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Math Statistics Elementary Statistics with Formula Card

Government workers: The Bureau of Labor Statistics reported in 2013 that 16% of U.S. nonfarm workers are government employees. A random sample of 50 workers is drawn. Is it appropriate to use the normal approximation to find the probability that less than 20% of the individuals in the sample are government employees? if so, laid the probability. if not explain why not. A new sample of 90 workers is chosen. Find the probability that more than 20% of workers in this sample are government employees. Find the probability that the proportion of workers in the sample of 90 who are government employees is between 0.15 and 0.18. Find the probability that Less than 25% of workers in the sample of 90 are government employees. Would it be unusual if the proportion of government employees in the sample of 90 w greater than 0.25?

Government workers: The Bureau of Labor Statistics reported in 2013 that 16% of U.S. nonfarm workers are government employees. A random sample of 50 workers is drawn. Is it appropriate to use the normal approximation to find the probability that less than 20% of the individuals in the sample are government employees? if so, laid the probability. if not explain why not. A new sample of 90 workers is chosen. Find the probability that more than 20% of workers in this sample are government employees. Find the probability that the proportion of workers in the sample of 90 who are government employees is between 0.15 and 0.18. Find the probability that Less than 25% of workers in the sample of 90 are government employees. Would it be unusual if the proportion of government employees in the sample of 90 w greater than 0.25?

Solution Summary: The author explains how the normal approximation is used to find the probability that less than 20% of individuals are government employees.

Elementary Statistics with Formula Card

Elementary Statistics with Formula Card

2nd Edition

ISBN: 9781259345296

Author: William Navidi Prof., Barry Monk Professor

Publisher: McGraw-Hill Education

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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 7.4, Problem 19E

Government workers: The Bureau of Labor Statistics reported in 2013 that 16% of U.S. nonfarm workers are government employees. A random sample of 50 workers is drawn.

Is it appropriate to use the normal approximation to find the probability that less than 20% of the individuals in the sample are government employees? if so, laid the probability. if not explain why not.
A new sample of 90 workers is chosen. Find the probability that more than 20% of workers in this sample are government employees.
Find the probability that the proportion of workers in the sample of 90 who are government employees is between 0.15 and 0.18.
Find the probability that Less than 25% of workers in the sample of 90 are government employees.
Would it be unusual if the proportion of government employees in the sample of 90 w greater than 0.25?

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 7.4, Problem 18E

Chapter 7.4, Problem 20E

Chapter 7 Solutions

Elementary Statistics with Formula Card

Ch. 7.1 - In Exercises 9-14, fill in each blank with the...Ch. 7.1 - In Exercises 9-14, fill in each blank with the...Ch. 7.1 - In Exercises 9-14, fill in each blank with the...Ch. 7.1 - In Exercises 9-14, fill in each blank with the...Ch. 7.1 - In Exercises 9-14, fill in each blank with the...Ch. 7.1 - In Exercises 9-14, fill in each blank with the...Ch. 7.1 - Prob. 15E Ch. 7.1 - In Exercises 15-18, determine whether the...Ch. 7.1 - In Exercises 15-18, determine whether the...Ch. 7.1 - In Exercises 15-18, determine whether the...

