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- Determine the uncertainties in x2 and y2 using the rule for propagating uncertainties when multiplying two numbers. x=80, y=60, ∆x= ∆y=5.A soda company sells one of its soft drinks in 12 ounce cans. In order to ensure that every can has at least 12 ounces in it, the machines in the factory are set to fill each can with an average of 12.1 ounces of soda. Every week, a quality-control technician tests 10 cans to make sure that the average amount of soda in the cans is still 12.1 ounces. If the conclusion of the test is that the number of ounces of soda in the cans is different from 12.1, the technician will declare that the process is out of control, and the machine will be stopped and calibrated. From previous tests, the technician found that the standard deviation of the number of ounces of soda in the cans is approximately 0.01. The number of ounces of soda in the 10 cans that were tested this week is given below. Assume that the standard deviation from the technician's previous tests is the population standard deviation. Use a TI-83, TI-83 Plus, or TI-84 calculator to test whether filling process is out of control and…22. Is there multicollinearity in the model? Yes, No or Cannot be determined?
- A marketing research group conducting a telephone survey must contact at least 150 wives and 120 husbands. It costs P100 to make a daytime call and (because of higher labor costs) P150 to make an evening call. On average, daytime calls reach wives 30% of the time, husbands 10% of the time, and neither of these 60% of the time, whereas evening calls reach wives 30% of the time, husbands 30% of the time, and neither of these 40% of the time. Staffing considerations mean that daytime calls must be less than or equal to half of the total calls made. How many should be interviewed at each period to minimize the cost of completing the survey? fomulate the LP Model; identify the decision variables used in the model; and determine the optimal solution using graphical method.Suppose that there are 4 deaths due to stomach can- cer among workers in a tire plant from 1/1/64 to 12/31/83, while 2.5 are expected based on U.S. mortality rates. Provide a 95% CI for the expected number of deaths from stomach cancer over 20 years among the tire workers. Is the number of cases of stomach cancer excessive?A national study found that treating people appropriately forhigh blood pressure reduced their overall mortality by 20%.Treating people adequately for hypertension has been difficult because it is estimated that 50% of hypertensives donot know they have high blood pressure, 50% of those whodo know are inadequately treated by their physicians, and50% who are appropriately treated fail to follow this treatment by taking the right number of pills. 2 If the preceding 50% rates were each reduced to40% by a massive education program, then what effectwould this change have on the overall mortality rate amongtrue hypertensives; that is, would the mortality rate decreaseand, if so, what percentage of deaths among hypertensivescould be prevented by the education program?
- A researcher wishes to compare the effectiveness of group therapy to placebo “antidepressants” (i.e., sugar pills that people think are antidepressants) on negative feelings associated with break-ups. He finds 22 people who went through a break-up in the last 2 weeks. He places half of them in a therapy group that meets every day for 2 weeks. He gives the other half the sugar “antidepressant” (placebo) every day for the same time. Unfortunately, he soon discovers that two participants from the Group Therapy session are now dating each other. Because he is worried that their data will not be representative of the effects of group therapy, he decides to remove their data from that sample. So now, the Group Therapy sample only includes 9 participants. The researcher thought that the effects of Group Therapy might be different from those of Placebo antidepressants, but he is not sure how. At the end of the 2 weeks of treatment, he asks all participants to rate their negative feelings on a…A researcher wishes to compare the effectiveness of group therapy to placebo “antidepressants” (i.e., sugar pills that people think are antidepressants) on negative feelings associated with break-ups. He finds 22 people who went through a break-up in the last 2 weeks. He places half of them in a therapy group that meets every day for 2 weeks. He gives the other half the sugar “antidepressant” (placebo) every day for the same time. Unfortunately, he soon discovers that two participants from the Group Therapy session are now dating each other. Because he is worried that their data will not be representative of the effects of group therapy, he decides to remove their data from that sample. So now, the Group Therapy sample only includes 9 participants. The researcher thought that the effects of Group Therapy might be different from those of Placebo antidepressants, but he is not sure how. At the end of the 2 weeks of treatment, he asks all participants to rate their negative feelings on a…Suppose that a magazinemagazine predicted that Candidate A would defeat Candidate B in a certain election. They conducted a poll of its subscribersits subscribers with a response rate of 2424%. On the basis of the results, the magazinemagazine predicted that Candidate A would win with 57% of the popular vote. However, Candidate B won the election with about 62% of the popular vote. At the time of this poll, most subscribers to the magazinesubscribers to the magazine belonged to the party of Candidate A. Name two biases that led to this incorrect prediction.Choose the correct answer below. A.Nonresponse bias: The low response rate caused bias.Response bias: The way the poll was administered showed bias. B.Sampling bias: Using an incorrect frame led to undercoverage.Nonresponse bias: The low response rate caused bias. C.Sampling bias: Using an incorrect frame led to undercoverage.Response bias: The way the poll was administered showed bias. Click to select your answer.
- In a recent study, 50 males used a new weight-loss supplement, and 37 of them experienced weight loss after two weeks. In the same study, 25 females used the same supplement, and 16 of them experienced weight loss after two weeks. Fill in the blanks below to make the most reasonable statement possible The new weight-loss supplement was more effective on males or females in the study. That is because _______% only failed to lose weight after two weeks, whereas, _______ % of males or females failed to lose weight after two weeksA report in LTO stated that the average age of taxis in the Philippines is 9 years. An operations manager of a large taxi company selects of 40 taxis and finds the average age of the taxis is 8.2 years. The of the population is 2.3 years. At can it be concluded that the average age of the taxis in his company is less than the national average?A big private oil company must decide whether to drill in the Gulf of Mexico. It costs $1 million (i.e., 1M) to drill, and if oil is found its value is estimated at $6 million. At present, the oil company believes that there is 45% chance that oil is present. Before drilling begins, the big private oil company can hire a geologist for $100,000 to obtain samples and test for oil. There is only about a 60% chance that the geologist will issue a favorable report. Given that the geologist does issue a favorable report, there is an 85% chance that there is oil. Given an unfavorable report, there is a 22% chance that there is oil. The following decision tree determine what the big private oil company should do. All the numbers are represented in a million unit.