7.71 Comparison of dietary composition. Refer to Example 7.15 (page 443). That study also broke down the dietary composition of the main meal. The following table summarizes the total fats, protein, and carbohydrates in the main meal (g) for the two groups: Fats Protein Carbohydrates Early eaters (n 202) Late eaters (n X 23.1 27.6 64.1 S 12.5 8.6 21.0 21.4 25.7 63.5 200) S 8.2 6.8 20.8 (b) Describe appropriate null and alternative hypotheses for comparing the two groups in terms of fats consumed. (c) Carry out the significance test using a = 0.05. Report the test statistic with the degrees of freedom and the P-value. Write a short summary of your conclusion. (d) Find a 95% confidence interval for the difference between the two means. Compare the information given by the interval with the information given by the significance test.
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- 1)In a cross-tabulation or contingency table examining the relationship between breed of dog and whether the dog passed certification to become a service animal, it is found that, overrall, 62 percent of the dogs were certified. The data looked at this for 6 breeds of dogs. If breed and being certified are independent of each other, about what percentage of each breed would pass the test? 2)Which of the following features must be present in a research design if the researchers want their data to demonstrate a causal relationship? The cause must take place before the effect. To the extent possible, another variable that explains the relationship needs to be ruled out or accounted for. The two variables need to covary. These three features must all be present. O A and B A correlation coefficient r provides two pieces of information about a relationship between two variables. These are Strength; direction of relationship Direction, proportionsAs part of a study on transportation safety, the US Department of Transportation collected data on the number of fatal accidents per 1000 licenses and the percentage of licensed drivers under the age of 21 in a sample of 42 cities. Data colletced over a one year period follow. These data are contained in the file Safety. PercentUnder 21 Fatal Accidentsper 1000 13 2.962 12 0.708 8 0.885 12 1.652 11 2.091 17 2.627 18 3.83 8 0.368 13 1.142 8 0.645 9 1.028 16 2.801 12 1.405 9 1.433 10 0.039 9 0.338 11 1.849 12 2.246 14 2.855 14 2.352 11 1.294 17 4.1 8 2.19 16 3.623 15 2.623 9 0.835 8 0.82 14 2.89 8 1.267 15 3.224 10 1.014 10 0.493 14 1.443 18 3.614 10 1.926 14 1.643 16 2.943 12 1.913 15 2.814 13 2.634 9 0.926 17 3.256 What is the value of the standard error of the estimate? Test for a significant relationship (show all appropriate steps). Use α = .05. In parts c and d, please give all appropriate…In the study described in the paper, "Exposure to Diesel Exhaust Induces Changes in EEG in Human Volunteers," 10 healthy mean were exposed to diesel exhaust for 1 hour. A measure of brain activity (called median power frequency, or MPF in Hz) was recorded at the same location in the brain both before and after the diesel exhaust exposure. The resulting data are given in the accompanying table. For purposes of this exercise, assume that the sample of 10 men is representative of healthy adult males. Subject 1 2 3 4 5 6 7 8 9 10 MPF Before (in HZ) 6.4 8.7 7.4 8.7 9.8 8.9 9.3 7.4 6.6 8.9 MPF After (in HZ) 8.0 12.6 8.4 9.0 8.4 11.0 14.4 11.3 7.1 11.2 Difference Construct and interpret a 90% confidence interval estimate for the difference in mean MPF before and after exposure to diesel exhaust.
