Applied Statistics in Business and Economics

5th Edition

ISBN: 9781259329050

Author: DOANE

Publisher: MCG

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Textbook Question

Chapter 7, Problem 79CE

Tire pressure monitoring systems (TPMS) warn the driver when the tire pressure of the vehicle is 25% below the target pressure. Suppose the target tire pressure of a certain car is 30 psi (pounds per square inch.) (a) At what psi will the TPMS trigger a warning for this car? (b) Suppose tire pressure is a normally distributed random variable with a standard deviation equal to 2 psi. If the car’s average tire pressure is on target what is the probability that the TPMS will trigger a warning? (c) The manufacturer’s recommended correct inflation range is 28 psi to 32 psi Assume the tires’ average psi is on target. If a tire on the car is inspected at random, what is the probability that the tire’s inflation is within the recommended range?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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Chapter 7 Solutions

Applied Statistics in Business and Economics

Ch. 7.1 - Flight 202 is departing Los Angeles. Is each...Ch. 7.1 - It is Saturday morning at Starbucks. Is each...Ch. 7.1 - Which of the following could not be probability...Ch. 7.1 - For a continuous PDF, why cant we sum the...Ch. 7.2 - Find the mean and standard deviation for each...Ch. 7.2 - Find each uniform continuous probability and...Ch. 7.2 - For a continuous uniform distribution, why is P(25...Ch. 7.2 - Assume the weight of a randomly chosen American...Ch. 7.3 - If all normal distributions have the same shape,...Ch. 7.3 - (a) At what x value does f (x) reach a maximum for...

