JMP Assignment 5 [1] An agency offers preparation courses for a graduate school admissions test to students. As part of an experiment to evaluate the merits of the course, 12 students were chosen and divided into 6 pairs in such a way that the members of any pair had similar academic records. Before taking the test, one member of each pair was assigned at random to take the preparation course, while the other member did not take a course. The achievement test scores are contained in the Student Prep imp file. Is the true mean test score higher for students taking the preparation course? Assume that the differences in scores follow a normal distribution. Use JMP to conduct the appropriate hypothesis test. Answer the following questions [1.1] State Assumptions: [1.2] State the Null and Alternative Hypothesis statements H.: Ha : Conduct hypothesis test using a 5% level of significance: a = 0.05 [1.3] What is the correct test statistic? [1.4] Sample Data, Computation of Test Statistic and p-value. (Paste JMP output with data input fields here.) [1.5] State decision rules in terms of the p-value. What can we conclude based on the sample information? What does this mean in terms of the problem? 1JMP Assignment 5 [2] A random sample of 69 health insurance firms, 47 did public relations in-house, as did 40 of an independent random sample of 69 casualty insurance firms. Conduct a hypothesis test of equality of the population proportions against a two-sided alternative. Use JMP to conduct the appropriate hypothesis test. Use a 5% significance level. [2.1] State Assumptions: [2.2] State the Null and Alternative Hypothesis statements Ho: Ha: Conduct hypothesis test using a 5% level of significance: a = 0.05 Test Statistic Z = - Phealth - Pcasualty where, po (1 - po) - po (1 - pQ) nhealth ncasualty Po = Xhealth + Xcasualty nhealth + ncasualty [2.3] Sample Data, Computation of Test Statistic and p-value. (JMP output with data input fields) (Paste JMP output with data input fields here.) [2.4] State decision rules in terms of the p-value. What can we conclude based on the sample information? What does this mean in terms of the problem? 2JMP Assignment 5 [3] An advertising firm wants to determine the effects of the color of a magazine advertisement on the response of magazine readers. A random sample of readers is shown ads of four different colors, (Blue, Green, Yellow, Red) and three different sizes, (Small, Medium, Large.) The readers were asked to rate the ads from 1 to 12. The advertising firm felt that the size of the ad might make a difference, so they made sure that each color had an equal chance to be matched with each ad size. They weren't so interested in the ad size; they just didn't want the ad size to mask any differences due to the ad color. The file Ad Color imp contains the results. Use a 5% significance level, a = 0.05 for all hypothesis tests and confidence intervals. Conduct the appropriate analysis using JMP. [3.1] Use JMP to conduct the appropriate statistical analysis. (paste Analysis of Variance Table Here) [3.2] In your own words state the null and alternative hypothesis statements for the factor of interest. [3.3] What can we conclude about the factor of interest? WJMP Assignment 5 [3.4] If appropriate, use JMP to create Tukey simultaneous 95 percent confidence intervals and make pairwise comparisons if appropriate. If not appropriate, state why we would not make pairwise comparisons. (paste Ordered Differences Report Here) (Interpret each of the simultaneous confidence intervals here. Or, use this space to state why we would not conduct a multiple comparison for the factor of interest.) 4Ad Color.jmp Ad Color.jmp E Size Source Color Rating 1 Blue Small 2 Blue Medium 3 3 Blue Large 5 4 Green Small 3 5 Green Medium 5 Columns (3/1) Color 6 Green Large 6 Size 7 Yellow Small Rating 8 Yellow Medium 9 Yellow Large 7 10 Red Small 100 11 Red Medium 9 12 Red Large 12 Rows All rows 12 Selected Excluded OoOO Hidden Labelled... Student_Prep.jmp Student_Prep... STUDENT_PA COURS NO Source A IR E COURSE 82 75 2 73 71 A W N - 3 59 52 A 48 46 Columns (3/1) 5 5 69 70 STUDENT_PAIR 93 83 COURSE NO COURSE Rows All rows Selected Excluded Hidden Labelled