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A restaurant manager is considering changing the secret sauce on their hamburger

ID: 3180043 • Letter: A

Question

A restaurant manager is considering changing the secret sauce on their hamburgers. To decide which recipe to use. she recruits 15 customers and assigns 5 different customers to each of the 3 sauce groups (A, B, or C.). She then serves them a plain hamburger with the sauce for their group and asks them to rate their satisfaction with the taste of the sauce on a scale from 1 (disgusting) to 5 (delicious) to see if there is a significant (alpha = .05) difference in taste. Based on the data and results below, what is the decision and conclusion for this Analysis of Variance? ABC 1 3 3 2 4 5 1 2 4 3 1 3 2 2 5 Practice by placing your calculations in a table like this: 6.467 Reject the null hypothesis: results suggest there is a significant difference in taste among the three sauces 6.467 Reject the null hypothesis; results suggest there is not a significant difference in taste among the three sauces. 6.467 Fail to reject the null hypothesis: results suggest there is not a significant difference in taste among the three sauces. 1.078 Reject the null hypothesis; results suggest there is a significant difference in taste among the three sauces. 1.078 Reject the null hypothesis: results suggest there is not a significant difference in taste among the three sauces. 1.078 Fail to reject the null hypothesis; results suggest there is not a significant difference in taste among the three sauces.

Explanation / Answer

from above data running ANOVA on that

first option is correct

Anova: Single Factor SUMMARY Groups Count Sum Average Variance A 5 9 1.8 0.7 B 5 12 2.4 1.3 C 5 20 4 1 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 12.933 2 6.467 6.467 0.012 3.885 Within Groups 12 12 1 Total 24.933 14
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