Ch. 7.1 - The following figure is a probability density...Ch. 7.1 - The following figure is a probability density...Ch. 7.1 - Find each of the shaded areas under the standard...Ch. 7.1 - Find each of the shaded areas under the standard...Ch. 7.1 - Find the area under the standard normal curve to...Ch. 7.1 - Find the area under the standard normal curve to...Ch. 7.1 - Find the area under the standard normal curve to...Ch. 7.1 - Find the area under the standard normal curve to...Ch. 7.1 - Find the area under the standard normal curve that...Ch. 7.1 - Find the area under the standard normal curve that...Ch. 7.1 - Find the area under the standard normal curve that...Ch. 7.1 - Find the area under the standard normal curve that...Ch. 7.1 - Find the z-score for which the area to its left is...Ch. 7.1 - Find the z-score for which the area to its left is...Ch. 7.1 - Find the z-score for which the area to its left is...Ch. 7.1 - Find the z-score for which the area to its left is...Ch. 7.1 - Find the z-score for which the area to its right...Ch. 7.1 - Find the z-score for which the area to its right...Ch. 7.1 - Find the z-score for which the area to its right...Ch. 7.1 - Find the z-score for which the area to its right...Ch. 7.1 - Find the z-scores that bound the middle 50% of the...Ch. 7.1 - Find the z-scores that bound the middle 70% of the...Ch. 7.1 - Find the z-scores that bound the middle 80% of the...Ch. 7.1 - Find the z-scores that bound the middle 98% of the...Ch. 7.1 - Symmetry: The area under the standard normal curve...Ch. 7.1 - Symmetry: The area under the standard normal curve...Ch. 7.1 - Symmetry: The area under the standard normal curve...Ch. 7.1 - Prob. 46E Ch. 7.1 - Prob. 47E Ch. 7.1 - Prob. 48E Ch. 7.2 - In Exercises 9-10, fill in each blank with the...Ch. 7.2 - In Exercises 9-10, fill in each blank with the...Ch. 7.2 - Prob. 11E Ch. 7.2 - Prob. 12E Ch. 7.2 - Prob. 13E Ch. 7.2 - Prob. 14E Ch. 7.2 - Prob. 15E Ch. 7.2 - Prob. 16E Ch. 7.2 - A normal population has mean =20 and standard...Ch. 7.2 - A normal population has mean =9 and standard...Ch. 7.2 - A normal population has mean =25 and standard...Ch. 7.2 - A normal population has mean =61 and standard...Ch. 7.2 - A normal population has mean =47 and standard...Ch. 7.2 - A normal population has mean =35 and standard...Ch. 7.2 - A normal population has mean =12 and standard...Ch. 7.2 - A normal population has mean =56 and standard...Ch. 7.2 - A normal population has mean =46 and standard...Ch. 7.2 - A normal population has mean =71 and standard...Ch. 7.2 - Check your blood pressure: In a recent study, the...Ch. 7.2 - Baby weights: According to a recent National...Ch. 7.2 - Check your blood pressure: The Centers for Disease...Ch. 7.2 - Baby weights: The weight of male babies less than...Ch. 7.2 - Fish story: According to a report by the U.S. Fish...Ch. 7.2 - Big chickens: According to thepoultrysite.com: the...Ch. 7.2 - Fish story: The U.S. Fish and Wildlife Service...Ch. 7.2 - Big chickens: A report on thepoulttysite.com...Ch. 7.2 - Radon: Radon is a naturally occurring radioactive...Ch. 7.2 - Electric bills: According to the U.S. Energy...Ch. 7.2 - Radon: Assume that radon measurements are normally...Ch. 7.2 - Electric bills: The U.S. Energy Information Agency...Ch. 7.2 - Tire lifetimes: The lifetime of a certain type of...Ch. 7.2 - Tree heights: Cherry trees in a certain orchard...Ch. 7.2 - Tire lifetimes: The lifetime of a certain type of...Ch. 7.2 - Tree heights: Cherry trees in a certain orchard...Ch. 7.2 - How much is in that can? The volume of beverage in...Ch. 7.2 - How much do you study? A survey among freshmen at...Ch. 7.2 - How much is in that can? The volume of beverage in...Ch. 7.2 - How much do you study? A survey among freshmen at...Ch. 7.2 - Precision manufacturing: A process manufactures...Ch. 7.2 - Exam grades: Scores on a statistics final in a...Ch. 7.2 - Precision manufacturing: A process manufactures...Ch. 7.2 - Prob. 50E Ch. 7.2 - Tall men: Heights of men in a certain city are...Ch. 7.2 - Watch your speed: Speeds of automobiles on a...Ch. 7.2 - Contaminated wells: A study reported that the mean...Ch. 7.2 - Prob. 54E Ch. 7.2 - Exam scores: Scores on an exam were normally...Ch. 7.2 - Prob. 56E Ch. 7.3 - In Exercises 5 and 6, fill in each blank with the...Ch. 7.3 - In Exercises 5 and 6, fill in each blank with the...Ch. 7.3 - In Exercises 7 and 8, determine whether the...Ch. 7.3 - In Exercises 7 and 8, determine whether the...Ch. 7.3 - A sample of size 75 will be drawn from a...Ch. 7.3 - A sample of size 126 will be drawn from a...Ch. 7.3 - A sample of size 68 will be drawn from a...Ch. 7.3 - A sample of size 284 will be drawn from a...Ch. 7.3 - A sample of size 91 will be drawn from a...Ch. 7.3 - Prob. 14E Ch. 7.3 - A sample of sue 20 will be drawn from a population...Ch. 7.3 - A sample of size 42 will be drawn from a...Ch. 7.3 - A sample of size 5 will be drawn from a normal...Ch. 7.3 - A sample of size 15 will be drawn from a...Ch. 7.3 - Prob. 19E Ch. 7.3 - Prob. 20E Ch. 7.3 - Prob. 21E Ch. 7.3 - Watch your cholesterol: The National Health and...Ch. 7.3 - TV sets: A Nielsen Company report states that the...Ch. 7.3 - Prob. 24E Ch. 7.3 - Taxes: The Internal Revenue Service reports that...Ch. 7.3 - High-rent district: The Real Estate Group NY...Ch. 7.3 - Roller coaster ride: A roller coaster is being...Ch. 7.3 - Elevator ride: Engineers are designing a large...Ch. 7.3 - Annual income: The mean annual income for people...Ch. 7.3 - Going to work: An ABC News report stated that the...Ch. 7.3 - Eat our cereal: A cereal manufacturer claims that...Ch. 7.3 - Batters life: A battery manufacturer claims that...Ch. 7.3 - Prob. 33E Ch. 7.4 - In Exercises 5 and 6, fill in each blank with the...Ch. 7.4 - Prob. 6E Ch. 7.4 - In Exercises 7 and 8, determine whether the...Ch. 7.4 - Prob. 8E Ch. 7.4 - In Exercises 9-14, n is the sample size, p is the...Ch. 7.4 - In Exercises 9-14, n is the sample size, p is the...Ch. 7.4 - In Exercises 9-14, n is the sample size, p is the...Ch. 7.4 - Prob. 12E Ch. 7.4 - Prob. 13E Ch. 7.4 - Prob. 14E Ch. 7.4 - Coffee: The National Coffee Association reported...Ch. 7.4 - Smartphones: A new Research report indicated that...Ch. 7.4 - Student loans: The Institute for College Access...Ch. 7.4 - Prob. 18E Ch. 7.4 - Government workers: The Bureau of Labor Statistics...Ch. 7.4 - Working two jobs: The Bureau of Labor Statistics...Ch. 7.4 - Future scientists: Education professionals refer...Ch. 7.4 - Blood pressure: High blood pressure has been...Ch. 7.4 - Pay your taxes: According to the Internal Revenue...Ch. 7.4 - Weekly paycheck: The Bureau of Labor Statistics...Ch. 7.4 - Kidney transplants: The Health Resources and...Ch. 7.4 - Hows your new car? The General Social Survey...Ch. 7.4 - Flawless tiles: A new process