The following is the breakdown of male patients with high blood pressure, high cholesterol, and diabetes at a medical center by age. Each condition is independent and no patient on the table has multiple conditions.
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- Avobenzone is one of the active ingredients in several commercially available sunscreens. It can be absorbed into the bloodstream when sunscreen is applied to the skin. The Food and Drug Administration has expressed concern about the safety of absorbing too much avobenzone. Researchers recruited 24 healthy volunteers to investigate avobenzone absorption for four different commercially available sunscreens: two sprays, a lotion, and a cream. Do the types of sunscreens (spray, lotion, and cream) differ in terms of how much avobenzone is absorbed into the blood? Subjects were randomly assigned to one of the four sunscreens, with six subjects for each. Subjects had 2 milligrams of sunscreen per 1 cm? applied to 75% of their body surface area (area outside of normal swimwear) four times per day for four days. The amount of avobenzone absorbed into the bloodstream (in nanograms per milliliter ap-plied, ng/mL) after 150 hours was then measured for each subject. For the purpose of analyzing…Suppose you are a production manager for a small firm that manufactures designer phone cases. Your production facility utilizes three machines. Quality is binary — each phone case is either defective or it is not defective. Each hour, Machines 1, 2, and 3 produce 10, 10 and 20 phone cases, respectively. But because the machines differ slightly in their technology, data on past production has shown that they differ in terms of their rates of defective output — specifically, Machines 1, 2, and 3 have rates of defective production of 2%, 4%, and 5%, respectively. If one phone case is selected randomly from one hour’s total output, and that phone case is found to be defective, what is the probability that it was produced by Machine 1? Machine 2? Machine 3?A pharmaceutical company is testing the effectiveness of its vaccine across two different age brackets. They take a sample and split the participants up into two separate groups. Group A consists of 44 people who are between ages 13 and 18. Group B consists of 58 people between ages 19 and 26. After being administered the vaccine, it was found that 37 people from group A were immune to the virus and 42 people from group B were immune. (this is the same situation from the previous daily) Why do we use the 'pooled proportion' instead of the null hypothesis in the denominator of the test statistic? At a 10% significance level, is there reason to believe there is a difference in vaccine efficacy between Group A and Group B? explain each step
- A motion picture industry analyst is studying movies based on epic novels. The following data were obtained for 10 Hollywood movies made in the past five years. Each movie was based on an epic novel. For these data, x1 = first-year box office receipts of the movie, x2 = total production costs of the movie, x3 = total promotional costs of the movie, and x4 = total book sales prior to movie release. All units are in millions of dollars. x1 x2 x3 x4 85.1 8.5 5.1 4.7 106.3 12.9 5.8 8.8 50.2 5.2 2.1 15.1 130.6 10.7 8.4 12.2 54.8 3.1 2.9 10.6 30.3 3.5 1.2 3.5 79.4 9.2 3.7 9.7 91.0 9.0 7.6 5.9 135.4 15.1 7.7 20.8 89.3 10.2 4.5 7.9 a) If x2 (production costs) and x4 (book sales) were held fixed but x3 (promotional costs) were increased by 1.1 million dollars, what would you expect for the corresponding change in x1 (box office receipts)? (Use 2 decimal places.)b) Test each coefficient in the regression equation to determine if it is zero or not zero. Use level of…A U.S. magazine, Consumer Reports, carried out a survey of the calorie and sodium content of a number of different brands of hotdog. There were two types of hotdog: beef, ’meat‘ (mainly pork and beef but can contain up to 15% poultry) and poultry. The results below are the calorie content of the different brands of beef and poultry hotdogs. Beef hotdogs: 186,181,176,149,184,190,158,139,175,148,152,111,141,153,190,157,131,149,135,132 Poultry hotdogs: 129,132,102,106,94,102,87,99,170,113,135,142,86,143,152,146,144 Using six steps of hypothesis testing, determine if there is a strong evidence that the calorie content of poultry hotdogs is lower than the calorie content of beef hotdogs.In an article published in 2012 at Telegraph.co.uk, Warranty Direct gave engine failure rates for a variety of car brands based on their database of UK direct consumer warranties. The following are known: ● Hondas failed at a rate of 1 in 344. ● Fords failed at a rate of 1 in 80. ● Audis failed at a rate of 1 in 27. Suppose Hondas account for 20% of sales at a particular dealer, Audis 30%, and Fords 50%. Assuming the engine failure rates apply to these vehicles. Determine the probability that a randomly selected vehicle from this dealer will experience engine failure.
