Question
In: Statistics and Probability
The owner of a car wash wants to see if the arrival rate of cars follows...
The owner of a car wash wants to see if the arrival rate of cars
follows a Poisson distribution. In order to test the assumption of
a Poisson distribution, a random sample of 150 ten-minute intervals
was taken. You are given the following observed
frequencies:
| Number of Cars Arriving in a 10-Minute Interval |
Frequency |
| 0 | 3 |
| 1 | 10 |
| 2 | 15 |
| 3 | 23 |
| 4 | 30 |
| 5 | 24 |
| 6 | 20 |
| 7 | 13 |
| 8 | 8 |
| 9 or more | 4 |
| 150 |
The calculated value for the test statistic equals
Solutions
orchestra answered 1 year agoRelated Solutions
Cars enter a car wash at a mean rate of 2 cars per half an hour....
Cars enter a car wash at a mean rate of 2 cars per half an hour.
What is the probability that, in any hour, exactly 5 cars will
enter the car wash? Round your answer to four decimal places.
On Saturdays, cars arrive at Sami Schmitt's Scrub and Shine Car Wash at the rate of...
On Saturdays, cars arrive at Sami Schmitt's Scrub and Shine Car
Wash at the rate of 6 cars per fifteen minute interval. Using the
Poisson distribution, the probability that five cars will arrive
during the next five minute interval is _____________.
From historical data, Harry’s Car Wash estimates that dirty cars arrive at the rate of 10...
From historical data, Harry’s Car Wash estimates that dirty
cars arrive at the rate of 10 per hour all day Saturday. With a
crew working the wash line, Harry figures that cars can be cleaned
at the rate of one every 5 minutes. One car at a time is cleaned in
this example of a single-channel waiting line. Assuming Poisson
arrivals and exponential service times, find the
average number of cars inline.
average time a car waits before it is...
An attendant at a car wash is paid according to the number of cars that pass...
An attendant at a car wash is paid according to the number of
cars that pass through. Suppose the probabilities are 1/12, 1/12,
1/4, 1/4, 1/6, and 1/6, respectively, that the attendant receives
$7, $9, $11, $13, $15, or $17 between 4:00 P.M. and 5:00 P.M. on
any sunny Friday.
a) What is the probability that the attendant receives more than
15 dollars in this period?
b) What is the probability that attendant receives less than 10
dollars in this...
Historically, the number of cars arriving per hour at Lundberg’s Car Wash is observed to be...
Historically, the number of cars arriving per hour at Lundberg’s
Car
Wash is observed to be the following:
Number of Cars Arriving
Frequency
4
10
5
30
6
50
7
65
8
45
Total:
200
a. Set up a probability distribution table (including the lower
end of
the probability range) for the car arrivals.
b. Simulate 25 hours of car arrivals. What is the average number
of
arrivals per hour?
c. Repeat part b multiple times (by pressing F9). Over...
A car wash firm calculates that its daily production (in number of cars washed) depends on...
A car wash firm calculates that its daily production (in number
of cars washed) depends on the number n of workers it
employs according to the formula
P = 40n − 0.05n2 cars.
Calculate the marginal product of labor at an employment level
of 50 workers. HINT [See Example 3.]
This means that, at an employment level of 50 workers, the
firm's daily production will increase at a rate of cars
per additional worker it hires.
The arrival rate of a customer at a service window of a cinema hall follows a...
The arrival rate of a customer at a service window of a cinema
hall follows a probability distribution with a mean rate of 45 per
hour. The service rate of the clerk follow a poison distribution
with a mean of 60 per hour
Queue length
Queue
Traffic
Total time spent in the
Total time spent in the system
Find the probability of having 0 in the
Find the probability of having 4 in the system
The proportion of time the...
Construction on the Bonita Full-Service Car Wash is nearing completion. The owner is Dave Kear, a...
Construction on the Bonita Full-Service Car Wash is nearing
completion. The owner is Dave Kear, a retired accounting professor.
The car wash is strategically located on a busy street that
separates an affluent suburban community from a middle-class
community. It has two state-of-the-art stalls. Each stall can
provide anything from a basic two-stage wash and rinse to a
five-stage luxurious bath. It is all “touchless,” that is, there
are no brushes to potentially damage the car. Outside each stall,
there...
Construction on the Bonita Full-Service Car Wash is nearing completion. The owner is Dave Kear, a...
Construction on the Bonita Full-Service Car Wash is nearing
completion. The owner is Dave Kear, a retired accounting professor.
The car wash is strategically located on a busy street that
separates an affluent suburban community from a middle-class
community. It has two state-of-the-art stalls. Each stall can
provide anything from a basic two-stage wash and rinse to a
five-stage luxurious bath. It is all “touchless,” that is, there
are no brushes to potentially damage the car. Outside each stall,
there...
Lorenzo operates a brushless car wash. Incoming cars are put on an automatic, continuously moving conveyor...
Lorenzo operates a brushless car wash. Incoming cars are put on
an automatic, continuously moving conveyor belt. A car is washed as
the conveyor belt carries it from the start station to the finish
station. After the car moves off the conveyor belt, workers dry it
and clean and vacuum the inside. Workers are managed by a single
supervisor.
Lorenzo's accountant wants to estimate total costs in October, when
9,350 cars are expected to be washed. She uses two different...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- The following are the monthly rates of return for Madison Cookies and for Sophie Electric during...
- 1.) Think back to August 6, 1945. The United States has just dropped an atomic weapon...
- Carry out the equipment and operating procedures between injection molding of thermoplastics and injection molding of...
- The cumulative timing approach was used to time a job and its elements. Use the following...
- absorption refection scattering refraction and diffraction can all have an impact on RF signal strength. Identify...
- This is my code I need to complete it? //The code package arraylists; import java.util.ArrayList; import...
- Organization management function at Tesla, and how can they improve the structure
ADVERTISEMENT