638 CHAPTER 12 Analysis of Variance 3.Birth Weights Data Set 6 “Births” includes birth weights (g), hospitals, and the day of the week that mothers were admitted to the hospital. Using rows to represent the four hospitals (Albany Medical Center, Bellevue Hospital Center, Olean General Hospital, Strong Memorial Hospital), and using columns to represent the seven different days of the week, a two-way table has 28 individual cells. Using five birth weights for each of those 28 cells and using StatCrunch for two-way analysis of variance, we get the results displayed below. What do you conclude? 4.Birth Weights The table below lists some of the same data used in the preceding exercise, but the seven days of the week are combined into weekday (Monday, Tuesday, Wednesday, Thursday, Friday) and weekend days (Saturday, Sunday). Also, the birth weights are converted to kilograms. What do you conclude? Weekday Weekend Albany 3.5 3.4 3.3 2.8 3.3 3.1 3.6 3.5 0.3 1.7 Bellevue 3.4 3.0 3.2 0.6 3.2 3.5 2.5 3.1 1.0 3.2 Olean 2.6 2.6 3.2 2.9 3.2 3.3 3.0 3.1 3.5 3.7 Strong 2.9 3.4 2.7 3.5 3.3 3.6 2.8 2.3 3.3 2.7 In Exercises 1–5, refer to the following list of numbers of years that deceased U.S. presidents, popes, and British monarchs lived after their inauguration, election, or coronation, respectively. (As of this writing, the last president is George H. W. Bush, the last pope is John Paul II, and the last British monarch is George VI.) Assume that the data are samples from larger populations. Cumulative Review Exercises Longevity (years) Presidents 1029262815231725 020 4 1241612 4101716 0 72412 4182111 2 936 1228 316 925233230 Popes 2 921 3 6101811 62523 6 21532 2511 81719 515 026 Monarchs 17 6131213335910 763 9253615 1.Exploring the Data Include appropriate units in all answers. a. Find the mean for presidents, find the mean for popes, and find the mean for the monarchs. b. Find the standard deviation for presidents, find the standard deviation for popes, and find the standard deviation for monarchs. c. Find the variances for presidents, popes, and monarchs. d. Are there any obvious outliers? e. What is the level of measurement of the data (nominal, ordinal, interval, ratio)? 2.Comparing Two Means Treating the data as samples from larger populations, test the claim that there is a significant difference between the mean of presidents and the mean of popes.
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