Elementary Statistics ( 3rd International Edition ) Isbn:9781260092561
3rd Edition
ISBN: 9781259969454
Author: William Navidi Prof.; Barry Monk Professor
Publisher: McGraw-Hill Education
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Chapter 7, Problem 15RE
To determine
To find:
Whether it is reasonable to treat the given sample is from an approximately normal population.
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One hundred students were surveyed about their preference between dogs and cats. The following two-way table displays data for the sample of students who responded to the survey.
Preference
Male
Female
TOTAL
Prefers dogs
\[36\]
\[20\]
\[56\]
Prefers cats
\[10\]
\[26\]
\[36\]
No preference
\[2\]
\[6\]
\[8\]
TOTAL
\[48\]
\[52\]
\[100\]
problem 1
Find the probability that a randomly selected student prefers dogs.Enter your answer as a fraction or decimal.
\[P\left(\text{prefers dogs}\right)=\]
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Hide explanation
Preference
Male
Female
TOTAL
Prefers dogs
\[\blueD{36}\]
\[\blueD{20}\]
\[\blueE{56}\]
Prefers cats
\[10\]
\[26\]
\[36\]
No preference
\[2\]
\[6\]
\[8\]
TOTAL
\[48\]
\[52\]
\[100\]
There were \[\blueE{56}\] students in the sample who preferred dogs out of \[100\] total students.
Business discuss
You have been hired as an intern to run analyses on the data and report the results back to Sarah; the five questions that Sarah needs you to address are given below.
Does there appear to be a positive or negative relationship between price and screen size? Use a scatter plot to examine the relationship.
Determine and interpret the correlation coefficient between the two variables. In your interpretation, discuss the direction of the relationship (positive, negative, or zero relationship). Also discuss the strength of the relationship.
Estimate the relationship between screen size and price using a simple linear regression model and interpret the estimated coefficients. (In your interpretation, tell the dollar amount by which price will change for each unit of increase in screen size).
Include the manufacturer dummy variable (Samsung=1, 0 otherwise) and estimate the relationship between screen size, price and manufacturer dummy as a multiple linear regression model.
Interpret the…
Chapter 7 Solutions
Elementary Statistics ( 3rd International Edition ) Isbn:9781260092561
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. 15ECh. 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. 46ECh. 7.1 - Prob. 47ECh. 7.1 - Prob. 48ECh. 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. 11ECh. 7.2 - Prob. 12ECh. 7.2 - Prob. 13ECh. 7.2 - Prob. 14ECh. 7.2 - Prob. 15ECh. 7.2 - Prob. 16ECh. 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. 50ECh. 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. 54ECh. 7.2 - Exam scores: Scores on an exam were normally...Ch. 7.2 - Prob. 56ECh. 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. 14ECh. 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. 19ECh. 7.3 - Ages of winners: Following are the ages of the...Ch. 7.3 - Hows your mileage? The Environmental Protection...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. 24ECh. 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 - Prob. 31ECh. 7.3 - Prob. 32ECh. 7.3 - Prob. 33ECh. 7.3 - Battery life: A battery manufacturer claims that...Ch. 7.3 - Prob. 35ECh. 7.4 - In Exercises 5 and 6, fill in each blank with the...Ch. 7.4 - Prob. 6ECh. 7.4 - In Exercises 7 and 8, determine whether the...Ch. 7.4 - Prob. 8ECh. 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. 12ECh. 7.4 - Prob. 13ECh. 7.4 - Prob. 14ECh. 7.4 - Coffee: The National Coffee Association reported...Ch. 7.4 - Smartphones: A Pew Research report indicated that...Ch. 7.4 - Student loans: The Institute for College Access...Ch. 7.4 - High school graduates: The National Center for...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 - How many boys? There are two hospitals m a town....Ch. 7.4 - Prob. 28ECh. 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. 6ECh. 7.5 - Prob. 7ECh. 7.5 - Prob. 8ECh. 7.5 - Prob. 9ECh. 7.5 - Prob. 10ECh. 7.5 - Prob. 11ECh. 7.5 - Prob. 12ECh. 7.5 - Prob. 13ECh. 7.5 - Prob. 14ECh. 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. 