Question

The total amount of time it takes a JC Auto Repair mechanic to complete a full-service,...

The total amount of time it takes a JC Auto Repair mechanic to complete a full-service, 16-point oil change is distributed as a uniform random variable, ranging from 18 to 32 minutes.

What is the standard deviation of service time? Report your answer to 2 decimal places using conventional rounding rules.

ANSWER:

What is the probability that the amount of time to complete a full service, 16-point oil change will be less than 28 minutes? Report your answer to 4 decimal places using conventional rounding rules.

ANSWER:

What is the probability that the amount of time to complete a full service, 16-point oil change will be between 19 and 23 minutes? Report your answer to 4 decimal places using conventional rounding rules.

ANSWER:

What is the average amount of time to complete a full service, 16-point oil change at Grease Monkey? Report your answer to 2 decimal places using conventional rounding rules.

ANSWER:

Homework Answers

Answer #1

a)
Here, the given values of lower limit, a = 18 and upper limit, b = 32
For Uniform distribution,

Standard Deviation = sqrt((b - a)^2/12)
Standard Deviation = sqrt((32 - 18)^2/12 = 4.04

b)
For Uniform Distribution,
P(X <= x) = (x - a)/(b - a)
P(X <= 28) = (28 - 18)/(32 - 18)
P(X <= 28) = 0.7143

c)
For Uniform Distribution,
P(x1 <= X <= x2) = (x2 - x1)/(b - a)
P(19 <= X <= 23) = (23 - 19)/(32 - 18)
P(19 <= X <= 23) = 0.2857


d)
Mean = (a + b)/2
Mean = (18 + 32)/2 = 25

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The total amount of time it takes a JC Auto Repair mechanic to complete a full-service,...
The total amount of time it takes a JC Auto Repair mechanic to complete a full-service, 16-point oil change is distributed as a uniform random variable, ranging from 18 to 32 minutes. What is the standard deviation of service time? Report your answer to 2 decimal places using conventional rounding rules. ANSWER: What is the probability that the amount of time to complete a full service, 16-point oil change will be less than 28 minutes? Report your answer to 4...
Geico Insurance Company conducted a survey to determine the average amount of time their customers spend...
Geico Insurance Company conducted a survey to determine the average amount of time their customers spend waiting on hold when calling to speak to a customer service representative. Based on a simple random sample, they surveyed 58 customers. The statistics showed that customers spent an average of 7.86 minutes on hold, with a variance of 32.6. Calculate the standard error of the mean. Report your answer to 4 decimal places, using conventional rounding rules.
The owner of Nick's Heating & Cooling company believes that the average time to install a...
The owner of Nick's Heating & Cooling company believes that the average time to install a new blower motor on a residential furnace is 12.5 minutes. Assume that installation time is normally distributed, and that ? = 2.7 minutes. The company owner goes through the times for a random sample of 26 furnace blower motor installations, and finds that the average installation time was 11.44 minutes. Using a significance level of ? = .05, is the company owner’s belief correct?...
The owner of Luke's Cooling company believes that the average time to install a new blower...
The owner of Luke's Cooling company believes that the average time to install a new blower motor on a residential furnace is 12.5 minutes. Assume that installation time is normally distributed, and that ? = 2.7 minutes. The company owner goes through the times for a random sample of 26 furnace blower motor installations, and finds that the average installation time was 11.44 minutes. Using a significance level of ? = .05, is the company owner’s belief correct? Conduct a...
Two mechanics are changing oil filters for the arriving customers. The service time has an Exponential...
Two mechanics are changing oil filters for the arriving customers. The service time has an Exponential distribution with mean 12 minutes for the first mechanic, and mean 3 minutes for the second mechanic. When you arrive to have your oil filter changed, your probability of being served by the faster mechanic is 0.8. Use simulation to generate 10000 service times and estimate the mean service time for you. Using R code
The entire home mortgage process has several parts, including getting pre-approved, getting the home appraised, and...
The entire home mortgage process has several parts, including getting pre-approved, getting the home appraised, and getting the actual loan. According to a study conducted by Realtor.com, in a normal market, this process takes 30 days on average, with a standard deviation of 5.75 days. The number of days to complete the entire home mortgage process is normally distributed. a)The probability that a single mortgage loan selected at random will take less than 27 days to process is ______ (Report...
Speedway LLC is an American convenience store and gas station chain headquartered in Enon, Ohio, with...
Speedway LLC is an American convenience store and gas station chain headquartered in Enon, Ohio, with locations primarily in the Midwest and the East Coast regions of the United States. The amount of regular unleaded gasoline sold at the Speedway gas station in Macedonia, OH is distributed as a uniform random variable between 1,200 and 3,450 gallons each day. What is the probability that this Speedway gas station will sell more than 2,000 gallons of regular unleaded gasoline today? ANSWER:  ....
A manufacturing company measures the weight of boxes before shipping them to the customers. The box...
A manufacturing company measures the weight of boxes before shipping them to the customers. The box weights have a population mean and standard deviation of 86 lbs. and 16 lbs. respectively. a. Based on a sample size of 64 boxes, the probability that the average weight of the boxes will exceed 90.3 lbs. is . Use only the appropriate formula and/or statistical table in your textbook to answer this question. Report your answer to 4 decimal places, using conventional rounding...
Using extensive data compiled from their manufacturing records, it has historically taken 16 minutes to complete...
Using extensive data compiled from their manufacturing records, it has historically taken 16 minutes to complete the assembly of each FC340M-VB fire extinguisher. ...recently retooled their production line in an attempt to improve the operation’s overall efficiency and assembly time. After the retooling was complete, the quality control inspector took a random sample of n = 25 FC340M-VB fire extinguishers from the new production line and took note of the amount of time it took to assemble each one. The...
Crain's Cleveland Business is one of Northeast Ohio's leading source of business news, analysis and commentary....
Crain's Cleveland Business is one of Northeast Ohio's leading source of business news, analysis and commentary. Crain’s Cleveland Business surveyed their readers and asked how each rated the quality of management and the reputation of the company for over 100 worldwide corporations. Both the quality of management and the reputation of the company were rated on an excellent, good, and fair categorical scale. Assume the sample data for 250 respondents below applies to this study. Company Reputation Quality of Management...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT