Mathematical Applications for the Management, Life, and Social Sciences

11th Edition

ISBN: 9781305108042

Author: Ronald J. Harshbarger, James J. Reynolds

Publisher: Cengage Learning

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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Textbook Question

Chapter 8.4, Problem 3CP

For the normal distribution with mean 70 and standard deviation 5, find the following probabilities.

(a) Pr(70 ≤ x ≤ 77 ) ( b ) Pr(68 ≤ x ≤ 73 ) ( c ) Pr( x > 75 )

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 8 Solutions

Mathematical Applications for the Management, Life, and Social Sciences

Ch. 8.1 - Determine whether the following experiments...Ch. 8.1 - Prob. 2CP Ch. 8.1 - Determine whether the following experiments...Ch. 8.1 - Prob. 4CP Ch. 8.1 - 1. Suppose a fair die is rolled 18 times. (a) What...Ch. 8.1 - 2. Suppose a fair coin is tossed 12 times. (a)...Ch. 8.1 - Prob. 3E Ch. 8.1 - Prob. 4E Ch. 8.1 - Prob. 5E Ch. 8.1 - Prob. 6E

Ch. 8.1 - Prob. 8E Ch. 8.1 - Prob. 9E Ch. 8.1 - Prob. 10E Ch. 8.1 - 11. Suppose a pair of dice is thrown 4 times. What...Ch. 8.1 - Prob. 12E Ch. 8.1 - 13. Suppose the probability that a marksman will...Ch. 8.1 - Prob. 14E Ch. 8.1 - Prob. 15E Ch. 8.1 - 16. Testing A multiple-choice test has 10...Ch. 8.1 - Management The manager of a store buys weather...Ch. 8.1 - Prob. 18E Ch. 8.1 - Prob. 19E Ch. 8.1 - Genetics If the probability that a certain couple...Ch. 8.1 - Prob. 21E Ch. 8.1 - 22. Employee benefits In a certain school...Ch. 8.1 - Prob. 23E Ch. 8.1 - Prob. 24E Ch. 8.1 - Prob. 25E Ch. 8.1 - Prob. 26E Ch. 8.1 - 27. Sports A baseball player has a lifetime...Ch. 8.1 - Prob. 28E Ch. 8.1 - Prob. 29E Ch. 8.1 - Prob. 30E Ch. 8.1 - 31. Testing A quiz consists of 10 multiple-choice...Ch. 8.1 - Prob. 32E Ch. 8.1 - Prob. 33E Ch. 8.2 - Prob. 1CP Ch. 8.2 - Prob. 2CP Ch. 8.2 - Prob. 3CP Ch. 8.2 - Prob. 4CP Ch. 8.2 - Prob. 1E Ch. 8.2 - Prob. 2E Ch. 8.2 - Prob. 3E Ch. 8.2 - Prob. 4E Ch. 8.2 - Prob. 5E Ch. 8.2 - Prob. 6E Ch. 8.2 - Prob. 7E Ch. 8.2 - Prob. 8E Ch. 8.2 - Prob. 9E Ch. 8.2 - Prob. 10E Ch. 8.2 - Prob. 11E Ch. 8.2 - Prob. 12E Ch. 8.2 - Prob. 13E Ch. 8.2 - Prob. 14E Ch. 8.2 - Prob. 15E Ch. 8.2 - Prob. 16E Ch. 8.2 - Prob. 17E Ch. 8.2 - Prob. 18E Ch. 8.2 - Prob. 19E Ch. 8.2 - Prob. 20E Ch. 8.2 - Prob. 21E Ch. 8.2 - Prob. 22E Ch. 8.2 - Prob. 