating based on a particular scale. Research yields a SSTotal of 96473, along with a sum of square error (SSE) of 83662. Using this information, conduct a one-way ANOVA test to determine if there is any difference between the average values consumers place on the different headphone designs, using a significance level of 1%. Select the correct statements regarding your analysis. When necessary, round your answers to two decimal places. Select all choices that apply. The critical value of this analysis is 2.79. The F-statistic of this analysis is equal to 2.96. The null hypothesis of this test cannot be rejected, as the F-statistic is smaller than the critical value. At least one of the prototypes provides significantly more or less value to consumers, as the F statistic is greater than the critical val At least one of the prototypes provides significantly less value to consumers, as the F statistic is less than the critical value. The MSE of this analysis is equal to 697.18. The MST of this analysis is equal to 1617.19.
Suppose you are a market analyst for a company that produces headphones, and want to determine if customers value different prototype designs differently on average. You are provided 8 different prototype models of the latest headset, and are able to sample 16 people per prototype and ask them to provide their rating based on a particular scale. Research yields a SSTotal of 96473, along with a sum of square error (SSE) of 83662. Using this information, conduct a one-way ANOVA test to determine if there is any difference between the average values consumers place on the different headphone designs, using a significance level of 1%. Select the correct statements regarding your analysis. When necessary, round your answers to two decimal places. Select all choices that apply. The critical value of this analysis is 2.79. The F-statistic of this analysis is equal to 2.96. The null hypothesis of this test cannot be rejected, as the F-statistic is smaller than the critical value. At least one of the prototypes provides significantly more or less value to consumers, as the F statistic is greater than the critical val At least one of the prototypes provides significantly less value to consumers, as the F statistic is less than the critical value. The MSE of this analysis is equal to 697.18. The MST of this analysis is equal to 1617.19.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 34PPS
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Transcribed Image Text:Suppose you are a market analyst for a company that produces headphones, and
want to determine if customers value different prototype designs differently on
average. You are provided 8 different prototype models of the latest headset, and are
able to sample 16 people per prototype and ask them to provide their rating based
on a particular scale. Research yields a SSTotal of 96473, along with a sum of square
error (SSE) of 83662. Using this information, conduct a one-way ANOVA test to
determine if there is any difference between the average values consumers place on
the different headphone designs, using a significance level of 1%. Select the correct
statements regarding your analysis. When necessary, round your answers to two
decimal places. Select all choices that apply.
The critical value of this analysis is 2.79.
The F-statistic of this analysis is equal to 2.96.
The null hypothesis of this test cannot be rejected, as the F-statistic is smaller
than the critical value.
At least one of the prototypes provides significantly more or less value to
consumers, as the F statistic is greater than the critical value.
At least one of the prototypes provides significantly less value to consumers, as
the F statistic is less than the critical value.
The MSE of this analysis is equal to 697.18.
The MST of this analysis is equal to 1617.19.
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