The time required for an automotive center to complete an oil change service on an automobile approximately followsa normal distribution, with a mean of 19 minutes and a standard deviation of 3 minutes.(a) The automotive center guarantees customers that the service will take no longer than 20 minutes. If it doestake longer, the customer will receive the service for half-price. What percent of customers receive the servicefor half-price?(b) If the automotive center does not want to give the discount to more than 4% of its customers, how long should itmake 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.)an example Get more help.Clear allearch/Player.aspx?cultureld=&theme=math&style=highered&disableStandbyindicator=true&assignmentHandlesCheck answerLocale=true#t: 2Help2:04 PM4/21/2023

(a) The percent of customers receive the service for half-price is obtained below as follows:…

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 the exam average in a class is 55% with a standard deviation of 4. What proportion of students scored above 57%? Round to two places.
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
The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. Suppose a sample of 2552 tenth graders is drawn. Of the students sampled, 2119 read above the eighth grade level. Using the data, estimate the proportion of tenth graders reading at or below the eighth grade level. Enter your answer as a fraction or a decimal number rounded to three decimal places.
The average age of Amtrak passenger train cars is about 20 years. If the distribution of ages is normal and 10% of the cars are older than 24 years, find the the standard deviation.
Suppose that the quarterly sales levels among health care information systems companies are approximately normally distributed with a mean of 9 million dollars and a standard deviation of 1.4 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.
If a set of observations is normally distributed, what percent of these differ from the mean by (a) more than 2.50? (b) less than 0.640?
A normally distributed data set has a mean of 0 and the standard divitation of 2. What is the percent of valleys between -4.0 and 2.0?
A study reported that the mean concentration of ammonium in water wells in the state of Iowa was 0.71 milligram per liter, and the standard deviation was 1.09 milligrams per liter. Is it possible to determine whether these concentrations are approximately normally distributed. If so, say whether they are normally distributed, and explain how you know. If not, describe the additional information you would need to determine whether they are normally distributed.
The average monthly sales of 2500 firms are normally distributed with mean $30000 and standard deviation of $15000. Find the number of firms with sales below $35000.
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
In Professor Krugman’s economics course, the correlation between the students’ total scores prior to the final examination and their final‑examination scores is ?=0.5.r=0.5. The pre‑exam totals for all students in the course have mean 280280 and standard deviation 40.40. The final‑exam scores have mean 7575 and standard deviation 8.8. Professor Krugman has lost Julie’s ﬁnal exam but knows that her total before the exam was 300.300. He decides to predict her ﬁnal‑exam score from her pre‑exam total. (a) Which of the choices is the least‑squares regression line of ﬁnal‑exam scores on pre‑exam total scores in this course?
Suppose that you are designing an instrument panel for a large industrial machine. The machine requires the person using it to reach 2 feet from a particular position. The reach from this position for adult women is known to have a mean of 2.7 feet with a standard deviation of 0.5. The reach for adult men is known to have a mean of 3.1 feet with a standard deviation of 0.7. Both women's and men's reach from this position is normally distributed. If this design is implemented, (a) what percentage of women will not be able to work on this instrument panel? (b) What percentage of men will not be able to work on this instrument panel? (c) Explain your answers to a person who has never had a course in statistics. Click here to view page 1 of the table. Click here to view page 2 of the table. Click here to view page 3 of the table. Click here to view page 4 of the table.

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