Ch. 7.3 - State the Empirical Rule for a normal distribution...Ch. 7.3 - Discuss why you would or would not expect each of...Ch. 7.4 - Find the standard normal area for each of the...Ch. 7.4 - Find the standard normal area for each of the...Ch. 7.4 - Find the standard normal area for each of the...Ch. 7.4 - Find the standard normal area for each of the...Ch. 7.4 - Find the standard normal area for each of the...Ch. 7.4 - Bobs exam score was 2.17 standard deviations above...Ch. 7.4 - Joans finishing time for the Bolder Boulder 10K...Ch. 7.4 - Find the associated z-score for each of the...Ch. 7.4 - Prob. 21SE Ch. 7.4 - Find the associated z-score or scores that...Ch. 7.4 - Prob. 23SE Ch. 7.4 - High school students across the nation compete in...Ch. 7.4 - Prob. 25SE Ch. 7.4 - Daily output of Marathons Garyville, Lousiana,...Ch. 7.4 - Assume that the number of calories in a McDonalds...Ch. 7.4 - The weight of a miniature Tootsie Roll is normally...Ch. 7.4 - The pediatrics unit at Carver Hospital has 24...Ch. 7.4 - The cabin of a business jet has a cabin height 5...Ch. 7.4 - On January 1, 2011, a new standard for baseball...Ch. 7.4 - Last years freshman class at Big State University...Ch. 7.4 - The time required to verify and fill a common...Ch. 7.4 - The time required to cook a pizza at a...Ch. 7.4 - The weight of a McDonalds cheeseburger is normally...Ch. 7.4 - The weight of a small Starbucks coffee is a...Ch. 7.4 - The weights of newborn babies in Foxboro Hospital...Ch. 7.4 - The credit scores of 35-year-olds applying for a...Ch. 7.4 - The number of patients needing a bed at any point...Ch. 7.4 - A ski resort pays its part-time seasonal employees...Ch. 7.4 - The average cost of an IRS Form 1040 tax filing at...Ch. 7.4 - Use Excel to find each probability. a. P(X 110)...Ch. 7.4 - Use Excel to find each probability. a. P(80 X 10)...Ch. 7.4 - The weight of a small Starbucks coffee is a normal...Ch. 7.4 - A study found that the mean waiting time to see a...Ch. 7.4 - High-strength concrete is supposed to have a...Ch. 7.5 - The default rate on government-guaranteed student...Ch. 7.5 - In a certain store, there is a .03 probability...Ch. 7.5 - The probability is .90 that a vending machine in...Ch. 7.5 - When confronted with an in-flight medical...Ch. 7.5 - On average, 28 patients per hour arrive in the...Ch. 7.5 - For a large Internet service provider (ISP), web...Ch. 7.6 - In Santa Theresa, false alarms are received at the...Ch. 7.6 - Between 11 p.m. and midnight on Thursday night,...Ch. 7.6 - A passenger metal detector at Chicagos Midway...Ch. 7.6 - The Johnson family uses a propane gas grill for...Ch. 7.6 - At a certain Noodles Company restaurant,...Ch. 7.6 - The time it takes a ski patroller to respond to an...Ch. 7.6 - Between 11 p.m. and midnight on Thursday night,...Ch. 7.6 - The shoplifting sensor at a certain Best Buy exit...Ch. 7.6 - Between 2 a.m. and 4 a.m. at an all-night pizza...Ch. 7.6 - The mean life of a certain computer hard disk in...Ch. 7.7 - Suppose that the distribution of order sizes (in...Ch. 7.7 - Suppose that the distribution of oil prices (/bbl)...Ch. 7 - (a) Why does a point have zero probability in a...Ch. 7 - Define (a) parameter, (b) PDF, and (c) CDF.Ch. 7 - For the uniform distribution: (a) tell how many...Ch. 7 - For the normal distribution: (a) tell how many...Ch. 7 - Prob. 5CR Ch. 7 - (a) What is the transformation to standardize a...Ch. 7 - (a) Explain the difference between Appendix C-1...Ch. 7 - Write an example of each of the four normal...Ch. 7 - Prob. 9CR Ch. 7 - For the exponential distribution: (a) tell how...Ch. 7 - Prob. 11CR Ch. 7 - For the triangular distribution: (a) tell how many...Ch. 7 - Which of the following is a continuous random...Ch. 7 - Which of the following could be probability...Ch. 7 - Applicants for a night caretaker position arc...Ch. 7 - Passengers using New Yorks MetroCard system must...Ch. 7 - Discuss why you would or would not expect each of...Ch. 7 - Why might the following not be normally...Ch. 7 - Scores on a certain accounting exam were normally...Ch. 7 - Chlorine concentration in a municipal water supply...Ch. 7 - The weekly demand for Baked Lays potato chips at a...Ch. 7 - The weekly demand for Papa Chubbys pizzas on a...Ch. 7 - The amounts spent by customers at a Noodles ...Ch. 7 - The length of a Colorado brook trout is normally...Ch. 7 - The caffeine content of a cup of home-brewed...Ch. 7 - The fracture strength of a certain type of...Ch. 7 - Tire pressure monitoring systems (TPMS) warn the...Ch. 7 - In a certain microwave oven on the high power...Ch. 7 - Procyon Manufacturing produces tennis balls. Their...Ch. 7 - Shower temperature at the Oxnard Health Club...Ch. 7 - Tests show that, on average, the Li-ion Hitachi...Ch. 7 - The time it takes to give a man a shampoo and...Ch. 7 - The length of a time-out during a televised...Ch. 7 - If the weight (in grams) of cereal in a box of...Ch. 7 - Demand for residential electricity at 6:00 p.m. on...Ch. 7 - Jims systolic blood pressure is a random variable...Ch. 7 - A statistics exam was given. Calculate the...Ch. 7 - Are the following statements true or false?...Ch. 7 - John can take either of two routes (A or B) to LAX...Ch. 7 - The amount of fill in a half-liter (500 ml) soft...Ch. 7 - The length of a certain kind of Colorado brook...Ch. 7 - Times for a surgical procedure are normally...Ch. 7 - Prob. 95CE Ch. 7 - Among live deliveries, the probability of a twin...Ch. 7 - Nationwide, the probability that a rental car is...Ch. 7 - The probability of being in a car accident when...Ch. 7 - A multiple-choice exam has 100 questions. Each...Ch. 7 - The probability that a certain kind of flower seed...Ch. 7 - Prob. 101CE Ch. 7 - Prob. 102CE Ch. 7 - Prob. 103CE Ch. 7 - Automobile warranty claims for engine mount...Ch. 7 - Prob. 105CE Ch. 7 - Prob. 106CE Ch. 7 - The price (dollars per 1,000 board feet) of...Ch. 7 - Prob. 108CE Ch. 7 - Prob. 109CE Ch. 7 - (a) Write an Excel formula to generate a random...Ch. 7 - (a) Write an Excel formula to generate a random...Ch. 7 - On a police sergeants examination, the historical...Ch. 7 - Which type of probability (empirical, classical,...Ch. 7 - For the following contingency table, find (a) P(H ...Ch. 7 - If P(A) = .30, P(B) = .70, and P(A B) = .25, are...Ch. 7 - Prob. 4ERQ Ch. 7 - Which statement is true? Why not the others? a....Ch. 7 - Prob. 6ERQ Ch. 7 - Assuming independent arrivals with a mean of 2.5...Ch. 7 - If a random experiment whose success probability...Ch. 7 - In a random experiment with 50 independent trials...Ch. 7 - Prob. 10ERQ Ch. 7 - Prob. 11ERQ Ch. 7 - Prob. 12ERQ Ch. 7 - Prob. 13ERQ Ch. 7 - Prob. 14ERQ Ch. 7 - Prob. 15ERQ Ch. 7 - Prob. 16ERQ Ch. 7 - If arrivals follow a Poisson distribution with...Ch. 7 - In the previous problem, find (a) the 95th...Ch. 7 - Which statement is correct concerning the normal...Ch. 7 - Prob. 20ERQ

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Solution Summary: The author explains that the tire pressure monitoring system (TMPS) is used to warn a driver, if the vehicle's tires fall 25% below the target pressure.

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Chapter 7 Solutions