Unformatted text preview: Lesson 9 Homework Solutions 14.1 Hotel satisfaction: a) The response variable is the performance gap, the factor is which hotel the guest stayed in, and the categories are the five hotels. b) : ; : 5 4 3 2 1 a H H μ μ μ μ μ = = = = at least two of the population means are unequal. c) 4 1 5 1 1 =- =- = g df because there are five groups; 120 5 125 2 =- =- = g N df because there are 125 people in the study and five groups d) from a table or software, F = 2.45 and higher 14.3 What’s the best way to learn French? : a) i) Assumptions : Independent random samples, normal population distributions with equal standard deviations ii) Hypotheses : : ; : 3 2 1 a H H μ μ μ = = at least two of the population means are unequal iii) Test statistic : ( 29 5 , 2 50 . 2 2 1 = = = df df F iv) P-value : 0.177 (rounds to 0.18) v) Conclusion : If the null hypothesis were true, the probability would be 0.18 of getting a test statistic at least as extreme as the value observed. We cannot reject the null hypothesis at a standard significance level of 0.05. It is plausible that the the null hypothesis at a standard significance level of 0....
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- Spring '11
- Statistics, Mean, Null hypothesis, Statistical hypothesis testing