APPLIED STAT.IN BUS.+ECONOMICS
6th Edition
ISBN: 9781259957598
Author: DOANE
Publisher: RENT MCG
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Chapter 8.9, Problem 53SE
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Examine the Variables: Carefully review and note the names of all variables in the dataset. Examples of these variables include:
Mileage (mpg)
Number of Cylinders (cyl)
Displacement (disp)
Horsepower (hp)
Research: Google to understand these variables.
Statistical Analysis: Select mpg variable, and perform the following statistical tests. Once you are done with these tests using mpg variable, repeat the same with hp
Mean
Median
First Quartile (Q1)
Second Quartile (Q2)
Third Quartile (Q3)
Fourth Quartile (Q4)
10th Percentile
70th Percentile
Skewness
Kurtosis
Document Your Results:
In RStudio: Before running each statistical test, provide a heading in the format shown at the bottom. “# Mean of mileage – Your name’s command”
In Microsoft Word: Once you've completed all tests, take a screenshot of your results in RStudio and paste it into a Microsoft Word document. Make sure that snapshots are very clear. You will need multiple snapshots. Also transfer these results to the…
2 (VaR and ES) Suppose X1
are independent. Prove that
~
Unif[-0.5, 0.5] and X2
VaRa (X1X2) < VaRa(X1) + VaRa (X2).
~
Unif[-0.5, 0.5]
8 (Correlation and Diversification)
Assume we have two stocks, A and B, show that a particular combination
of the two stocks produce a risk-free portfolio when the correlation between
the return of A and B is -1.
Chapter 8 Solutions
APPLIED STAT.IN BUS.+ECONOMICS
Ch. 8.2 - Find the interval zn,+zn within which 90 percent...Ch. 8.2 - Find the interval zn,+zn within which 95 percent...Ch. 8.2 - The diameter of bushings turned out by a...Ch. 8.2 - Concerns about climate change and CO2 reduction...Ch. 8.3 - (a) Find the standard error of the mean for each...Ch. 8.3 - (a) Find the standard error of the mean for each...Ch. 8.3 - The fat content of a pouch of Keebler Right Bites...Ch. 8.3 - Prob. 8SECh. 8.4 - Construct a confidence interval for assuming that...Ch. 8.4 - Construct a confidence interval for assuming that...
Ch. 8.4 - Use the sample information x = 2.4, = 0.15, n = 9...Ch. 8.4 - Use the sample information x = 37, = 5, n = 15 to...Ch. 8.4 - A random sample of 25 items is drawn from a...Ch. 8.4 - A random sample of 100 items is drawn from a...Ch. 8.4 - Prob. 15SECh. 8.4 - Prob. 16SECh. 8.4 - The Ball Corporations beverage can manufacturing...Ch. 8.5 - Find a confidence interval for assuming that each...Ch. 8.5 - For each value of d.f. (degrees of freedom), look...Ch. 8.5 - For each value of d.f. (degrees of freedom), look...Ch. 8.5 - A random sample of 10 items is drawn from a...Ch. 8.5 - A random sample of 25 items is drawn from a...Ch. 8.5 - A sample of 21 minivan electrical warranty repairs...Ch. 8.5 - A random sample of 16 pharmacy customers showed...Ch. 8.5 - A random sample of monthly rent paid by 12 college...Ch. 8.5 - A random sample of 10 shipments of stick-on labels...Ch. 8.5 - Prof. Green gave three exams last semester. Scores...Ch. 8.6 - Calculate the standard error of the sample...Ch. 8.6 - Calculate the standard error of the sample...Ch. 8.6 - Should p be assumed normal? a. n = 200, = .02 b....Ch. 8.6 - Should p be assumed normal? a. n = 25, =.50 b. n...Ch. 8.6 - Find the margin of error for a poll, assuming that...Ch. 8.6 - A car dealer is taking a customer satisfaction...Ch. 8.6 - In a sample of 500 new websites registered on the...Ch. 8.6 - From a list of stock mutual funds, 52 funds were...Ch. 8.6 - Of 43 bank customers depositing a check, 18...Ch. 8.6 - A survey showed that 4.8 percent of the 250...Ch. 8.7 - Calculate the FPCF for each sample and population...Ch. 8.7 - Use the following informationx=50, = 15, n = 90,...Ch. 8.7 - Use the following informationx=3.7, s = 0.2, n =...Ch. 8.7 - A random survey of 500 students was conducted from...Ch. 8.8 - For each level of precision, find the required...Ch. 8.8 - Last year, a study showed that the average ATM...Ch. 8.8 - The EPA city/hwy mpg range for a Saturn Vue FWD...Ch. 8.8 - Popcorn kernels are believed to take between 100...Ch. 8.8 - Analysis showed that the mean arrival rate for...Ch. 8.8 - Noodles Company wants to estimate the mean...Ch. 8.8 - In an intra-squad swim competition, mens freestyle...Ch. 8.8 - Prob. 49SECh. 8.9 - What sample size would be required to estimate the...Ch. 8.9 - Prob. 51SECh. 8.9 - What sample size would be needed to estimate the...Ch. 8.9 - What sample size would be needed to estimate the...Ch. 8.9 - How large a sample size would be needed to...Ch. 8.9 - Inspection of a random sample of 19 aircraft...Ch. 8.10 - Find the 95 percent confidence interval for the...Ch. 8.10 - The weights of 20 oranges (in ounces) are shown...Ch. 8.10 - A pediatricians records showed the mean height of...Ch. 8.10 - Find the 90 percent confidence interval for the...Ch. 8 - Define (a) parameter, (b) estimator, (c) sampling...Ch. 8 - Explain the difference between sampling error and...Ch. 8 - Name three estimators. Which ones are unbiased?Ch. 8 - Explain what it means to say an estimator is (a)...Ch. 8 - State