Chapter 8, Problem 8.22AC

The Conch Café, located in Gulf Shores, Alabama, features casual lunches with a great view of the Gulf of Mexico. To accommodate the increase in business during the summer vacation season, Fuzzy Conch, the owner, hires a large number of servers as seasonal help. When he interviews a prospective server, he would like to provide data on the amount a server can earn in tips. He believes that the amount of the bill and the number of diners are both related to the amount of the tip. He gathered the following sample information.   Customer Amount of Tip Amount of Bill Number of Diners Customer Amount of Tip Amount of Bill Number of Diners 1   $ 6.05   $ 73.22   1 16 $ 3.30   $ 23.59   2 2     4.50     28.23   4 17   3.50     22.30   2 3     1.00     10.65   1 18   3.25     32.00   2 4     2.40     19.82   3 19   5.40     50.02   4 5     5.00     28.62   3 20   2.25     17.60   3 6     4.25     24.83   2 21   1.40     41.80   5 7     .50     6.25   1 22   3.00     20.27   2…

A manufacturing company is analyzing its accident record. The accidents fall into two categories:  Minor—dealt with by first aider: Average cost k50  Major—hospital required. Average cost k1,000 The company has 1,000 employees, of which 180 are office staff and the rest work in the factory. The analysis shows that 10% of employees have an accident each year and 20% of accidents are major. It is assumed that an employee has more than one accident in a year. (i) Determine the expected total cost of accidents in a year. [] On further analysis it is discovered that a member of office staff has half the probability of having an accident relative those in the factory. (ii) Show that the probability that a given a member of office staff has an accident in a year is 0.0549. (iii) Determine the probability that a randomly chosen employee who has had an accident is office staff.

ompanies in the U.S. car rental market vary greatly in terms of the size of the fleet, the number of locations, and annual revenue. In 2011, Hertz had 320,000 cars in service and annual revenue of approximately $4.2 billion. Suppose the following data show the number of cars in service (1,000s) and the annual revenue ($ millions) for six smaller car rental companies. Company Cars(1,000s) Revenue($ millions) Company A 11.5 120 Company B 10.0 133 Company C 9.0 98 Company D 5.5 37 Company E 4.2 38 Company F 3.3 30 (a) Develop a scatter diagram with the number of cars in service as the independent variable. A scatter diagram has 6 points plotted on it. The horizontal axis ranges from 0 to 14 and is labeled: Cars in Service (1,000s). The vertical axis ranges from 0 to 160 and is labeled: Annual Revenue ($ millions). The points are plotted from left to right in an upward, diagonal direction starting from the lower left corner of the diagram and are between 3 to 12 on…

Qualitative variables can be divided into two types:

A manufacturing company is analyzing its accident record. The accidents fall into two categories: Minor—dealt with by first aider: Average cost k50 Major—hospital required. Average cost k1,000The company has 1,000 employees, of which 180 are office staff and the rest work in the factory.The analysis shows that 10% of employees have an accident each year and 20% of accidents are major. It is assumed that an employee has more than one accident in a year.(i) Determine the expected total cost of accidents in a year. On further analysis it is discovered that a member of office staff has half the probability of having an accident relative those in the factory. (ii)Show that the probability that a given a member of office staff has an accident in a year is 0.0549.(iii) Determine the probability that a randomly chosen employee who has had an accident is office staff.

Please answer C. and D. Palisades Eco-Park is a small ecological reserve that admits a relatively small number of visitors on any day, but provides both educational and entertaining lectures, exhibitions, and opportunities to observe nature. The company has collected the following data on labor costs and number of visitors to the park over the last 30 months.   Month Labor Cost Visitors 1 $ 25,820 1,700 2 $ 36,290 2,592 3 $ 39,968 2,811 4 $ 31,648 2,222 5 $ 34,809 2,373 6 $ 32,672 2,181 7 $ 32,023 2,205 8 $ 38,334 2,676 9 $ 38,568 2,760 10 $ 46,933 3,572 11 $ 42,157 2,976 12 $ 39,030 2,804 13 $ 34,444 2,415 14 $ 33,173 2,336 15 $ 36,971 2,508 16 $ 26,500 2,099 17 $ 30,663 3,397 18 $ 29,961 2,786 19 $ 27,590 2,412 20 $ 30,003 2,972 21 $ 25,692 2,000 22 $ 24,655 1,794 23 $ 28,892 3,267 24 $ 30,153 3,817 25 $ 28,119 2,592 26 $ 31,690 3,274 27 $ 28,651 2,989 28 $ 29,927 3,050 29 $ 28,438 2,511 30 $ 27,874 2,075…

Companies in the U.S. car rental market vary greatly in terms of the size of the fleet, the number of locations, and annual revenue. In 2011, Hertz had 320,000 cars in service and annual revenue of approximately $4.2 billion. Suppose the following data show the number of cars in service (1,000s) and the annual revenue ($ millions) for six smaller car rental companies. Company  Cars (1,000s) Revenue ($ millions)  Company A 11.5 116 Company B  10 137 Company C 9 102 Company D  5.5 39 Company E  4.2 38 Company F 3.3 30 (a) Develop a scatter diagram with the number of cars in service as the independent variable.   (b) What does the scatter diagram developed in part (a) indicate about the relationship between the two variables?   (c) Use the least squares method to develop the estimated regression equation that can be used to predict annual revenue (in $ millions) given the number of cars in service (in 1,000s). (Round your numerical values to three decimal…

Companies in the U.S. car rental market vary greatly in terms of the size of the fleet, the number of locations, and annual revenue. In 2011, Hertz had 320,000 cars in service and annual revenue of approximately $4.2 billion. Suppose the following data show the number of cars in service (1,000s) and the annual revenue ($ millions) for six smaller car rental companies. Company Cars(1,000s) Revenue($ millions) Company A 11.5 116 Company B 10.0 133 Company C 9.0 98 Company D 5.5 37 Company E 4.2 40 Company F 3.3 32   a.Use the least squares method to develop the estimated regression equation that can be used to predict annual revenue (in $ millions) given the number of cars in service (in 1,000s). (Round your numerical values to three decimal places.) b. For every additional car placed in service, estimate how much annual revenue will change (in dollars). (Round your answer to the nearest integer.) Annual revenue will increase by $ , for every additional car placed in…

Companies in the U.S. car rental market vary greatly in terms of the size of the fleet, the number of locations, and annual revenue. In 2011, Hertz had 320,000 cars in service and annual revenue of approximately $4.2 billion. Suppose the following data show the number of cars in service (1,000s) and the annual revenue ($ millions) for six smaller car rental companies. Company Cars(1,000s) Revenue($ millions) Company A 11.5 118 Company B 10.0 137 Company C 9.0 102 Company D 5.5 39 Company E 4.2 40 Company F 3.3 32 (a) Develop a scatter diagram with the number of cars in service as the independent variable. A scatter diagram has 6 points plotted on it. The horizontal axis ranges from 0 to 14 and is labeled: Cars in Service (1,000s). The vertical axis ranges from 0 to 160 and is labeled: Annual Revenue ($ millions). The points are plotted from left to right in an upward, diagonal direction starting from the lower left corner of the diagram and are between 3 to 12 on…