23E Ch. 8.2 - Prob. 24E Ch. 8.2 - Prob. 25E Ch. 8.2 - Prob. 26E Ch. 8.2 - Prob. 27E Ch. 8.2 - Prob. 28E Ch. 8.2 - Prob. 29E Ch. 8.2 - Prob. 30E Ch. 8.2 - Prob. 31E Ch. 8.2 - Prob. 32E Ch. 8.2 - Prob. 33E Ch. 8.2 - Prob. 34E Ch. 8.2 - In Problems 33-36, find the mean and standard...Ch. 8.2 - Prob. 36E Ch. 8.2 - Prob. 38E Ch. 8.2 - Assume all data are sample data. 39. Cell phones...Ch. 8.2 - Prob. 40E Ch. 8.2 - Prob. 41E Ch. 8.2 - Prob. 42E Ch. 8.2 - Prob. 43E Ch. 8.2 - Prob. 45E Ch. 8.2 - Prob. 46E Ch. 8.2 - Prob. 50E Ch. 8.2 - Prob. 51E Ch. 8.2 - Prob. 52E Ch. 8.2 - Prob. 53E Ch. 8.2 - Prob. 54E Ch. 8.2 - Prob. 55E Ch. 8.2 - Prob. 56E Ch. 8.3 - 1. Consider a game in which you roll a the and...Ch. 8.3 - Prob. 2CP Ch. 8.3 - Prob. 3CP Ch. 8.3 - 4. A fair cube is colored so that 4 faces are...Ch. 8.3 - Prob. 1E Ch. 8.3 - Prob. 2E Ch. 8.3 - Prob. 3E Ch. 8.3 - Prob. 4E Ch. 8.3 - Prob. 5E Ch. 8.3 - Prob. 6E Ch. 8.3 - Prob. 7E Ch. 8.3 - Prob. 8E Ch. 8.3 - Prob. 9E Ch. 8.3 - Prob. 10E Ch. 8.3 - Prob. 11E Ch. 8.3 - Prob. 12E Ch. 8.3 - Prob. 13E Ch. 8.3 - Prob. 14E Ch. 8.3 - Prob. 15E Ch. 8.3 - Prob. 16E Ch. 8.3 - 17. Suppose an experiment has six possible...Ch. 8.3 - Prob. 18E Ch. 8.3 - 19. Five slips of paper containing the numbers 0,...Ch. 8.3 - Prob. 20E Ch. 8.3 - 21. A die is rolled 3 times, and success is...Ch. 8.3 - Prob. 22E Ch. 8.3 - Prob. 23E Ch. 8.3 - Prob. 24E Ch. 8.3 - Prob. 25E Ch. 8.3 - Prob. 26E Ch. 8.3 - 27. Suppose a pair of dice is thrown 900 times....Ch. 8.3 - Prob. 28E Ch. 8.3 - Prob. 29E Ch. 8.3 - 30. Expand Ch. 8.3 - Prob. 31E Ch. 8.3 - Prob. 32E Ch. 8.3 - Prob. 33E Ch. 8.3 - Prob. 34E Ch. 8.3 - Prob. 35E Ch. 8.3 - Prob. 36E Ch. 8.3 - 37. Raffle A nonprofit organization sells chances...Ch. 8.3 - 38. Lottery A charity sells raffle tickets for $1...Ch. 8.3 - 39. Gambling Suppose a student is offered a chance...Ch. 8.3 - Prob. 40E Ch. 8.3 - Prob. 41E Ch. 8.3 - Prob. 42E Ch. 8.3 - Prob. 43E Ch. 8.3 - Prob. 44E Ch. 8.3 - Prob. 45E Ch. 8.3 - Prob. 46E Ch. 8.3 - Prob. 47E Ch. 8.3 - 48. Cancer research Suppose it has been determined...Ch. 8.3 - Prob. 49E Ch. 8.3 - Prob. 50E Ch. 8.3 - Prob. 51E Ch. 8.3 - Prob. 52E Ch. 8.3 - Prob. 53E Ch. 8.3 - Prob. 54E Ch. 8.3 - 53. Quality control A certain calculator circuit...Ch. 8.3 - Prob. 56E Ch. 8.3 - Prob. 57E Ch. 8.3 - 56. Quality control The probability that