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- 1. Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed in the test tube each day and the data on daily food consumption by the bacteria (in units per day) are as shown in Table 2.6. How many bacteria of each strain can coexist in the test tube and consume all of the food? Table 2.6 Bacteria Strain I Bacteria Strain II Bacteria Strain III Food A 1 2 0 Food B 2 1 1 Food C 1 1 2Urban Travel Times Population of cities and driving times are related, as shown in the accompanying table, which shows the 1960 population N, in thousands, for several cities, together with the average time T, in minutes, sent by residents driving to work. City Population N Driving time T Los Angeles 6489 16.8 Pittsburgh 1804 12.6 Washington 1808 14.3 Hutchinson 38 6.1 Nashville 347 10.8 Tallahassee 48 7.3 An analysis of these data, along with data from 17 other cities in the United States and Canada, led to a power model of average driving time as a function of population. a Construct a power model of driving time in minutes as a function of population measured in thousands b Is average driving time in Pittsburgh more or less than would be expected from its population? c If you wish to move to a smaller city to reduce your average driving time to work by 25, how much smaller should the city be?Question #11 A tamoxifen study claims that a combination of chemotherapy and the hormone therapy tamoxifen is more effective than tamoxifen alone in preventing breast cancer. In the study, a group of researchers from the U.S. and Canada studied 1477 postmenopausal women with early-stage breast cancer. The women were randomly assigned to one of three study groups. The first group of 361 received tamoxifen alone on a daily basis for five years. The second group of 566 received chemotherapy and tamoxifen for six months, and then completed five years of tamoxifen treatment. And the third group of 550 received chemotherapy alone for six months followed by five years of tamoxifen treatment. All 1477 patients knew which treatment they were receiving.In this study, which is the control group? the third group of 550 that received chemotherapy alone for 6 months and then tamoxifen for 5 years the second group of 566 that received tamoxifen and chemotherapy concurrently for 6 months the first…
- Question 3 a. Management of a nationwide Australian bank organised for a survey of its clients to assess the level of satisfaction with its services. To do this a staff member attempted to administer a survey to 3,000 of the bank’s 480,000 predominantly online customers and to 2,000 of the bank’s 320,000 predominantly face to face customers.. The survey administrator received 2,500 completed surveys from the 3,000 sent to online customers. Of the completed surveys, 875 indicated that the client was satisfied with the bank’s services.iv. State the name and the value of the statistic that is the best estimate for the proportion of the predominantly online client population that are satisfied.v. Use the Excel macro provided this session to determine a 90% confidence interval for the proportion of the online client population that was satisfied.Question 4 a The researcher is concerned that older persons may not be knowledgeable of the COFLU-20. Assuch, he is interested in investigating the association between the age of the respondents and theirknowledge level. Table 2 below shows the knowledge level of respondents, by age group.Table 2Age Group Knowledge Level TotalPoor Satisfactory Good18 - 25 33 16 13 6226 - 34 30 18 12 6035 - 44 29 14 12 5545 - 54 36 16 18 7055 - 75 17 14 22 53Total 145 78 77 300 Conduct a test, at the 5% level of significance, to determine whether the data provided sufficientevidence to conclude that an association exists between age group and knowledge level. (i) State the hypotheses to be tested:H0:H1: Calculate:(ii) state the degrees of freedom for this test (iii) the p-value for this test, given that the chi-square test statistic, x2, is 11.029. (iv) state the conclusion for the test. Give reason for your answer.QUESTION 4(a) The researcher is concerned that older persons may not be knowledgeable of the COFLU-20. Assuch, he is interested in investigating the association between the age of the respondents and theirknowledge level. Table 2 below shows the knowledge level of respondents, by age group.Table 2Age Group Knowledge Level TotalPoor Satisfactory Good18 - 25 33 16 13 6226 - 34 30 18 12 6035 - 44 29 14 12 5545 - 54 36 16 18 7055 - 75 17 14 22 53Total 145 78 77 300Conduct a test, at the 5% level of significance, to determine whether the data provided sufficientevidence to conclude that an association exists between age group and knowledge level.(i) State the hypotheses to be tested:H0:H1: [Calculate:(ii) state the degrees of freedom for this test (iii) the p-value for this test, given that the chi-square test statistic, 2, is 11.029.(iv) state the conclusion for the test. Give reason for your answer.continue