the main points of the Central Limit Theorem...Ch. 8 - Why is population shape of concern when estimating...Ch. 8 - (a) Define the standard error of the mean. (b)...Ch. 8 - Define (a) point estimate, (b) margin of error,...Ch. 8 - List some common confidence levels. What happens...Ch. 8 - List differences and similarities between Students...Ch. 8 - Give an example to show that (a) for a given...Ch. 8 - Why do outliers and skewed populations pose a...Ch. 8 - (a) State the Central Limit Theorem for a...Ch. 8 - (a) Define the standard error of the proportion....Ch. 8 - When would you use the FPCF and what does it do to...Ch. 8 - Prob. 16CRCh. 8 - When calculating a sample size for a proportion,...Ch. 8 - Why would we be interested in a confidence...Ch. 8 - A random sample of 30 lunch orders at Noodles ...Ch. 8 - A random sample of 21 nickels measured with a very...Ch. 8 - A random sample of 10 miniature Tootsie Rolls was...Ch. 8 - Statistics students were asked to go home and fill...Ch. 8 - A sample of 20 pages was taken without replacement...Ch. 8 - Twenty-five blood samples were selected by taking...Ch. 8 - A sample of 20 pages was taken from a Yellow Pages...Ch. 8 - Sixteen owners of 2010 Audi A4 sedans kept track...Ch. 8 - Twenty-five blood samples were selected by taking...Ch. 8 - Prob. 69CECh. 8 - Dave the jogger runs the same route every day...Ch. 8 - A pediatricians records showed the mean height of...Ch. 8 - A random sample of 10 exam scores showed a...Ch. 8 - A random sample of 30 lunch orders at Noodles ...Ch. 8 - During the Rose Bowl, the length (in seconds) of...Ch. 8 - A sample of 40 songs from a students iTunes...Ch. 8 - Prob. 76CECh. 8 - In a sample of 100 Planters Mixed Nuts, 19 were...Ch. 8 - A study showed that 14 of 180 publicly traded...Ch. 8 - How decaffeinated is decaffeinated coffee? If a...Ch. 8 - Noodles Company wants to estimate the percent of...Ch. 8 - Junior Achievement and Deloitte commissioned a...Ch. 8 - A random sample of 30 cans of Del Vino crushed...Ch. 8 - A poll of 125 college students who watch The Big...Ch. 8 - A survey of 4,581 U.S. households that owned a...Ch. 8 - A teen ethics poll was commissioned by Junior...Ch. 8 - Biting an unpopped kernel of popcorn hurts! As an...Ch. 8 - A sample of 213 newspaper tire ads from several...Ch. 8 - A physicians billing office conducted a random...Ch. 8 - Of 250 college students taking a statistics class,...Ch. 8 - (a) A poll of 2,277 likely voters was conducted on...Ch. 8 - To determine the proportion of taxpayers who...Ch. 8 - A sample of 40 songs from a students iTunes...Ch. 8 - Ouranos Resorts would like to send a survey to its...Ch. 8 - This is an exercise using Excel. (a) Use...
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- 9 (Portfolio allocation) Suppose R₁ and R2 are returns of 2 assets and with expected return and variance respectively r₁ and 72 and variance-covariance σ2, 0%½ and σ12. Find −∞ ≤ w ≤ ∞ such that the portfolio wR₁ + (1 - w) R₂ has the smallest risk.arrow_forward7 (Multivariate random variable) Suppose X, €1, €2, €3 are IID N(0, 1) and Y2 Y₁ = 0.2 0.8X + €1, Y₂ = 0.3 +0.7X+ €2, Y3 = 0.2 + 0.9X + €3. = (In models like this, X is called the common factors of Y₁, Y₂, Y3.) Y = (Y1, Y2, Y3). (a) Find E(Y) and cov(Y). (b) What can you observe from cov(Y). Writearrow_forward1 (VaR and ES) Suppose X ~ f(x) with 1+x, if 0> x > −1 f(x) = 1−x if 1 x > 0 Find VaRo.05 (X) and ES0.05 (X).arrow_forward
- Joy is making Christmas gifts. She has 6 1/12 feet of yarn and will need 4 1/4 to complete our project. How much yarn will she have left over compute this solution in two different ways arrow_forwardSolve for X. Explain each step. 2^2x • 2^-4=8arrow_forwardOne hundred people were surveyed, and one question pertained to their educational background. The results of this question and their genders are given in the following table. Female (F) Male (F′) Total College degree (D) 30 20 50 No college degree (D′) 30 20 50 Total 60 40 100 If a person is selected at random from those surveyed, find the probability of each of the following events.1. The person is female or has a college degree. Answer: equation editor Equation Editor 2. The person is male or does not have a college degree. Answer: equation editor Equation Editor 3. The person is female or does not have a college degree.arrow_forward
- At the same restaurant as in Question 19 with the same normal distribution, what's the chance of it taking no more than 15 minutes to get service?arrow_forwardClint, obviously not in college, sleeps an average of 8 hours per night with a standard deviation of 15 minutes. What's the chance of him sleeping between 7.5 and 8.5 hours on any given night? 0-(7-0) 200 91109s and doiw $20 (8-0) mol 8520 slang $199 galbrog seam side pide & D (newid se od poyesvig as PELEO PER AFTE editiw noudab temand van Czarrow_forwardTimes to complete a statistics exam have a normal distribution with a mean of 40 minutes and standard deviation of 6 minutes. Deshawn's time comes in at the 90th percentile. What percentage of the students are still working on their exams when Deshawn leaves?arrow_forward
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