a...Ch. 8.4 - 1. The mean of a normal distribution is 25, and...Ch. 8.4 - Prob. 2CP Ch. 8.4 - 3. For the normal distribution with mean 70 and...Ch. 8.4 - Prob. 1E Ch. 8.4 - Prob. 2E Ch. 8.4 - Prob. 3E Ch. 8.4 - Prob. 4E Ch. 8.4 - Prob. 5E Ch. 8.4 - Prob. 6E Ch. 8.4 - Prob. 7E Ch. 8.4 - Prob. 8E Ch. 8.4 - Prob. 9E Ch. 8.4 - Prob. 10E Ch. 8.4 - Prob. 11E Ch. 8.4 - Prob. 12E Ch. 8.4 - Prob. 13E Ch. 8.4 - Prob. 14E Ch. 8.4 - Prob. 15E Ch. 8.4 - Prob. 16E Ch. 8.4 - Prob. 17E Ch. 8.4 - Prob. 18E Ch. 8.4 - Suppose a population of scores x is normally...Ch. 8.4 - Prob. 20E Ch. 8.4 - Prob. 21E Ch. 8.4 - Prob. 22E Ch. 8.4 - Prob. 23E Ch. 8.4 - Prob. 24E Ch. 8.4 - Prob. 25E Ch. 8.4 - Prob. 26E Ch. 8.4 - Prob. 27E Ch. 8.4 - 28. Find the number A that satisfies for the...Ch. 8.4 - Prob. 29E Ch. 8.4 - Prob. 30E Ch. 8.4 - 31. Growth The Fish Commission states that the...Ch. 8.4 - Prob. 32E Ch. 8.4 - Prob. 33E Ch. 8.4 - 34. Mating calls The durations of the mating calls...Ch. 8.4 - Prob. 35E Ch. 8.4 - 36. Testing The Scholastic Aptitude Test (SAT)...Ch. 8.4 - 37. Mileage A certain model of automobile has its...Ch. 8.4 - Prob. 38E Ch. 8.4 - 39. Blood pressure Systolic blood pressure for a...Ch. 8.4 - Prob. 40E Ch. 8.4 - Prob. 41E Ch. 8.4 - Prob. 42E Ch. 8.4 - Prob. 43E Ch. 8.4 - Prob. 44E Ch. 8.4 - Prob. 45E Ch. 8.4 - Prob. 46E Ch. 8.4 - Prob. 47E Ch. 8.5 - Prob. 1CP Ch. 8.5 - Prob. 2CP Ch. 8.5 - Prob. 1E Ch. 8.5 - Prob. 2E Ch. 8.5 - Prob. 3E Ch. 8.5 - Prob. 4E Ch. 8.5 - For the binomial experiments in Problems 5-18,...Ch. 8.5 - Prob. 6E Ch. 8.5 - Prob. 7E Ch. 8.5 - Prob. 8E Ch. 8.5 - Prob. 9E Ch. 8.5 - Prob. 10E Ch. 8.5 - Prob. 11E Ch. 8.5 - For the binomial experiments in Problems 5-18,...Ch. 8.5 - Prob. 13E Ch. 8.5 - Prob. 14E Ch. 8.5 - Prob. 15E Ch. 8.5 - Prob. 16E Ch. 8.5 - Prob. 17E Ch. 8.5 - Prob. 18E Ch. 8.5 - Prob. 19E Ch. 8.5 - Prob. 20E Ch. 8.5 - Prob. 21E Ch. 8.5 - Prob. 22E Ch. 8.5 - Prob. 23E Ch. 8.5 - Prob. 24E Ch. 8.5 - Prob. 25E Ch. 8.5 - Prob. 26E Ch. 8.5 - Prob. 27E Ch. 8.5 - Prob. 28E Ch. 8.5 - Prob. 29E Ch. 8.5 - In the following problems, use a normal...Ch. 8.5 - Prob. 31E Ch. 8.5 - Prob. 32E Ch. 8.5 - Prob. 33E Ch. 8.5 - Prob. 34E Ch. 8.5 - Prob. 35E Ch. 8.5 - Prob. 36E Ch. 8.5 - Prob. 37E Ch. 8.5 - Prob. 38E Ch. 8 - 1. If the probability of success on each trial of...Ch. 8 - Prob. 2RE Ch. 8 - 3. If a die