Explanation Calculation: The descriptive statistics of attractiveness of two category for female and male are given. Here the less and more attractiveness can be compared for females and males separately. For men: (1). The assumption for conducting the test: For both the groups, the response variable should be quantitative. Both the samples should be independent random samples. For each group the population distribuion should be normal. Let μ 1 be the true mean attractiveness score for more group. Let μ 2 be the true mean attractiveness score for less group. (2). Hypotheses: Null hypothesis: H 0 : μ 1 = μ 2 That is, the true mean score are same for both groups. Alternative hypothesis: H a : μ 1 ≠ μ 2 That is, the true mean score are different for both groups. (3)Test statistic: Software procedure: Step by step procedure to obtain the test statistic by using MINITAB software: Choose Stat > Basic Statistics > 2-Sample t . Choose Summarized data . In first, enter Sample size as 35 , Mean as 9.7 Standard deviation as 10 . In second, enter Sample size as 36 , Mean as 9.9 , Standard deviation as 12.6 . Choose Options . In Confidence level , enter 95 . In Alternative , select not equal . Click OK in all dialogue boxes. Output using the MINITAB software is given below: From the output, the test statistic is –0.07. (4)P-value: From the output, the P-value is 0.941. (5)Conclusion: Decision rule: If P-value is less than the level of significance, reject the null hypothesis. Otherwise fail to reject the null hypothesis. Conclusion: Here assume the level of significance is 0.05. Here, P-value is greater than the level of significance. That is, 0.941 > 0.05 Therefore, fail to reject the null hypothesis. It can be concluded that there is no proper evidence to support that the attractiveness scores are different for two groups for men at 5% level of significance

Statistics: The Art and Science of Learning from Data (4th Edition)

4th Edition

ISBN: 9780321997838

Author: Alan Agresti, Christine A. Franklin, Bernhard Klingenberg

Publisher: PEARSON

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Chapter 10, Problem 111CP

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Chapter 10 Solutions

Statistics: The Art and Science of Learning from Data (4th Edition)

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Solution Summary: The author concludes that there is no proper evidence to support the null hypothesis.

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