Find the inverse of the following matrices: 1) 2 3 -2 A = 1 4 1 2 1 3.
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- In her last semester at SPC, Polly Hedron needs to take Statistics, Composition 2, and Ethics. Because Polly is registering early, she has 16 choices for her section of Statistics, 20 choices for her section of Composition, and 11 choices for her section of Ethics. From how many possible schedules can Polly choose? (You may presume that none of these sections interfere with each other)The source depicts the results of a fictional study investigating whether the number of hours of sleep a person gets varies with his or her gender(male,female) and with the number of energy drinks that he or she consumes in a day. Equal numbers of men and women were randomly assigned to drink either 0, 1, or 2 energy drinks during the course of a day and then record the number of hours they slept that night. Table: Coffee and Sleep Source SS df MS F Gender 0.250 1 0.250 0.283 Energy Drinks 81.556 2 40.778 46.180 Gender X Drinks 2.667 2 1.330 1.510 Within…The source table depicts the results of a fictional study investigating whether the number of hours of sleep a person gets varies with his or her gender (male, female) and with the number of energy drinks that he or she consumes in a day. Equal numbers of men and women were randomly assigned to drink either 0, 1, or 2 energy drinks during the course of a day and then record the number of hours they slept that night. Table: Coffee and Shop Source SS df MS F Gender 0.250 1 0.250 0.283 Energy Drinks 81.556 2 40.778 46.180 Gender X Drinks 2.667 2 1.330 1.510 Within…
- A car agency has offices in Phoenix, Denver, and Chicago. The agency allows one- or two-way rentals so that cars rented in one location may end up in another. Statistics show that at the end of each week 70% of all rentals are two-way. As for the one-way rentals: from Phoenix, 40% go to Denver, and the rest to Chicago; from Denver, 60% go to Chicago and the rest to Phoenix; from Chicago, 40% go to Denver and the rest to Phoenix; If each location is designed to handle a maximum of 120 cars, would there be a long run space availability problem in any of the location?A car agency has offices in Phoenix, Denver, and Chicago. The agency allows one- or two-way rentals so that cars rented in one location may end up in another. Statistics show that at the end of each week 70% of all rentals are two-way. As for the one-way rentals: from Phoenix, 40% go to Denver, and the rest to Chicago; from Denver, 60% go to Chicago and the rest to Phoenix; from Chicago, 40% go to Denver and the rest to Phoenix; Express the situation as a Markov chain.A car agency has offices in Phoenix, Denver, and Chicago. The agency allows one- or two-way rentals so that cars rented in one location may end up in another. Statistics show that at the end of each week 70% of all rentals are two-way. As for the one-way rentals: from Phoenix, 40% go to Denver, and the rest to Chicago; from Denver, 60% go to Chicago and the rest to Phoenix; from Chicago, 40% go to Denver and the rest to Phoenix; If the agency starts the week with 100 cars in each location, what will the distribution be like in two weeks (two-step transition probability matrix)?
- A study of high school juniors in three districts – Belvidere, Rockford, and Byron – was conducted to determine enrollment trends in AP mathematics courses – Calculus or Statistics. 42% of students in the study came from Rockford, 37% from Belvidere, and the rest from Bryon. In Rockford, 64% of the juniors took Statistics and the rest took Calculus. 58% of juniors in Belvidere and 49% of juniors in Byron took Statistics while the rest took Calculus in each district. No juniors took both Statistics and Calculus. a.Describe this situation using a tree diagram. b.Find the probability that a randomly selected student from in the study took Statistics.The Grand Canyon and the Colorado River are beautiful, rugged, and sometimes dangerous. Assume there is a physician at the park clinic in Grand Canyon Village. Suppose the physician has recorded (for a 5-year period) the number of visitor injuries at different landing points for commercial boat trips down the Colorado River in both the Upper and Lower Grand Canyon. Upper Canyon: Number of injuries per Landing Point BetweenNorth Canyon and Phantom Ranch 2 3 1 1 3 4 8 11 3 1 3 Lower Canyon: Number of injuries per Landing Point BetweenBright Angel and Lava Falls 10 1 1 0 8 9 2 11 3 0 1 10 2 1 The mean, median, and mode for Upper Canyon are 3.636, 3.0, and 3, respectively. The mean, median, and mode for Lower Canyon are 4.286, 2.0, and 1, respectively.Compare the mean, median, and mode found in Upper Canyon and Lower Canyon, respectively.Johnson Filtration, Inc. provides maintenance service for water-filtration systems. Suppose that in addition to information on the number of months since the machine was serviced and whether a mechanical or an electrical repair was necessary, the managers obtained a list showing which repairperson performed the service. Repair Time(hours) Months SinceLast Service Type ofRepair Repairperson 2.9 2 electrical Dave Newton 3.0 6 mechanical Dave Newton 4.8 8 electrical Bob Jones 1.8 3 mechanical Dave Newton 2.9 2 electrical Dave Newton 4.9 7 electrical Bob Jones 4.2 9 mechanical Bob Jones 4.8 8 mechanical Bob Jones 4.4 4 electrical Bob Jones 4.5 6 electrical Dave Newton Ignore for now the months since the last maintenance service (x1 ) and the repairperson who performed the service. Develop the estimated simple linear regression equation to predict the repair time (y) given the…
- In the Focus Problem at the beginning of this chapter, a study was described comparing the hatch ratios of wood duck nesting boxes. Group I nesting boxes were well separated from each other and well hidden by available brush. There were a total of 489 eggs in group I boxes, of which a field count showed about 272 hatched. Group II nesting boxes were placed in highly visible locations and grouped closely together. There were a total of 821 eggs in group II boxes, of which a field count showed about 262 hatched. (a) Find a point estimate p̂1 for p1, the proportion of eggs that hatch in group I nest box placements. (Round your answer to four decimal places.) p̂1 = Find a 95% confidence interval for p1. (Round your answers to three decimal places.) lower limitupper limit (b) Find a point estimate p̂2 for p2, the proportion of eggs that hatch in group II nest box placements. (Round your answer to four decimal places.) p̂2 = Find a 95% confidence interval for p2. (Round your…I am having troble interpreting these two tables.In the Focus Problem at the beginning of this chapter, a study was described comparing the hatch ratios of wood duck nesting boxes. Group I nesting boxes were well separated from each other and well hidden by available brush. There were a total of 485 eggs in group I boxes, of which a field count showed about 274 hatched. Group II nesting boxes were placed in highly visible locations and grouped closely together. There were a total of 790 eggs in group II boxes, of which a field count showed about 262 hatched. (a) Find a point estimate p̂1 for p1, the proportion of eggs that hatch in group I nest box placements. (Round your answer to three decimal places.)p̂1 = Find a 95% confidence interval for p1. (Round your answers to three decimal places.) lower limit upper limit (b) Find a point estimate p̂2 for p2, the proportion of eggs that hatch in group II nest box placements. (Round your answer to three decimal places.)p̂2 = Find a 95% confidence interval for p2. (Round…
