2. A fashion designer wants to investigate whether his most important product (a t-shirt) outsells if he embroiders a pi

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2 A Fashion Designer Wants To Investigate Whether His Most Important Product A T Shirt Outsells If He Embroiders A Pi 1 (129.25 KiB) Viewed 27 times

2. A fashion designer wants to investigate whether his most important product (a t-shirt) outsells if he embroiders a picture of a rider on his chest as a logo. That's why he conducts the following customer survey: 23 test persons are selected. First he shows them the t-shirt with logo and asks for a rating on a scale from 0 (bad) to 10 (good). Then he shows them the t-shirt without logo and asks for another rating. The fashion designer now asks the following question: Does the average customer rating differ at all for the t-shirt with and without logo? You are asked to help him answer that question. The following test results could be helpful. Two Sample t-test data: Rating t = 2.514, df = 44, p-value = 0.01567 alternative hypothesis: true difference in means is not equal to O 95 percent confidence interval: 0.2084226 1.8931983 sample estimates: mean in group with mean in group without 5.538457 4.487646 Paired t-test data: Rating t = 4.6617, df = 22, p-value = 0.0001199 alternative hypothesis: true difference in means is not equal to O 95 percent confidence interval: 0.5833301 1.5182908 sample estimates: mean of the differences 1.05081 True or false? Justify your answer! a) In the sample the t-shirt with logo receives the higher ratings. b) To answer the fashion designer's question, it must be tested whether there is a correlation between the two customer reviews. c) The data can be visualized suitably by means of parallel boxplots of the reviews with and without logo d) In order to answer the question, a test for location differences must be carried out. e) The question can be answered with: Yes, the average customer ratings differ significantly. (significance level 1%)