has been designed to...Ch. 7.5 - In Exercises 5 and 6, fill in each blank with the...Ch. 7.5 - Prob. 6E Ch. 7.5 - Prob. 7E Ch. 7.5 - Prob. 8E Ch. 7.5 - Prob. 9E Ch. 7.5 - Prob. 10E Ch. 7.5 - Prob. 11E Ch. 7.5 - Prob. 12E Ch. 7.5 - Prob. 13E Ch. 7.5 - Prob. 14E Ch. 7.5 - Google it: According to a report of the Nielsen...Ch. 7.5 - Big babies: The Centers for Disease Control and...Ch. 7.5 - High blood pressure: The National Health and...Ch. 7.5 - Stress at work: In a poll conducted by the General...Ch. 7.5 - Prob. 19E Ch. 7.5 - Gardening: A gardener buys a package of seeds....Ch. 7.5 - The car is in the shop: Among automobiles of a...Ch. 7.5 - Genetics: Pea plants contain two genes for seed...Ch. 7.5 - Prob. 23E Ch. 7.5 - Prob. 24E Ch. 7.5 - Prob. 25E Ch. 7.6 - In Exercise 7, fill in each blank with the...Ch. 7.6 - Prob. 8E Ch. 7.6 - Prob. 9E Ch. 7.6 - Prob. 10E Ch. 7.6 - Prob. 11E Ch. 7.6 - Prob. 12E Ch. 7.6 - Prob. 13E Ch. 7.6 - The following histogram illustrates a sample. Is...Ch. 7.6 - Prob. 15E Ch. 7.6 - Prob. 16E Ch. 7.6 - Prob. 17E Ch. 7.6 - Prob. 18E Ch. 7.6 - Drug concentrations: A sample of 10 people...Ch. 7.6 - Reading scores: A random sample of eight...Ch. 7.6 - Prob. 21E Ch. 7.6 - Impure cans: A manufacturer of aluminum cans...Ch. 7.6 - Prob. 23E Ch. 7.6 - Prob. 24E Ch. 7.6 - Prob. 25E Ch. 7.6 - Prob. 26E Ch. 7.6 - Prob. 27E Ch. 7.6 - Prob. 28E Ch. 7.6 - Prob. 29E Ch. 7.6 - Prob. 30E Ch. 7.6 - Prob. 31E Ch. 7.6 - Prob. 32E Ch. 7 - Prob. 1CQ Ch. 7 - Find the area under the standard normal curve To...Ch. 7 - Find the z-score that has An area of 0.33 to its...Ch. 7 - Find the z-scores that bound the middle 80% of the...Ch. 7 - Find z0.15.Ch. 7 - Suppose that salaries of recent graduates from a...Ch. 7 - A normal population has mean =242 and standard...Ch. 7 - Suppose that in a bowling league, the scores among...Ch. 7 - State the Central Limit Theorem.Ch. 7 - A population has mean =193 and standard deviation...Ch. 7 - The running time for videos submitted to YouTube...Ch. 7 - A sample of size n=55 is drawn from a population...Ch. 7 - Prob. 13CQ Ch. 7 - Prob. 14CQ Ch. 7 - Prob. 15CQ Ch. 7 - Find the area: Find the area under the standard...Ch. 7 - Find the z-score: Find the z-score for which the...Ch. 7 - Your battery is dead: The lifetimes of a certain...Ch. 7 - Take your medicine: Medication used to treat a...Ch. 7 - Lightbulbs: The lifetime of lightbulbs has a mean...Ch. 7 - Prob. 6RE Ch. 7 - Pay your taxes: Among all the state income tax...Ch. 7 - Prob. 8RE Ch. 7 - Prob. 9RE Ch. 7 - Facebook: Eighty percent of the students at a...Ch. 7 - Prob. 11RE Ch. 7 - Prob. 12RE Ch. 7 - Prob. 13RE Ch. 7 - Prob. 14RE Ch. 7 - Prob. 15RE Ch. 7 - Explain why P(aXb) is equal to P(aXb) when X is a...Ch. 7 - Prob. 2WAI Ch. 7 - Prob. 3WAI Ch. 7 - Suppose that in a large class, the instructor...Ch. 7 - Prob. 5WAI Ch. 7 - Prob. 6WAI Ch. 7 - Prob. 7WAI Ch. 7 - Compute the sample mean x and the sample standard...Ch. 7 - Estimate the population mean g with X and the...Ch. 7 - The shipment will be accepted if we estimate that...Ch. 7 - A second shipment of cans is received. Ten...Ch. 7 - Compute the sample mean x and the sample standard...Ch. 7 - Using the same method as for the first sample,...Ch. 7 - The shipment will be accepted if we estimate that...Ch. 7 - Make a boxplot of the pressures for the second...

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