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- There are X-Mart and Y-Mart convenience stores. It is assumed that each customer purchases once a week at one of the two supermarkets (but not both). In a study, a sample of 100 buyers was taken for 10 weeks. From this research it is known that if buyers go to X-mart store one week, 85 people will still buy at X-mart store the following week and if buyers go to Y-mart store one week, 70 people will still buy at Y-mart store. mart the following week. 1. Make a table and matrix of transition probabilities. 2. If John purchases at X-mart in the first week, what is the probability that Bob purchases at X-store in the third and fourth weeks?Certain app allows you to order from different types of cuisine. According with the app's records 23% of the orders are to an American food restaurant, 38% to an Asian food restaurant, 17% to a Mexican food restaurant, 6% to a Dessert place, and the rest are to other types of restaurants. Assume that incoming orders are independent of each other.According to Wikipedia, Marie Skłodowska Curie (7 November 1867 - 4 July 1934) was a Polish and naturalized-French physicist and chemist who conducted pioneering research on radioactivity. She was the first woman to win a Nobel Prize, the first person and the only woman to win the Nobel Prize twice, and the only person to win the Nobel Prize in two different scientific fields. She was part of the Curie family legacy of five Nobel Prizes. She was also the first woman to become a professor at the University of Paris, and in 1995 became the first woman to be entombed on her own merits in the Panthéon in Paris. Madame Curie died 1934 from aplastic anaemia, a rare condition linked to high levels of exposure to the radioactive elements polonium and radium. Due to her many years of exposure to these radioactive. elements, her remains are dangerously radioactive and are entombed in a lead-lined coffin in France's Panthéon. The thick lead shields visitors to the Panthéon from the dangerous…
- It has been observed that some persons who suffer colitis, again suffer colitis within one year of the first episode. This is due, in part, to damage from the first episode. The performance of a new drug designed to prevent a second episode is to be tested for its effectiveness in preventing a second episode. In order to do this two groups of people suffering a first episode are selected. There are 55 people in the first group and this group will be administered the new drug. There are 45 people in the second group and this group will be administered a placebo. After one year, 11% of the first group has a second episode and 9% of the second group has a second episode. Conduct a hypothesis test to determine, at the significance level 0.1, whether there is reason to believe that the true percentage of those in the first group who suffer a second episode is different from the true percentage of those in the second group who suffer a second episode? Select the [Alternative Hypothesis,…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…When looking at the data for graduate school admissions between men and women, it is shown that about 45% of men are admitted but only 38% of women. However, when the data is broken down by school it turns out that, within each school, the women are admitted at higher rates than the men. This could happen because I. The women apply in higher numbers to schools with lower acceptance rates. II. The women apply in higher numbers to schools with higher acceptance rates III. The men apply in higher numbers to schools with lower acceptance rates IV. The men apply in higher numbers to schools with higher acceptance rates
- In the city of AZ, there are two supermarkets, X-Mart and Y-Mart. It is assumed that every shopper makes a purchase once a week at one of these supermarkets (not both).In a study, 100 samples of shoppers were taken over 10 weeks. From the study, it is known that if a shopper goes to X-Mart in one week, 85 people will continue to shop at X-Mart in the following week, and if a shopper goes to Y-Mart in one week, 70 people will continue to shop at Y-Mart in the following week.Create a transition probability table and matrix for this scenario, and then If in the first week Ivankov buys from X-Mart, what is the probability that Terry will buy from X-Mart in the third and fourth weeks?Medical researchers performed a comparison of two drugs, clopidogrel and ticagrelor, which are designed to reduce the risk of heart attack or stroke in coronary patients. A total of 6665 patients were given clopidogrel, and 6740 were given ticagrelor. Of the clopidogrel patients, 651 suffered a heart attack or stroke within one year, and of the ticagrelor patients, 573 suffered a heart attack or stroke. Can you conclude that the proportion of patients suffering a heart attack or stroke is less for ticagrelor? Let p1 denote the proportion of patients suffering a heart attack or stroke with clopidogrel and p2 denote the proportion of patients suffering a heart attack or stroke with ticagrelor. Use the =α0.01 level of significance and the P -value method with the TI-84 Plus calculator. please state p method clearly!A murder scene is found with two types of blood - that of the victim and that ofthe murderer. As luck would have it, the unidentified blood has an incredibly rareblood disorder, only found in 1 in every million men. The capital and surroundingareas have a population of 20 million - and the police are sure the murderer isfrom the capital. The police have already started cataloging all citizens' bloodtypes for their new super crime-database. They already have nearly 1 millionmale samples in there - and bingo - one man, Mr XY, is a match. He is promptlymarched off to trial, there is no other evidence, but the jury are told that the oddsare 1 in a million that he is innocent. He is duly convicted. The question is, howlikely is it that he did not commit this crime?
- An undergraduate psychology course only gives the grades of A, B, C, or F. The department has determined that there should be 20% A's given, 30% B's given, 40% C's, and 10% F's given as final grades for the course. For the spring 2021 semester, 400 students took the course and 100 students received A's, 100 students received B's, 150 students received C's and 50 students received F's, so taose are my obsérved frequencies. We want to do a Chi-square Multinomial Goodness of Fit test to see if our grading guidelines match up with what is actually happening. What is the expected frequency for the grade of C category? Round your answer to the tenths position.Medical researchers performed a comparison of two drugs, clopidogrel and ticagrelor, which are designed to reduce the risk of heart attack or stroke in coronary patients. A total of 6720 patients were given clopidogrel, and 6679 were given ticagrelor. Of the clopidogrel patients, 551 suffered a heart attack or stroke within one year, and of the ticagrelor patients, 654 suffered a heart attack or stroke. Can you conclude that the proportion of patients suffering a heart attack or stroke is greater for ticagrelor? Let p1 denote the proportion of patients suffering a heart attack or stroke with clopidogrel and p2 denote the proportion of patients suffering a heart attack or stroke with ticagrelor. Use the α=0.10 level of significance and the P-value method with the TI-84 Plus calculator. a)State the appropriate null and alternate hypotheses. b) find P-value c)Determine whether to reject H0. d)There (is/is not) enough evidence to conclude that the mean weight loss of subjects having…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…
