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 standarddeviation of 2.5 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. Whatpercent of customers receive the service for half-price?(b) If the automotive center does not want to give the discount to more than 7% of its customers, how long should it make the guaranteed time limit?Click here to view the standard normal distribution table (page 1).Click here to view the standard normal distribution table (page 2).(a) The percent of customers that receive the service for half-price is(Round to two decimal places as needed.)%.

Let X denotes the time required for an automotive center to complete an oil change service on an…

Answered: The time required for an automotive…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose that the lengths of pregnancies are normally distributed with a mean of 271 days and a standard deviation of 10 days. find the percentage of pregnancies that are longer than 254 days. For your intermediate computations, use four or more decimal places. Give your final answer to two decimal places (for example 98.23%).
Times for a surgical procedure are normally distributed. There are two methods. Method A has a mean of 35 minutes and a standard deviation of 3 minutes, while method B has a mean of 39 minutes and a standard deviation of 1.5 minutes. Which procedure is preferred if the procedure must be completed within 34 minutes? Which procedure is preferred if the procedure must be completed within 40.0 minutes? Which procedure is preferred if the procedure must be completed within 43 minutes?
A patient is classified as having gestational diabetes if their glucose level is above 144 milligrams per deciliter (mg/dl) one hour after a sugary drink is ingested. Rebecca's doctor is concerned that she may suffer from gestational diabetes. There is variation both in the actual glucose level and in the blood test that measures the level. Rebecca's measured glucose level one hour after ingesting the sugary drink varies according to the Normal distribution with µ= 146 mg/dl and o = 4 mg/dl. What is the probability of Rebecca being diagnosed with gestational diabetes if her glucose level is measured: (a) 4 times CS Scanned with CamScanner
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?
The distribution for the time a patient of a medical center spends waiting for an appointment is normal with mean of 35 minutes and standard deviation of 12 minutes. What proportion of patients will wait more than 47 minutes for an appointment?
6979687#/Skip// The blue catfish (Ictalurus Furcatus) is the largest species of North American catfish. The current world record stands at 143 pounds, which was caught in the John H. Kerr Reservoir (Bugg's Island Lake) located in Virginia. According to American Expedition, the average weight of a blue catfish is between 20 to 40 pounds. Given that the largest blue catfish ever caught was at the John H. Kerr Reservoir, you believe that the mean weight of the fish in this reservoir is greater than 40 pounds. Use the data below, which represents the summary statistics for 50 blue catfish caught at this reservoir, and a 0.05 significance level to test the claim that the mean weight of the fish in the John H. Kerr Reservoir is greater than 40 pounds. n = 50; = 40.35 pounds; 8 = 2.8 pounds a) Identify the null and alternative hypotheses? Ho: ? v H1: ? v b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? O left-tailed O right-tailed O two-tailed c) Identify the…
The shape of the distribution of the time required to get an oil change at a 15-minute oil-change facility is unknown. However, records indicate that the mean time is 16.2 minutes, and the standard deviation is 4.9 minutes. Complete parts (a) through (c). (c) Suppose the manager agrees to pay each employee a $50 bonus if they meet a certain goal. On a typical Saturday, the oil-change facility will perform 35 oil changes between 10 A.M. and 12 P.M. Treating this as a random sample, there would be a 10% chance of the mean oil-change time being at or below what value? This will be the goal established by the manager. There is a 10% chance of being at or below a mean oil-change time of _______ minutes? (Round to one decimal place as needed.)
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?
Assume that the time a student stays in school is normally distributed with a mean of 5 hours and a standard deviation of 0.5 hours. Every day, Ian stays in school for 5.5 hours. What proportion of student stays less than 5.5 hours?
If the weight of fertilizer in a 40-pound bag is normally distributed with a standard deviation of 0.5 pounds, what is the range of weights of bags of fertilizer within two standard deviations of the mean?
The mean for data set is 59, the standard deviation is 4, and the z- score is 0.03, what is the raw score ?
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?

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