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- Finding hotel rates A 300-room hotel is two-thirds filled when the nightly room rate is 90. Experience has shown that each 5 increase in cost results in 10 fewer occupied rooms. Find the nightly rate that will maximize income.A driver’s age has something to do with his or her chance of getting into a fatal car crash. The bar graph shows the number of fatal vehicle crashes per 100 million miles driven for drivers of various age groups. For example, 25-year-old drivers are involved in 4.1 fatal crashes per 100 million miles driven. Thus, when a group of 25-year-old Americans have driven a total of 100 million miles, approximately 4 have been in accidents in which someone died. The number of fatal vehicle crashes per 100 million miles, y, for drivers of age x can be modeled by the formula : y = 0.013x2 - 1.19x + 28.24. Use the formula above and the bar graph at the bottom of the previous page to solve, What age groups are expected to be involved in 10 fatal crashes per 100 million miles driven? How well does the formula model the trend in the actual data shown by the bar graph?Group I nesting boxes were well separated from each other and well hidden by availablebrush. There were a total of 480 eggs in group I, of which a field count showed about275 hatched. Group II nesting boxes were placed in highly visible locations and groupedclosely together. There were a total of 874 eggs in group II boxes, of which a field countshowed about 272 hatched. Find a point estimate ˆp1 and ˆp2 for the proportion of eggsthat hatch in group I nest boxes and group II nest boxes. Let p1 and p2 be the populationproportion of hatched count in boxes I and II respectively. Find a 99% confidence intervalfor p1 − p2.(a) List the given information with appropriate symbols.(b) What is the probability distribution of ˆp1−pˆ2, difference between sample proportions?(c) Write the expression for the population mean of ˆp1 − pˆ2 distribution. Use propersymbols. (d) Find the population standard deviation of ˆp1 − pˆ2 distribution. Use proper mathematical symbols.(e) Find the margin of error of…
- Group I nesting boxes were well separated from each other and well hidden by available brush. There were a total of 480 eggs in group I, of which a field count showed about 275 hatched. Group II nesting boxes were placed in highly visible locations and grouped closely together. There were a total of 874 eggs in group II boxes, of which a field count showed about 272 hatched. Find a point estimate for p1, the proportion of eggs that hatch in group I nest box placements. Round your answer to three decimal places. Matching options: 1. x1y1 + x2y2 + x1y3 + x2y4 + x1y2 + x2y1 + x1y4 + x2y3 2. x1y1 + x2y2 + x1y2 + x2y1 + x1y3 + x2y4 + x1y4 + x2y3 3. x1y1 + x2y1 + x1y2 + x2y2 + x1y3 + x2y3 + x1y4 + x2y4 4. y1x1 + y1x2 + y1x3 + y1x4 + y2x1 + y2x2 + y2x3 + y2x4 5. y1x1 + y2x1 + y1x2 + y2x2 + y1x3 + y2x3 + y1x4 + y2x4 6. x1y1 + x1y2 + x1y3 + x1y4 + x2y1 + x2y2 + x2y3 + x2y4ZIP codes, revisited The intern from the marketingdepartment at the Holes R Us online piercing salon(Chapter 3, Exercise 53) has recently finished a studyof the company’s 500 customers. He wanted to knowwhether people’s ZIP codes vary by the last productthey bought. They have 16 different products, and theANOVA table of ZIP code by product showed thefollowing:Source DFSum ofSquaresMeanSquare F-Ratio P-ValueProduct 15 3.836e10 2.55734e9 4.9422 60.0001Error 475 2.45787e11 517445573Total 490 2.84147e11(Nine customers were not included because of missingZIP code or product information.)What criticisms of the analysis might you make? Whatalternative analysis might you suggest?
- The hospital readmission rate is often considered an indicator of an undesirable patient outcome. Youquality improvement team is located at a metropolitan hospital that serves a large population. The quality improvement team is conducting a study pertaining to readmissions, smoking and number of drugs administered to admitted patients with congestive heart failure (CHF). The team is interested in reducing the number of readmissions among patients discharged with a principal diagnosis of CHF. The team believes that the high admission rate is due to the difficulty that these patients have in controlling the number of drugs that they typically take. The team believes that by improving patient/family education regarding drug administration, the readmission rate could be reduced. Thus, they have developed the screen “CHF patients taking three or more drugs” to identify these patients before discharge. To evaluate the effectiveness of the measure, the team conducts a study on all CHF…Micro Nash game theory Show that if in a game G, the sets of actions (A i) i in N are compact, and the payment functions (u i) i in N are continuous, then for all i in N, the application of Best response has a closed graph. Conclude that the application of best response has a closed graph.A researcher's survey results indicate that about 50% of 12th graders consume less than 300g of vegetables at lunch, about 40% consume 300-600g, and only 10% of them consume more than 600g. A high school conducted a survey of student diets and health information, and reported data about 12th graders' vegetable intake at lunch is reported in the table photo. If researchers wants to find out whether the high school has the same proportions of 12th graders in the vegetable intake categories as reported by the survey, what would the appropiate test statistic be to use and why. Choosing between an ANOVA, Chi -Square independence tests, Chi Square Goodness of Fit, and One sample proportion test?
- A cardiologist is interested in the average recovery period for her patients who have had heart attacks. Match the vocabulary word with its corresponding example. All heart attack patients that the cardiologist has cared for or will care for in the future The average recovery time for all heart attack patients that the cardiologist has or will treat The average recovery time for the 32 heart attack patients The recovery time for a heart attack patient The 32 heart attack patients who were observed by the cardiologist The list of all 32 heart attack patients' recovery times Statistic Population Data Parameter Sample VariableSleep Late, a large hotel chain, has been using activity-based costing to determine the cost of a night’s stay at their hotels. One of the activities, “Inspection,” occurs after a customer has checked out of a hotel room. Sleep Late inspects every 10th room and has been using “number of rooms inspected” as the cost driver for inspection costs. A significant component of inspection costs is the cost of the supplies used in each inspection Mary Adams, the chief inspector, is wondering whether inspection labor-hours might be a better cost driver for inspection costs. Mary gathers information for weekly inspection costs, rooms inspected, and inspection labor-hours as follows: Q.Plot the data and regression line for rooms inspected and inspection costs. Plot the data and regression line for inspection labor-hours and inspection costs. Which cost driver of inspection costs would you choose? Explain.A psychiatrist is wants to understand the effect of rationality on phobias. The psychiatrist has maternal twin patients with Scoleciphobia. In an experiment designed to induce anxiety, the psychiatrist randomly assigned one of the twins to look at real worms in a small glass tank and the other twin looks at pictures of worms. The anxiety scores for the patients are below where a higher score indicates more anxiety. What can be concluded with α = 0.10? real picture 3646415235562631454050 3853586858533833536342 A) critical value equals= test statistic equals= B) What is the CI? C) Compute the corresponding effect size(s) and indicate magnitude(s) d= r2