19ECh. 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. 23ECh. 7.5 - Prob. 24ECh. 7.5 - Prob. 25ECh. 7.6 - In Exercise 7, fill in each blank with the...Ch. 7.6 - Prob. 8ECh. 7.6 - Prob. 9ECh. 7.6 - Prob. 10ECh. 7.6 - Prob. 11ECh. 7.6 - Prob. 12ECh. 7.6 - Prob. 13ECh. 7.6 - The following histogram illustrates a sample. Is...Ch. 7.6 - Prob. 15ECh. 7.6 - Prob. 16ECh. 7.6 - Prob. 17ECh. 7.6 - Prob. 18ECh. 7.6 - Drug concentrations: A sample of 10 people...Ch. 7.6 - Reading scores: A random sample of eight...Ch. 7.6 - Prob. 21ECh. 7.6 - Impure cans: A manufacturer of aluminum cans...Ch. 7.6 - Prob. 23ECh. 7.6 - Prob. 24ECh. 7.6 - Prob. 25ECh. 7.6 - Prob. 26ECh. 7.6 - Prob. 27ECh. 7.6 - Prob. 28ECh. 7.6 - Prob. 29ECh. 7.6 - Prob. 30ECh. 7.6 - Prob. 31ECh. 7.6 - Prob. 32ECh. 7 - Prob. 1CQCh. 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. 13CQCh. 7 - Prob. 14CQCh. 7 - Prob. 15CQCh. 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. 6RECh. 7 - Pay your taxes: Among all the state income tax...Ch. 7 - Prob. 8RECh. 7 - Prob. 9RECh. 7 - Facebook: Eighty percent of the students at a...Ch. 7 - Prob. 11RECh. 7 - Prob. 12RECh. 7 - Prob. 13RECh. 7 - Prob. 14RECh. 7 - Prob. 15RECh. 7 - Explain why P(aXb) is equal to P(aXb) when X is a...Ch. 7 - Prob. 2WAICh. 7 - Prob. 3WAICh. 7 - Suppose that in a large class, the instructor...Ch. 7 - Prob. 5WAICh. 7 - Prob. 6WAICh. 7 - Prob. 7WAICh. 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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- Does there appear to be a positive or negative relationship between price and screen size? Use a scatter plot to examine the relationship. How to take snapshots: if you use a MacBook, press Command+ Shift+4 to take snapshots. If you are using Windows, use the Snipping Tool to take snapshots. Question 1: Determine and interpret the correlation coefficient between the two variables. In your interpretation, discuss the direction of the relationship (positive, negative, or zero relationship). Also discuss the strength of the relationship. Value of correlation coefficient: Direction of the relationship (positive, negative, or zero relationship): Strength of the relationship (strong/moderate/weak): Question 2: Estimate the relationship between screen size and price using a simple linear regression model and interpret the estimated coefficients. In your interpretation, tell the dollar amount by which price will change for each unit of increase in screen size. (The answer for the…arrow_forwardIn this problem, we consider a Brownian motion (W+) t≥0. We consider a stock model (St)t>0 given (under the measure P) by d.St 0.03 St dt + 0.2 St dwt, with So 2. We assume that the interest rate is r = 0.06. The purpose of this problem is to price an option on this stock (which we name cubic put). This option is European-type, with maturity 3 months (i.e. T = 0.25 years), and payoff given by F = (8-5)+ (a) Write the Stochastic Differential Equation satisfied by (St) under the risk-neutral measure Q. (You don't need to prove it, simply give the answer.) (b) Give the price of a regular European put on (St) with maturity 3 months and strike K = 2. (c) Let X = S. Find the Stochastic Differential Equation satisfied by the process (Xt) under the measure Q. (d) Find an explicit expression for X₁ = S3 under measure Q. (e) Using the results above, find the price of the cubic put option mentioned above. (f) Is the price in (e) the same as in question (b)? (Explain why.)arrow_forwardProblem 4. Margrabe formula and the Greeks (20 pts) In the homework, we determined the Margrabe formula for the price of an option allowing you to swap an x-stock for a y-stock at time T. For stocks with initial values xo, yo, common volatility σ and correlation p, the formula was given by Fo=yo (d+)-x0Þ(d_), where In (±² Ꭲ d+ õ√T and σ = σ√√√2(1 - p). дго (a) We want to determine a "Greek" for ỡ on the option: find a formula for θα (b) Is дго θα positive or negative? (c) We consider a situation in which the correlation p between the two stocks increases: what can you say about the price Fo? (d) Assume that yo< xo and p = 1. What is the price of the option?arrow_forward
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