The following information is given about a 24-hour car wash facility:• There are 2 car wash machines and a waiting area for 2 cars in the car wash facility. Thus, whilemaximum 2 vehicles can be washed in the facility at the same time, maximum 4 vehicles can befound in the facility.• The number of vehicles arriving at the facility conforms to the poisson distribution, with an averageof 6 vehicles per hour. The car wash time, on the other hand, follows the exponential distributionand its average is 12 minutes.• 30 TL is charged for washing service from each vehicle, and the cost of washing is 10 TL per vehicle.• There is a parking lot for 1 vehicle belonging to the municipality right next to the car wash facility.The municipality claimed that the car wash facility can rent the parking lot for 100 TL per day. If thisparking lot is rented, the capacity of the waiting area will be 3 vehicles, and when the washedvehicles are included, there will be a maximum of 5 vehicles at the same time.Should the facility rent this parking space from the municipality? Solve it by showing the necessaryoperations and writing their explanations.

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Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,608 kilowatt hours (kWh) of electricity this year. A local power company believes that residents in their area use more electricity on average than EIA's reported average. To test their claim, the company chooses a random sample of 187 of their customers and calculates that these customers used an average of 10,737kWh of electricity last year. Assuming that the population standard deviation is 1220kWh, is there sufficient evidence to support the power company's claim at the 0.05 level of significance? Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.
Table of Critical t-Values 12345678910 112151671912092980 Degrees of Freedom 0.25 13 14 23 24 32 33 2 t-Distribution Area in Right Tail 0.20 0.15 0.05 0.025 0.02 1.000 1.376 1.963 3.078 6.314 12.706 15.894 0.816 1.061 1.386 1.886 2.920 4.303 4.849 0.765 0.978 1.250 1.638 2.353 3.182 3.482 0.741 0.941 1.190 1.533 2.132 2.776 2.999 0.727 0.920 1.156 1.476 2.015 2.571 2.757 0.718 0.906 1.134 1.440 1.943 2.447 2.612 3.143 3.707 0.711 0.896 1.119 1.415 1.895 2.365 2.517 2.998 3.499 0.706 0.889 1.108 1.397 1.860 2.306 2.449 2.896 3.355 0.703 0.883 1.100 1.383 1.833 2.398 2.821 1.093 1.372 2.262 3.250 1.812 2.228 2.359 3.169 0.700. 0.879 0.876 2.764 2.328 2.718 0.697 1.796 2.201 0.695 0.873 2.179 2.303 2.681 0.694 0.870 1.088 1.363 1.083 1.356 1.782 1.079 1.350 1.771 2.160 2.282 2.650 1.076 1.345 1.761 2.145 2.264 2.624 1.074 1.753 1.337 1.746 1.333 1.740 2.110 1.330 1.734 2.101 1.328 1.729 1.341 2.131 2.249 1.067 1.066 1.064 1.325 1.725 2.567 2.898 2.552 2.878 2.539 2.861 2.528 2.845 2.093…
The Dominion Landing theme park has a new water ride,the Raging Rapids. The ride holds 36 people in boat-carsand it takes 4.1 minutes to complete the ride circuit. It alsotakes the ride attendants another 3.5 minutes (with virtually no variation) to load and unload passengers. Passengers arrive at the ride during peak park hours at the rate of4.4 per minute (Poisson distributed). Determine the lengthof the waiting line for the ride.
Suppose that, for one semester, you can collect the following data on a random sample of college juniors and seniors for each class taken: a standardised final exam score, percentage of lectures attended, a dummy variable indicating whether the class is within the student’s major, cumulative grade point average prior to the start of the semester, and SAT score. If you pool all of the data and use OLS, what are you assuming about unobserved student characteristics that affect performance and attendance rate and What roles do SAT score and prior GPA play in this regard?
an English course has 1 teacher and 102 students. before the test the teacher is available for office hours on a specific day and will see each student a maximum of ONE time. students arrive at his office according to a poisson process rate of 6 students per hour. the average time that a student spends in his office is epxonentially distributed with a mean of 8 minutes. the teached motives that some students who wait for a while leave before getting a chance to enter his office. the system model is: queueing system with balking, finite waiting space and infinite calling population queuing system with balking, infinite waiting space and finite calling population queuing system with reneging finite waiting space and infinite calling population queuing system with reneging, infinite waiting space and finite calling population queuing system with balking finite waiting space and finite calling population
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13) Flying over the western states with mountainous terrain in a small aircraft is 40% riskier than flying over similar distances in flatter portions of the nation, according to a General Accounting o o completed in response to a congressional request. The accident rate for small aircraft in thee mountainous western states is 2.4 accidents per 100.000 flight operations (Source: Denver Post). (a) Let r= number of accidents for a given number of operations, Explain why the Poisson distribution would be a good choice for the probability distribution of r. (b) Find the probability of no accidents in 100,000 flight operations. (c) Find the probability of at least 4 accidents in 200,000 flight operations.
According to the Community College Research Center, 80% (or more) of community college students intend to earn at least a bachelor’s degree. Source: http://ccrc.tc.columbia.edu/media/k2/attachments/what-we-know-about-transfer. pdf For our simulation, let’s assume that 80% is a population parameter. In other words, we are going to assume that the finding in this study actually holds true for the entire population of community college students. Based on this assumption, let’s simulate collecting random samples of 100 students and calculate some confidence intervals. Our goal is to see how often a confidence interval will accurately estimate the population proportion. By this we mean that the confidence interval contains the population proportion of0.80. Verify that the distribution of sample proportions for this situation can be modeled by a normal
In a Denver community, 50 cases of diabetes were reported among 15-19 years old out of a total population of 46,000 between September 1 to December 31, 2016. Ten percent (4,600) of the population were between 15-19 years old on April 1, 2016 and the size and age distribution of the population has remained constant. An investigation of the cases in the 15-19-year age group revealed that 22 of the reported cases were contracted prior to September 1. In addition, another 18 cases developed in April and May but were clinically resolved before September 1. What was the cumulative incidence rate of disease in 15-19 year olds per 1,000 population in this Denver community during the period September 1 to December 31, 2016?
The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,817 kilowatt hours (kWh) of electricity this year. A local power company believes that residents in their area use more electricity on average than EIA's reported average. To test their claim, the company chooses a random sample of 174 of their customers and calculates that these customers used an average of 11,156⁢kWh of electricity last year. Assuming that the population standard deviation is 1913⁢kWh, is there sufficient evidence to support the power company's claim at the 0.05 level of significance. Step 1 of 3 : State the null and alternative hypotheses for the test. Choose one option below H0: μ=10,817 HA: μ⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯10,817 A.≠ B.< C.> Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.

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