HW 4 One Way ANO VA Assignment: For the questions below, use JMP and the sample data to answer the questions in context. In the previous homework assignment, we studied the systolic blood pressures of patients in a medical system and their relationship to whether or not the patient smoked. In this homework assignment, we will analyze the same systolic blood pressures, but now we will look at their relationship to the weight of the patient, labeled as either Normal, Overweight, or Obese. 1. Use Graph Builder in JMP to produce a side-by-side boxplot of the systolic blood pressures for the patients based on their weight group. Include the graph on your answer sheet. 2. Describe one difference you see in the side-byside boxplots of the blood pressures between the three groups. 3. Use JMP to obtain the five number summaries and the means and standard deviations of the blood pressures for the three groups. Include the output on your answer sheet. 4. Describe one difference you see in the summary statistics of the blood pressures between the three groups. 5. Use the ANOVA Hypothesis test to answer the following research question: Is there a difference in the mean systolic blood pressures in the three populations of patients determined by their weight? Make sure to include the null and alternative hypotheses, ANOVA Table and F-test statistic, p-value, and conclusion. 6. Use JMP to obtain the pvalues and 95% confidence intervals for the multiple pairwise comparisons of systolic blood pressure among the three weight groups using Tukey's HSD method discussed in lecture. Include the output on your answer sheet. 7. Summarize the results of the three hypothesis tests from the multiple pairwise comparisons output in number 6. 8. Summarize the results of the three condence intervals from the multiple pairwise comparisons output in number 6. 9. Do you have any concerns about the equal variances assumption in this situation? Explain your answer. 10. Do you have any concerns about the normality assumption for each sample mean in this situation? Explain your answer. Blood - Graph Buil ? > > Graph Builder SystolicBP SystolicBP 100 44% 80 Normal 60 22% 40 18% 20 8% 5% 2% 1% 0 100 80 52% Weight Overweight 60 40 19% 20 12% 14% 3% 0 48% 100 80 Obese 60 19% 40 15% 10% 8% 20 50 100 150 200 SystolicBP\fOneway Analysis of SystolicBP By Weight 200- 50 SystolicBP 100 - Normal Overweight Obese All Pairs Weight Tukey-Kramer 0.05 Quantiles Level Minimum 10% 25% Median 75% 90% Maximum Normal 67 102 120 135 152 174 207 Overweight 100 114 130 138 159.5 181 213 Obese 101 122.5 135 147 173.75 196.5 224 Oneway Anova Summary of Fit Rsquare 0.071088 Adj Rsquare 0.06735 Root Mean Square Error 27.03578 Mean of Response 144.952 Observations (or Sum Wgts) 500 Analysis of Variance Sum of Source DF Squares Mean Square F Ratio Prob > F Weight 27800.85 13900.4 19.0174 <.0001 error c. total means for oneway anova level number mean std lower upper normal overweight obese uses a pooled estimate of variance and deviations err dev comparisons all pairs using tukey-kramer hsd confidence quantile q alpha threshold matrix abs positive values show that are significantly different.means different. connecting letters report b c levels not connected by same letter ordered differences difference dif cl p-value>