- A motion picture industry analyst is studying movies based on epic novels. The following data were obtained for 10 Hollywood movies made in the past five years. Each movie was based on an epic novel. For these data, x1 = first-year box office receipts of the movie, x2 = total production costs of the movie, x3 = total promotional costs of the movie, and x4 = total book sales prior to movie release. All units are in millions of dollars. x1 x2 x3 x4 85.1 8.5 5.1 4.7 106.3 12.9 5.8 8.8 50.2 5.2 2.1 15.1 130.6 10.7 8.4 12.2 54.8 3.1 2.9 10.6 30.3 3.5 1.2 3.5 79.4 9.2 3.7 9.7 91.0 9.0 7.6 5.9 135.4 15.1 7.7 20.8 89.3 10.2 4.5 7.9 a) Find a 90% confidence interval for each coefficient. (Use 2 decimal places.) lower limit upper limit ?2 ?3 ?4 b) Suppose a new movie (based on an epic novel) has just been released. Production costs were x2 = 11.4 million; promotion costs were x3 = 4.7 million; book sales were x4 = 8.1 million. Make a…This weekend, Premier League officials will be conducting urine tests for all players who are participating in Premier League matches. The tests are being carried out as part of the league's ongoing efforts to combat the use of performance-enhancing drugs and other banned substances. The urine samples will be collected before and after the matches, and will be analysed by a World Anti-Doping Agency (WADA)-accredited laboratory to detect any traces of banned substances in the players' systems. Suppose 3% of the players will use banned substances. Let X be the number of players that officials need to test to find the first case of using banned substances. Let Y be the number of players tested to find 3 such cases. (a) Name the probability distribution and specify the value of any parameter(s) for each of the two random variables X and Y. (b) What is the probability that at least 5 players are to be tested to find the first using-banned-substances case? (c) What is the probability that…A car rental agency in a major city has a total of 4600 cars that it rents from three locations: Metropolis Airport, downtown, and the smaller City Airport. Some weekly rental and return patterns are shown in the table (note that Airport means Metropolis Airport). Returned to AP DT CA 90% 10% 10% Airport (AP) Downtown (DT) 5% 80% 5% Rented from At the beginning of a week, how many cars should be at each location so that the same number of cars will be there at the end of the week (and hence at the start of the next week)? AP DT CA Need Help? cars cars cars Read It Watch t Talk to a Tutor
- The following is the breakdown of male patients with high blood pressure, high cholesterol, and diabetes at a medical center by age. Each condition is independent and no patient on the table has multiple conditions. 25-29 30-39 40-49 50-59 +09 High Blood 0.08 0.22 0.01 0.04 0.05 Pressure High 0.02 0.05 0.08 0.09 0.10 Cholesterol Diabetes 0.01 0.05 0.05 0.08 What is the probability a patient has high blood pressure if they are between the age of 40-49?In August and September 2005 , Hurricanes Katrina and Rita caused extraordinary flooding in New Orleans, Louisiana. Many homes were severely damaged or destroyed, and of those that survived, many required extensive cleaning. It was thought that cleaning flood-damaged homes might present a health hazard due to the large amounts of mold present in many of the homes. In a sample of 350 residents of Orleans Parish who had participated in the cleaning of one or more homes, 50 had experienced symptoms of wheezing, and in a sample of 176 residents who had not participated in the cleaning, 42 reported wheezing symptoms (numbers read from a graph). Can you conclude that there is a difference between the proportion of residents with wheezing symptoms who cleaned flood-damaged homes and those who did not participate in the cleaning? Let p1 denote the proportion of residents with wheezing symptoms who had cleaned flood-damaged homes and p2 denote the proportion of…