What is the average diastolic blood pressure level for Island inhabitants? What is the proportion of Islanders that are in debt? DATA: Use the same data that you collected from the Mini Project 1. Now, we are ready to collect the data from virtual people living on the Islands. In this project, chose to use either only the males or only the females. Village Akkeshi Arcadia Biruwa Bjurholm Blonduos Colmar Eden Gordes Hayarano Helluland Helvig Hofn Kinsale Kiyobico Maeva Mahuti Nelson Nidoma Nidoma Pauma Pauma Reading Riroua Shinobi Takazaki Talu Talu Vaiku Valais Vardo Analyze: House 339 57 340 64 15 167 35 323 13 199 773 31 114 68 67 82 80 55 58 30 65 105 42 7 88 115 103 124 121 12 Name Yuka Collins Sakura Yamada Chloe Davies Julia Thorn Helga Eklund Anna Carlsen Sonja Larsen Adelie Morris Haruka Sato Erika Carlsen Olina Ibsen Elsa Sorensen Madison Sato Kaeda Jones Vanessa Blomgren Taylor Burke Elin Bager Helene McCarthy Sakura Collins Viktoria Thorn Frederique Gagnon Allana Brown Erika Lund Inge Carlsen Selina Carlsen Helsa Ibsen Molly Connolly Malena Sorensen Hannah Suzuki Kelda Eklund Gende r F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F Debt N Y N N N N Y N N N Y N N N N N Y N N N N N N N N N N N N Y Systolic Blood Pressur e 143 127 144 150 145 117 132 124 118 120 124 116 122 137 135 162 131 110 142 128 112 121 127 129 137 116 120 136 146 127 Diastoli c Blood Pressur e 85 87 74 65 87 65 89 82 67 82 87 71 85 86 83 86 78 71 86 85 68 77 83 82 84 65 69 85 85 88 Part One (For females), what is the average diastolic blood pressure level? 1. State the question. Answer: What is the average diastolic blood pressure level for females 2. Make a histogram of the data and describe using the four characteristics:shape, center, variability and outliers. Answer: Shape: Center: Variability Outliers 3. Define the parameter. Answer: 4. State and check the assumptions for the 95% confidence interval for the population mean. Make sure to explain why the assumptions is met or not. (Hint: A check mark is not sufficient.) Answer: 5. State the interval. Answer: Confidence Interval: Population Parameter Mean: Lower Bound 76.5559 Upper Bound 82.5775 Confidence Level (%) 95 6. Interpret the interval. Answer: Part Two (For females), what is the proportion of Islanders that are in debt? 7. State the question. Answer: What is the proportion of Islanders that are in debt? 8. Make a bar chart of the data for women. 9. Define the parameter. Answer: 10. State and check the assumptions for the 95% confidence interval for the population proportion. Make sure to explain why the assumptions is met or not. (Hint: A check mark is not sufficient.) ( I want you to compute the interval and interpret even if the assumption is not met, to show that you know how to do it if the assumptions had been met.) Answer: 11. State the interval. Answer: Confidence Interval: Population Lower Bound Parameter Proportion: p 0.0333 Upper Bound 0.3 Confidence Level (%) 95 12. Interpret the interval Answer: Conclusion 13. Suppose that you are a journalist that has been asked to summarize the results of this study. Give a brief summary of the results so that a friend who is not taking a statistics course would understand it. Answer: 14. Compute the bootstrap confidence interval (at 95% confidence) for the quantitative variable. Show the output for the bootstrap interval and compare the widths of the intervals for the two methods. Answer: Bootstrap Inference: Percentile Confidence Interval Population Parameter Mean Point Estimate 79.6 Bootstrap Standard Error 1.4531 Lower Bound 76.6 Upper Bound 82.3 Confidence Level 95% Number of Bootstrap Samples 10000