- QUESTION 4(a) The researcher is concerned that older persons may not be knowledgeable of the COFLU-20. Assuch, he is interested in investigating the association between the age of the respondents and theirknowledge level. Table 2 below shows the knowledge level of respondents, by age group.Table 2Age Group Knowledge Level TotalPoor Satisfactory Good18 - 25 33 16 13 6226 - 34 30 18 12 6035 - 44 29 14 12 5545 - 54 36 16 18 7055 - 75 17 14 22 53Total 145 78 77 300Conduct a test, at the 5% level of significance, to determine whether the data provided sufficientevidence to conclude that an association exists between age group and knowledge level.(i) State the hypotheses to be tested:H0:H1: Calculate:(ii) state the degrees of freedom for this test (iii) the p-value for this test, given that the chi-square test statistic, 2, is 11.029.(iv) state the conclusion for the test. Give reason for your answer.Question 23: The National Institute of Mental Health published an article stating that in any one-year period, approximately 9% of American adults suffer from depression or a depressive illness. Suppose that in a survey of 2000 people in a certain city, 10% of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that city suffering from depression or a depressive illness is more than the 9% in the general adult American population. Test the relevant hypotheses using a 10% level of significance. Give answer to at least 4 decimal places. What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.) H0: H1: Based on the hypotheses, find the following: Test Statistic = p-value = Based on the above we choose to The correct summary would be: that the true proportion of people in that city suffering from depression or a…question 10 Advertising You are the marketing director for a company that manufactures bodybuilding supplements and you are planning to run ads in Magazine A and Magazine B. Based on readership data, you estimate that each one-page ad in Magazine A will be read by 575,000 people in your target group, while each one-page ad in Magazine B will be read by 275,000 people in your target group. You would like your ads to be read by at least 5 million people in the target group, and, to ensure the broadest possible audience, you would like to place at least four full-page ads in each magazine during the year. Draw the feasible region showing how many pages you can purchase in each magazine. Find the corner points of the region. (Place Magazine A on the x-axis and Magazine B on the y-axis.) Find the corner points of the region. (Order your answers from smallest to largest x, then from smallest to largest y. If an answer does not exist, enter DNE. Round each coordinate to the nearest whole…
- QUESTION 4 (a) The researcher is concerned that older persons may not be knowledgeable of the COFLU-20. As such, he is interested in investigating the association between the age of the respondents and their knowledge level. Table 2 below shows the knowledge level of respondents, by age group. Table 2 Age Group Knowledge Level Total Poor Satisfactory Good 18 - 25 33 16 13 62 26 - 34 30 18 12 60 35 - 44 29 14 12 55 45 - 54 36 16 18 70 55 - 75 17 14 22 53 Total 145 78 77 300 (b) Finally, the researcher is interested in examining the regression model for knowledge, attitude and practices towards the COFLU-20. The following model was developed to forecast individual practices towards COFLU-20 using knowledge and attitude scores. P = α + β K + δ A where P = Practice towards COFLU-20 score K = Knowledge towards COFLU-20 score A = Attitude towards COFLU-20 score The data are processed using…Question 4: The following data includes the year, make, model, mileage (in thousands of miles) and asking price (in US dollars) for each of 13 used Honda Odyssey minivans. The data was collected from the Web site of the Seattle P-I on April 25, 2005. year make model mileage price 2004 Honda Odyssey EXL 20 26900 2004 Honda Odyssey EX 21 23000 2002 Honda Odyssey 33 17500 2002 Honda Odyssey 41 18999 2001 Honda Odyssey EX 43 17200 2001 Honda Odyssey EX 67 18995 2000 Honda Odyssey LX 46 13900 2000 Honda Odyssey EX 72 15250 2000 Honda Odyssey EX 82 13200 2000 Honda Odyssey 99 11000 1999 Honda Odyssey 71 13900 1998 Honda Odyssey 85 8350 1995 Honda Odyssey EX 100 5800 Compute the correlation between age (in years) and mileage for these minivans. (Assume the correlation conditions have been satisfied and round your answer to the nearest 0.001.)QUESTION 5 A country club wants to exam the effects of a new marketing campaign that attempts to get more people within the community to become members. In many communities, when people buy a house in the area, they receive a “Welcome Wagon” gift basket containing coupons to local restaurants. The idea of the marketing campaign is to include a free two month membership to the country club in the gift basket with the hope that once “new” residents try the country club then at least a certain proportion will want to become real members. One member of the Club’s Executive Council believes that at least 80% of the people who receive the coupons for the free membership will use the coupon. In a sample of 197 new residents who received the coupon for the two month free membership, there were 136 people who actually took advantage of the free two month membership. When testing the hypothesis that at least 80% of the people that receive the coupon actually use it, what is the test statistic?…