is rolled 4 times, what is the...Ch. 8 - Prob. 4RE Ch. 8 - Prob. 5RE Ch. 8 - Prob. 6RE Ch. 8 - Prob. 7RE Ch. 8 - Prob. 8RE Ch. 8 - Prob. 9RE Ch. 8 - Prob. 10RE Ch. 8 - Prob. 11RE Ch. 8 - Prob. 12RE Ch. 8 - Prob. 13RE Ch. 8 - Prob. 14RE Ch. 8 - Determine whether each function or table in...Ch. 8 - Prob. 16RE Ch. 8 - Prob. 17RE Ch. 8 - Prob. 18RE Ch. 8 - Prob. 19RE Ch. 8 - Prob. 20RE Ch. 8 - Prob. 21RE Ch. 8 - Prob. 22RE Ch. 8 - Prob. 23RE Ch. 8 - Prob. 24RE Ch. 8 - Prob. 25RE Ch. 8 - Prob. 26RE Ch. 8 - Prob. 27RE Ch. 8 - Prob. 28RE Ch. 8 - Prob. 29RE Ch. 8 - Prob. 30RE Ch. 8 - Prob. 31RE Ch. 8 - Prob. 32RE Ch. 8 - Prob. 33RE Ch. 8 - Prob. 34RE Ch. 8 - Prob. 35RE Ch. 8 - Prob. 36RE Ch. 8 - Prob. 37RE Ch. 8 - Prob. 38RE Ch. 8 - 39. Sampling Suppose of a population opposes a...Ch. 8 - Prob. 40RE Ch. 8 - 41. Disease One person in 100,000 develops a...Ch. 8 - Prob. 42RE Ch. 8 - Prob. 43RE Ch. 8 - Prob. 44RE Ch. 8 - Prob. 45RE Ch. 8 - 46. Fraud A company selling substandard drugs to...Ch. 8 - Prob. 47RE Ch. 8 - Prob. 48RE Ch. 8 - Prob. 49RE Ch. 8 - Prob. 50RE Ch. 8 - 51. Net worth Suppose the mean net worth of the...Ch. 8 - 52. Testing The length of time it takes to...Ch. 8 - Prob. 53RE Ch. 8 - Prob. 54RE Ch. 8 - Prob. 55RE Ch. 8 - Prob. 56RE Ch. 8 - Prob. 1T Ch. 8 - Prob. 2T Ch. 8 - Prob. 3T Ch. 8 - Prob. 4T Ch. 8 - Prob. 5T Ch. 8 - Prob. 6T Ch. 8 - 7. If the variable x is normally distributed, with...Ch. 8 - Prob. 8T Ch. 8 - Prob. 9T Ch. 8 - Prob. 10T Ch. 8 - Prob. 11T Ch. 8 - Prob. 12T Ch. 8 - Prob. 13T Ch. 8 - Prob. 14T Ch. 8 - Prob. 15T Ch. 8 - Prob. 16T Ch. 8 - Prob. 17T Ch. 8 - Prob. 18T Ch. 8 - Prob. 19T Ch. 8 - Prob. 20T Ch. 8 - Prob. 21T Ch. 8 - Prob. 1EAGP1

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For the normal distribution with mean 70 and standard deviation 5, find the following probabilities. (a) Pr(70 ≤ x ≤ 77 ) ( b ) Pr(68 ≤ x ≤ 73 ) ( c ) Pr( x &gt; 75 )

Solution Summary: The author calculates the value of probability mathrmPrleft for the normal distribution where the mean and standard deviation of the binomial distribution are 70 and 5 respectively.

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Chapter 8 Solutions

For the normal distribution with mean 70 and standard deviation 5, find the following probabilities. (a) Pr(70 ≤ x ≤ 77 ) ( b ) Pr(68 ≤ x ≤ 73 ) ( c ) Pr( x > 75 )