Statistics for Business and Economics (13th Edition)
13th Edition
ISBN: 9780134506593
Author: James T. McClave, P. George Benson, Terry Sincich
Publisher: PEARSON
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Textbook Question
Chapter 4.8, Problem 4.141ACB
Maintaining pipe wall temperature. Maintaining a constant pipe wall temperature in some hot-process applications is critical. A technique that utilizes bolt-on trace elements to maintain temperature was presented in the Journal of Heat Transfer (November 2000). Without bolt-on trace elements, the pipe wall temperature of a switch condenser used to produce plastic has a uniform distribution ranging from 260° to 290°F. When several bolt-on trace elements are attached to the piping, the wall temperature is uniform from 278° to 285°F.
- a. Ideally, the pipe wall temperature should
range between 280° and 284°F. What is theprobability that the temperature will fall in this ideal range when no bolt-on trace elements are used? When bolt-on trace elements are attached to the pipe? - b. When the temperature is 268°F or lower, the hot liquid plastic hardens (or plates), causing a buildup in the piping. What is the probability of plastic plating when no bolt-on trace elements are used? When bolt-on trace elements are attached to the pipe?
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The Turbine Oil Oxidation Test (TOST) and the Rotating Bomb Oxidation Test (RBOT) are two different procedures for evaluating the oxidation stability of steam turbine oils. An article reported the accompanying observations on x = TOST time (hr) and y = RBOT time (min) for 12 oil specimens.
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375
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205
TOST
4870
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380
285
220
345
290
(a) Calculate the value of the sample correlation coefficient. (Round your answer to four decimal places.)
r =
Carry out a test of hypotheses to decide whether RBOT Time and TOST time are linearly related. (Use
? = 0.05.)
Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.)
t
=
P-value
=
The Turbine Oil Oxidation Test (TOST) and the Rotating Bomb Oxidation Test (RBOT) are two different procedures for evaluating the oxidation stability of steam turbine oils. An article reported the accompanying observations for x = TOST time (hr) and y = RBOT time (min) for 12 oil specimens.
TOST
4200
3575
3750
3700
4050
2770
4870
4475
3450
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3325
RBOT
370
345
375
310
350
205
400
375
285
220
345
280
(a) Calculate the value of the sample correlation coefficient. (Round your answer to four decimal places.)r = Interpret the value of the sample correlation coefficient.
The value of r indicates that there is a strong, negative linear relationship between TOST and RBOT.The value of r indicates that there is a weak, positive linear relationship between TOST and RBOT. The value of r indicates that there is a strong, positive linear relationship between TOST and RBOT.The value of r indicates that there is a weak, negative…
Chapter 4 Solutions
Statistics for Business and Economics (13th Edition)
Ch. 4.1 - Types of random variables. Which of the following...Ch. 4.1 - Types of finance random variables. Security...Ch. 4.1 - NHTSA crash tests. Refer to the National Highway...Ch. 4.1 - Customers in line at a Subway shop. The number of...Ch. 4.1 - Executive pay. Refer to Glassdoor Economic...Ch. 4.1 - Banking. Give an example of a discrete random...Ch. 4.1 - Economics. Give an example of a continuous random...Ch. 4.1 - Hotel management. Give an example of a discrete...Ch. 4.1 - Retailing. Give two examples of discrete random...Ch. 4.1 - Stock market. Give an example of a continuous...
Ch. 4.2 - A discrete random variable x can assume five...Ch. 4.2 - The random variable x has the following discrete...Ch. 4.2 - A discrete random variable x can assume five...Ch. 4.2 - Explain why each of the following is or is not a...Ch. 4.2 - A die is tossed. Let x be the number of spots...Ch. 4.2 - Toss three fair coins and let x equal the number...Ch. 4.2 - Use the apple! Random Numbers to generate a list...Ch. 4.2 - Run the applet Simulating the Probability of a...Ch. 4.2 - Consider the probability distribution shown here:...Ch. 4.2 - Consider the probability distribution for the...Ch. 4.2 - Consider the probability distributions shown here:...Ch. 4.2 - Apps not working on smartphone. In a Pew Research...Ch. 4.2 - NHTSA crash tests. Refer to the NHTSA crash tests...Ch. 4.2 - Ages of dot-com employees. The age (in years)...Ch. 4.2 - Variable speed limit control for freeways. A...Ch. 4.2 - Choosing portable grill displays. Refer to the...Ch. 4.2 - Do social robots walk or roll? 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(52) c....Ch. 4.3 - Consider the following probability distribution:...Ch. 4.3 - Suppose x is a binomial random variable with n = 3...Ch. 4.3 - If x is a binomial random variable, compute p (x)...Ch. 4.3 - If x is a binomial random variable, use Table I in...Ch. 4.3 - If x is a binomial random variable, calculate , 2,...Ch. 4.3 - The binomial probability distribution is a family...Ch. 4.3 - Use the applets Simulating the Probability of a...Ch. 4.3 - Open the applet Sample from a Population. On the...Ch. 4.3 - Use the applet Simulating the Stock Market to...Ch. 4.3 - Working on summer vacation. Recall (Exercise 3.13,...Ch. 4.3 - Privacy and information sharing. Some grocery...Ch. 4.3 - Hotel guest satisfaction. Each year, J. D. Power...Ch. 4.3 - Physicians opinions on a career in medicine. The...Ch. 4.3 - Playing sports related to job pay. Does...Ch. 4.3 - Immediate feedback to incorrect exam answers....Ch. 4.3 - Fingerprint expertise. 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The reliability...Ch. 4.8 - Prob. 4.155ACACh. 4 - For each of the following examples, decide whether...Ch. 4 - Given that x is a binomial random variable,...Ch. 4 - Consider the discrete probability distribution...Ch. 4 - Suppose x is a binomial random variable with n =...Ch. 4 - Suppose x is a Poisson random variable. Compute p...Ch. 4 - Identify the type of random variablebinomial,...Ch. 4 - Prob. 4.162LMCh. 4 - Which of the following describe discrete random...Ch. 4 - Assume that x is a random variable best described...Ch. 4 - Find the following probabilities for the standard...Ch. 4 - Find a z-score, call it z0, such that a. P (z z0)...Ch. 4 - Identify the type of continuous random...Ch. 4 - Assume that x has an exponential distribution with...Ch. 4 - The random variable x has a normal distribution...Ch. 4 - Assume that x is a binomial random variable with n...Ch. 4 - The random variable x has a normal distribution...Ch. 4 - Analysis of bottled water. 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