Introduction To Statistics And Data Analysis
6th Edition
ISBN: 9781337793612
Author: PECK, Roxy.
Publisher: Cengage Learning,
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Chapter 11.1, Problem 16E
The paper “Does the Color of the Mug Influence the Taste of the Coffee?” (Flavour [2014]: 1–7) describes an experiment in which subjects were assigned at random to one of two treatment groups. The 12 people in one group were served coffee in a white mug and were asked to rate the quality of the coffee on a scale from 0 to 100. The 12 people in the second group were served the same coffee in a clear glass mug, and they also rated the coffee. The mean quality rating for the 12 people in the white mug group was 50.35 and the standard deviation was 20.17. The mean quality rating for the 12 people in the clear glass mug group was 61.48 and the standard deviation was 16.69. For this exercise, you may assume that the distribution of quality ratings for each of the two treatments is approximately normal.
- a. Use the given information to construct and interpret a 95% confidence interval for the difference in mean quality rating for this coffee when served in a white mug and when served in a glass mug.
- b. Based on the interval from Part (a), are you convinced that the color of the mug makes a difference in terms of mean quality rating? Explain.
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Chapter 11 Solutions
Introduction To Statistics And Data Analysis
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- The marketing department of ABC Ltd is interested in assessing whether those people who currently buy cars from a rival do so because they view ABC’s cars as being of poor quality. In carrying out a survey, the marketing department asked 200 people two questions. Firstly, have you purchased a car from ABC in the last month? Secondly, which of the following best describes your view of the quality of cars sold by ABC? The responses to these questions are shown in the Table below. Is there evidence of an association between customers’ purchasing behaviour and their perception of the quality of cars sold by ABC Ltd? Explain your results in terms that would be comprehensible to a manager with little knowledge of statistics.arrow_forwardIn a study of whether taking a garlic supplement reduces the risk of getting a cold, participants were assigned to either a garlic supplement group or to a group that did not take a garlic supplement.† Based on the study, it was concluded that the proportion of people taking a garlic supplement who get a cold is lower than the proportion of those not taking a garlic supplement who get a cold. Do you think that the study was conducted in a reasonable way? What additional information would you want in order to evaluate this study? (Select all that apply.) A) whether the patients knew which treatment they were receiving B) whether the patients were randomly assigned to the treatments C) whether the patient's last name started with A through M D) whether the patient's cold lasted more than a week E) whether the experiment was conducted on a sufficient number of patients so that the differences observed could not be attributed to chancearrow_forwardA random sample of Engineering and Architecture students of a university were interviewed to determine if there is an association between study habits and academic performance. The results were tabulated below. Students Favourable Neutral Unfavourable Engineering 80 60 70 Architecture 100 50 70 Test the hypothesis that there is no significant difference between the study habits and academic performance using a 0.05 level of significance.arrow_forward
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