10. The time required for an automotive center to complete an oil change service on an automobile approximately follows a normal distribution, with a mean of 19 minutes and a standard deviation of 3.5 minutes. (a) The automotive center guarantees customers that the service will take no longer than 20 minutes. If it does take longer, the customer will receive the service for half-price. What percent of customers receive the service for half-price? (b) If the automotive center does not want to give the discount to more than 3% of its customers, how long should it make the guaranteed time limit? Click the icon to view a table of areas under the normal curve. (a) The percent of customers that receive the service for half-price is (Round to two decimal places as needed.) %. (b) The guaranteed time limit is minutes. (Round up to the nearest minute.)

10. The time required for an automotive center to complete an oil change service on an automobile approximately follows a normal distribution, with a mean of 19 minutes and a standard deviation of 3.5 minutes. (a) The automotive center guarantees customers that the service will take no longer than 20 minutes. If it does take longer, the customer will receive the service for half-price. What percent of customers receive the service for half-price? (b) If the automotive center does not want to give the discount to more than 3% of its customers, how long should it make the guaranteed time limit? Click the icon to view a table of areas under the normal curve. (a) The percent of customers that receive the service for half-price is (Round to two decimal places as needed.) %. (b) The guaranteed time limit is minutes. (Round up to the nearest minute.)

Name: 10. The time required for an automotive center to complete an oil cha
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: 10. The time required for an automotive center to complete an oil change service on an automobile approximately follows a normaldistribution, with a mean of 19 minutes and a standard deviation of 3.5 minutes.(a) The automotive center guarantees cust

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

1) The average amount of rainfall in Puerto Rico during the past month was 3.5 inches, according to the National Meteorology Center. Suppose that a normal distribution can be used and that the standard deviation is 0.8 inches. to. What percentage of the time last month's rainfall was greater than 4 inches? b. What percentage of the time was the rainfall less than 3 inches? c. A month is considered extremely wet if the rainfall is 10% higher for that month. How much rainfall must be in April for it to be considered an extremely wet month?
5. Old Faithful is a famous geyser at Yellowstone National Park. From a sample of 40 eruptions, the mean duration of Old Faithful eruptions is 3.7 minutes, and the standard deviation is 1.2 minutes. Find the percent of eruptions that have lasted from 1.3 minutes to 6.1 minutes.
3. The distribution of test scores in a class is unimodal and symmetric with a mean of 80 pts and a standard deviation of 7pts. Based on the information, Adam estimated that his score is higher than approximately 97.5% of the students in class. What score did Adam receive? Explain.
3. At a land farm, a farmer desired to test the effect of a given fertilizer on soybean production. He chose 24 plots of land of which are equal surface area. He treated 12 plots with the fertilizer and the others were untreated. Otherwise the conditions were the same. The treated plots produced soybean with mean yield 5.1 bushels and a standard deviation of 0.36 bushels, while the untreated plots had mean yield 4.8 bushels and a standard deviation of 0.40 bushels. (a) Can we conclude that there is a significant improvement in soybean production because of the fertilizer if a significance level of 1% is used? (b) What is the P-value of the test?
4. The cost of a daily newspaper varies from city to city. However, the variation among prices remains steady with a standard deviation of 18c. A study was done to test the claim that the mean cost of a daily newspaper is $1.00. Twelve costs yield a mean cost of 93¢ with a standard deviation of 17¢. Do the data support the claim at the 1% level?
Suppose that water usages in American showers are normally distributed, with an average shower using 20 gallons, and a standard deviation of 3.2 gallons. Estimate the percentage of showers that used (a) between 13.6 and 26.4 gallons. % (b) more than 26.4 gallons. % (c) less than 10.4 gallons. % (d) between 16.8 and 29.6 gallons. %
12. (Two Samples) According to a survey, the mean price of gasoline in the United States was $1.20 per gallon in 1995 and $1.10 per gallon in 1994. (U.S. News & World Report, June 12, 1995). Suppose these means were based on random samples of 100 gasoline stations for 1995 and 120 gasoline stations for 1994. Also, assume that the sample standard deviations were $0.11 for 1995 and $0.10 for 1994. a. Construct a 98% confidence interval for the difference between the mean gasoline prices for 1995 & 1994. b. Test at the 1% significance level if the mean gasoline price was higher in 1995 than in 1994.
15. The Exotic Fruit Juice Co. sell cartons of Passion Fruit and Orange fruit juice. The amount of liquid in each carton is normally distributed with a mean of 266ml and a standard deviation of 20ml. Cartons containing more than 300ml produce no profit. What percentage of cartons will this be?
According to the Empirical Rule, in a Normal Distribution of data you will have percent of the data within 1 standard deviation of the mean, percent of the data within 2 standard deviation of the mean, and percent of the data within 3 standard deviation of the mean.
1- Assume that the mean hourly cost to operate a commercial airplane follows a normal distribution with a mean of $2100 per hour and a standard deviation of $250. Determine the lowest 6% of the operating cost.
4. The cost of a daily newspaper varies from city to city. However, the variation among prices remains steady with a standard deviation of 18¢. A study was done to test the claim that the mean cost of a daily newspaper is $1.00. Twelve costs yield a mean cost of 93¢ with a standard deviation of 17¢. Do the data support the claim at the 1% level?
The items have a standard cost of $81/unit. The monthly demand for items is normally distributed with a mean of 220 and a standard deviation of 40. The annual holding rate is 23% and the ordering cost is $200/order. it takes 3 weeks to receive the ordered items from the supplier. (4 weeks in a month, 12 months in a year, 48 weeks per year) You have been ordering a quantity of 237 units every time the inventory level fall under 195 units. What is the average cycle stock considering your policy?