Course: Introduction to Statistics (Bus-172)Answer all the questions.Question: 1A car service center guarantees that the maximum waiting time for its customers is 20 minutesfor a cleaning service. It also guarantees that any customer who has to wait longer than 20minutes for this service will receive a discount on the charges. It is assumed that the mean waitingtime for all cars which waited for the cleaning service at this center is 16 minutes and the standarddeviation is 2.5 minutes. Suppose the time taken for the cleaning service by all cars follows anormal distribution.(a) What percentage of customers will have to wait between 14 to 18 minutes? Also, show therelevant area both under the normal curve including standard normal scale.(b) What is the probability that a randomly selected customer will have to wait more than 15minutes?(c) What percentage of customers will be eligible for the discount?Formulae:με μ, σεHp = p, Op =z =z =P - Hpz =

Answered: Image /qna-images/answer/8ae67bbb-7c7f-4f7f-8b19-4ee94b6305b8.jpg

Answered: A car service center guarantees that…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 3000 grams and a standard deviation of 1000 grams while babies born after a gestation period of 40 weeks have a mean weight of 3500 grams and a standard deviation of 545 grams. If a 35-week gestation period baby weighs 3300 grams and a 41-week gestation period baby weighs 3800 grams, find the corresponding z-scores. Which baby weighs more relative to the gestation period? ..... Find the corresponding z-scores. Which baby weighs relatively more? Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) A. The baby born in week 41 weighs relatively more since its z-score, is larger than the z-score of for the baby born in week 35. O B. The baby born in week 35 weighs relatively more since its z-score, is larger than the z-score of for the baby born in week 41. C. The baby born in week 41 weighs relatively more since its z-score, is…
Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2900 grams and a standard deviation of 900 grams while babies born after a gestation period of 40 weeks have a mean weight of 3400 grams and a standard deviation of 535 grams. If a 35-week gestation period baby weighs 3200 grams and a 40-week gestation period baby weighs 3700 grams, find the corresponding z-scores. Which baby weighs more relative to the gestation period? Find the corresponding z-scores. Which baby weighs relatively more? Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) A. The baby born in week 40 weighs relatively more since its z-score, baby born in week 35. B. The baby born in week 35 weighs relatively more since its z-score, baby born in week 40. C. The baby born in week 40 weighs relatively more since its z-score, baby born in week 35. D. The baby born in week 35 weighs relatively more since its z-score,…
Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2700 grams and a standard deviation of 600 grams while babies born after a gestation period of 40 weeks have a mean weight of 3200 grams and a standard deviation of 425 grams. If a 35-week gestation period baby weighs 2850 grams and a 41-week gestation period baby weighs 3350 grams, find the corresponding z-scores. Which baby weighs more relative to the gestation period?
Find the mean and standard deviation of the indicated sampling distribution of sample means. Then sketch a graph of the sampling distributions. The zloty is the official currency of Poland. During a recent period of two years the day ahead prices for a renewable energy in Poland have a mean of 158.51 and a standard deviation of 33.424. Random samples of size 100 are drawn from this population and the mean of each sample is determined
Suppose that the commuting time on a particular train is uniformly distributed between 35 and 55 minutes. What is the standard deviation of the commuting time?
Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2600 grams and a standard deviation of 600 grams while babies born after a gestation period of 40 weeks have a mean weight of 2900 grams and a standard deviation of 440 grams. If a 35-week gestation period baby weighs 2775 grams and a 40-week gestation period baby weighs 3075 grams, find the corresponding z-scores. Which baby weighs more relative to the gestation period? Find the corresponding z-scores. Which baby weighs relatively more? Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) A. The baby born in week 40 weighs relatively more since its z-score, is smaller than the z-score of for the baby born in week 35. B. The baby born in week 40 weighs relatively more since its z-score, is larger than the z-score of for the baby born in week 35. O C. The baby born in week 35 weighs relatively more since its z-score, is larger…
Suppose that the City of Chicago is interested in potential revenues if they introduce a tolling station near O'Hare. Further suppose that the average time between cars is only 3.0 seconds; what is the average value of the distribution?
Suppose that the quarterly sales levels among health care information systems companies are approximately normally distributed with a mean of 8 million dollars and a standard deviation of 1.3 million dollars. One health care information systems company considers a quarter a "failure" if its sales level that quarter is in the bottom 10% of all quarterly sales levels. Determine the sales level (in millions of dollars) that is the cutoff between quarters that are considered "failures" by that company and quarters that are not. Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place. 00 0 million dollars X S ? Check acer Q tab esc ! 1 9. a @ 2 W →> S #m 3 X e C d $ LAS 4 C r % 5 f t > < 6 g y & JX b 7 h C n K1300
According to the Center for Disease Control and Prevention (CDC), the mean life expectancy in 2015 for Hispanic females was 84.3 years. Assume that the standard deviation was 15 years, as suggested by the Bureau of Economic Research. The distribution of age at death,X, is not normal because it is skewed to the left. Nevertheless, the distribution of the mean x¯, in all possible samples of size ? is approximately normal if ? is large enough, by the central limit theorem. Let x¯ be the mean life expectancy in a sample of 100 Hispanic females. Determine the interval centered at the population mean ? such that 95% of sample means x¯ will fall in the interval. Give your answers precise to one decimal.
Suppose that the quarterly sales levels among health care information systems companies are approximately normally distributed with a mean of 8vmillion dollars and a standard deviation of 1.1million dollars. One health care information systems company considers a quarter a "failure" if its sales level that quarter is in the bottom 15%of all quarterly sales levels. Determine the sales level (in millions of dollars) that is the cutoff between quarters that are considered "failures" by that company and quarters that are not. Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place.
Suppose that Melanie is a researcher who wishes to estimate the mean birthweight of full-term babies in her hospital. What is the minimum number of babies should she sample if she wishes to be at least 90% confident that the mean birthweight of the sample is within 225 grams of the the mean birthweight of all babies? Assume that the distribution of birthweights at her hospital is normal with a standard deviation of 600 g.
Suppose that on a certain section of I-95, with a posted speed limit of 65 miles per hour, the speeds of all vehicles have a bell-shaped distribution with a mean of 72 mph and a standard deviation of 3 mph. Find the percentage of vehicles with the following speeds on this section of I-95: greater than 75 mph. Use the Empirical Rule. Suppose that on a certain section of I-95, with a posted speed limit of 65 miles per hour, the speeds of all vehicles have a bell-shaped distribution with a mean of 72 mph and a standard deviation of 3 mph. Find the percentage of vehicles with the following speeds on this section of I-95: greater than 75 mph. Use the Empirical Rule. 81.5% 16% 32% 34% 50%

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS