Starbucks is considering introducing two new coffee-based products. In order to decide on which product to selI, they construct a taste-testing experiment. In the experiment nine coffee experts tasted...


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Starbucks is considering introducing two new coffee-based products. In order to decide on which<br>product to selI, they construct a taste-testing experiment. In the experiment nine coffee experts<br>tasted and rated the two products based on a 7 point scale (1 = extremely unpleasing, 7 = extremely<br>pleasing) for each of four characteristics: taste, aroma, richness, and acidity. For confidentiality<br>purposes names of the products are given as A and B. The results of the taste testing experiment are<br>given in the table below.<br>Expert<br>A<br>В<br>C.C.<br>24<br>26<br>S.E.<br>27<br>27<br>E.G.<br>19<br>22<br>B.L.<br>24<br>27<br>С.М.<br>22<br>25<br>C.Ν.<br>26<br>27<br>G.N.<br>27<br>26<br>R.M.<br>P.V.<br>25<br>22<br>27<br>23<br>At the 0.05 level of significance, is there evidence of a difference in the mean ratings<br>between the two products?<br>а.<br>b. What assumption is necessary about the population distribution in order to perform this<br>test?<br>с.<br>Determine the p-value in (a) and interpret its meaning.<br>d. Construct and interpret a 95% confidence interval estimate of the difference in the mean<br>ratings between the two products<br>

Extracted text: Starbucks is considering introducing two new coffee-based products. In order to decide on which product to selI, they construct a taste-testing experiment. In the experiment nine coffee experts tasted and rated the two products based on a 7 point scale (1 = extremely unpleasing, 7 = extremely pleasing) for each of four characteristics: taste, aroma, richness, and acidity. For confidentiality purposes names of the products are given as A and B. The results of the taste testing experiment are given in the table below. Expert A В C.C. 24 26 S.E. 27 27 E.G. 19 22 B.L. 24 27 С.М. 22 25 C.Ν. 26 27 G.N. 27 26 R.M. P.V. 25 22 27 23 At the 0.05 level of significance, is there evidence of a difference in the mean ratings between the two products? а. b. What assumption is necessary about the population distribution in order to perform this test? с. Determine the p-value in (a) and interpret its meaning. d. Construct and interpret a 95% confidence interval estimate of the difference in the mean ratings between the two products

Jun 09, 2022
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