- An automotive engineer is investigating two different types of metering devices for an electronic fuel injection system to determine whether they differ in their fuel mileage performance. The system is installed on 10 different cars, and a test is run with each metering device on each car. The data is provided below: Metering Device Car 1 2 1 17.6 16.8 2 19.4 20.0 3 18.2 17.6 4 17.1 16.4 5 15.3 16.0 6 15.9 15.9 7 16.3 16.5 8 18.0 18.4 9 17.3 16.4 10 19.1 20.1 Is there a significant difference between the means of the two metering devices? Use . Interpret the result in the context of the problem. An article in the journal Hazardous Waste and Hazardous Materials (Vol. 6, 1989) reported the results of an analysis of the weight of calcium in standard cement and cement doped with lead. Reduced levels of calcium would indicate that the hydration mechanism in the cement is blocked…The scientific productivity of major world cities was the subject of a recent study. The study determined the number of scientific papers published between 1994 and 1997 by researchers from each of the 20 world cities, and is shown below. City Number of papers City Number of papers City 1 1616 City 11 33 City 2 2626 City 12 99 City 3 1212 City 13 2121 City 4 55 City 14 44 City 5 22 City 15 55 City 6 2626 City 16 44 City 7 66 City 17 2020 City 8 2525 City 18 1717 City 9 1616 City 19 2222 City 10 66 City 20 2525 Construct a 95 % confidence interval for the average number of papers published in major world cities. blank <μ<blankThe table below shows the auto insurance quotes for two leading companies for a sample of 15 families. Assume the populations SDs are similar, but unknown. The President of the American Insurance Institute wants to compare the yearly costs of such insurance offered by the two companies. At the 0.10 level of significance, can we conclude that there is a difference in the amounts quoted? Families Southern Car American Mutual ($) ($) 1 2090 1610 2 1683 1247 3 1402 2327 4 1830 1367 5 930 1461 6 697 1789 7 1741 1621 8 1129 1914 9 1018 1956 10 1881 1772 11 1571 1375 12 874 1527 13 1579 1767 14 1577 1636 15 860 1188
- As part of a study on transportation safety, the U.S. Department of Transportation collected data on the number of fatal accidents per 1000 licenses and the percentage of licensed drivers under the age of 21 in a sample of 42 cities. Data collected over a one-year period follow. These data are contained in the file Safety. PercentUnder 21 Fatal Accidentsper 1000 13 2.962 12 0.708 8 0.885 12 1.652 11 2.091 17 2.627 18 3.83 8 0.368 13 1.142 8 0.645 9 1.028 16 2.801 12 1.405 9 1.433 10 0.039 9 0.338 11 1.849 12 2.246 14 2.855 14 2.352 11 1.294 17 4.1 8 2.19 16 3.623 15 2.623 9 0.835 8 0.82 14 2.89 8 1.267 15 3.224 10 1.014 10 0.493 14 1.443 18 3.614 10 1.926 14 1.643 16 2.943 12 1.913 15 2.814 13 2.634 9 0.926 17 3.256 d. Give a 95% interval estimate of the number of fatal accidents per 1000 licenses in a city where 15% of the licensed drivers are under 21.As part of a study on transportation safety, the U.S. Department of Transportation collected data on the number of fatal accidents per 1000 licenses and the percentage of licensed drivers under the age of 21 in a sample of 42 cities. Data collected over a one-year period follow. These data are contained in the file Safety. PercentUnder 21 Fatal Accidentsper 1000 13 2.962 12 0.708 8 0.885 12 1.652 11 2.091 17 2.627 18 3.83 8 0.368 13 1.142 8 0.645 9 1.028 16 2.801 12 1.405 9 1.433 10 0.039 9 0.338 11 1.849 12 2.246 14 2.855 14 2.352 11 1.294 17 4.1 8 2.19 16 3.623 15 2.623 9 0.835 8 0.82 14 2.89 8 1.267 15 3.224 10 1.014 10 0.493 14 1.443 18 3.614 10 1.926 14 1.643 16 2.943 12 1.913 15 2.814 13 2.634 9 0.926 17 3.256 a. What is the value of the standard error of the estimate? b. Test for a significant relationship (show all appropriate steps). Use α = .05. c. Give a 95% interval estimate of the…2.Researchers studied selenium levels in beef raised in a low selenium region of the United States. The goal of the study was to compare selenium levels in the region-raised beef to selenium levels in cooked venison, squirrel, and beef from other regions of the United States. The data in the Excel file (se_level.xlsx or se_level.txt) are the selenium levels calculated on a dry weight basis in mg=100 g for a sample of 53 region-raised cattle 11.23 29.63 20.42 10.12 39.91 32.66 38.38 36.21 16.39 27.44 17.29 56.20 28.94 20.11 25.35 21.77 31.62 32.63 30.31 46.16 56.61 24.47 29.39 40.71 18.52 27.80 19.49 15.82 27.74 22.35 34.78 35.09 32.60 37.03 27.00 44.20 13.09 33.03 9.69 32.45 37.38 34.91 27.99 22.36 22.68 26.52 46.01 38.04 30.88 30.04 25.91 18.54 25.51 Please answer the following questions: Use these data to construct: A…
- The table shows the lifetimes in hours of samples from three different types of plant species exposed to a pesticide. Determine whether there is a difference between the three types a significance level 0.01 Sample 1 457 461 459 Sample 2 454 456 458 455 452 Sample 3 460 458 456 458 What is the variation between treatment ?Fifteen adult males between the ages of 35 and 50 participated in a study to evaluate the effect of diet and exercise on blood cholesterol levels. The total cholesterol was measured in each subject initially and then three months after participating in an aerobic exercise program and switching to a low-fat diet. The data are shown in the following table.Is there a significant difference between the population means of group 1 and group 2 kindergarten children on a social perceptiveness measures at 0.05 level? Consider the data below Group 1 Group 2Mean 21.3 18.1Sd 5.8 7.5N 15 10