Statistics for Business & Economics, Revised (with XLSTAT Education Edition Printed Access Card)
13th Edition
ISBN: 9781337094160
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran
Publisher: Cengage Learning
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Textbook Question
Chapter 7, Problem 49SE
A production process is checked periodically by a quality control inspector. The inspector selects simple random samples of 30 finished products and computes the sample
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Question 3
The following stem-and-leaf displays the weekly salary of employees at this firm.
Stem-and-Leaf Display
Leaf Unit = 10.0
N=x
5
3 00123
12 4 0125888
(y)
5 11234456777
z
6 13568
5
7 154
2
8 46
i.
Determine the value of x, y and z.
[3]
ii. What is the value of the median?
[2]
iii.
Find the mode of this data set.
iv.
Calculate the range
[1]
[2]
Let Y be a continuous RV with PDF
otherwise
Find the CDF, Fry), of Y .
Find an expression for pth, p € (0, 1), quantile of the distribution.
Find E(Y) and V(Y).
Find E(-2Y + 1) and V(-3Y - 2).
Find E(Y3).
Let X be a continuous RV with CDF
Find P(X < 0), P(-1 < X < 1) and P(0.5 < X).
Based on your answers to the above questions, what is the median of the distribu-tion? Why
Find the PDF, fx (x), of X.
Chapter 7 Solutions
Statistics for Business & Economics, Revised (with XLSTAT Education Edition Printed Access Card)
Ch. 7.2 - Consider a finite population with five elements...Ch. 7.2 - Assume a finite population has 350 elements. Using...Ch. 7.2 - Fortune publishes data on sales, profits, assets,...Ch. 7.2 - The 10 most active stocks on the New York Stock...Ch. 7.2 - A student government organization is interested in...Ch. 7.2 - The County and City Data Book, published by the...Ch. 7.2 - Assume that we want to identify a simple random...Ch. 7.2 - The following stocks make up the Dow Jones...Ch. 7.2 - The Wall Street Journal provides the net asset...Ch. 7.2 - Indicate which of the following situations involve...
Ch. 7.3 - The following data are from a simple random...Ch. 7.3 - A survey question for a sample of 150 individuals...Ch. 7.3 - A sample of 5 months of sales data provided the...Ch. 7.3 - Morningstar publishes ratings data on 1208 company...Ch. 7.3 - The National Football League (NFL) polls fans to...Ch. 7.3 - A sample of 426 U.S. adults age 50 and older were...Ch. 7.3 - One of the questions in the Pew Internet American...Ch. 7.5 - A population has a mean of 200 and a standard...Ch. 7.5 - A population has a mean of 200 and a standard...Ch. 7.5 - Assume the population standard deviation is = 25....Ch. 7.5 - Suppose a random sample of size 50 is selected...Ch. 7.5 - Refer to the EAI sampling problem. Suppose a...Ch. 7.5 - In the EAI sampling problem (see Figure 7.5), we...Ch. 7.5 - Barrons reported that the average number of weeks...Ch. 7.5 - The College Board reported the following mean...Ch. 7.5 - For the year 2010, 33% of taxpayers with adjusted...Ch. 7.5 - The Economic Policy Institute periodically issues...Ch. 7.5 - The state of California has a mean annual rainfall...Ch. 7.5 - The mean preparation fee HR Block charged retail...Ch. 7.5 - To estimate the mean age for a population of 4000...Ch. 7.6 - A sample of size 100 is selected from a population...Ch. 7.6 - A population proportion is .40. A sample of size...Ch. 7.6 - Assume that the population proportion is .55....Ch. 7.6 - The population proportion is .30. What is the...Ch. 7.6 - The president of Doerman Distributors, Inc.,...Ch. 7.6 - The Wall Street Journal reported that the age at...Ch. 7.6 - People end up tossing 12% of what they buy at the...Ch. 7.6 - Forty-two percent of primary care doctors think...Ch. 7.6 - In 2008 the Better Business Bureau settled 75% of...Ch. 7.6 - The Grocery Manufacturers of America reported that...Ch. 7.6 - The Food Marketing Institute shows that 17% of...Ch. 7 - Jack Lawler, a financial analyst, wants to prepare...Ch. 7 - The latest available data showed health...Ch. 7 - Foot Locker uses sales per square foot as a...Ch. 7 - Allegiant Airlines charges a mean base fare of 89....Ch. 7 - After deducting grants based on need, the average...Ch. 7 - Three firms carry inventories that differ in size....Ch. 7 - A researcher reports survey results by stating...Ch. 7 - A production process is checked periodically by a...Ch. 7 - Fifteen percent of Australians smoke. By...Ch. 7 - A market research firm conducts telephone surveys...Ch. 7 - Advertisers contract with Internet service...Ch. 7 - The proportion of individuals insured by the...Ch. 7 - Lori Jeffrey is a successful sales representative...Ch. 7 - Managerial Report Prepare a managerial report that...
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- A survey of 581 citizens found that 313 of them favor a new bill introduced by the city. We want to find a 95% confidence interval for the true proportion of the population who favor the bill. What is the lower limit of the interval? Enter the result as a decimal rounded to 3 decimal digits. Your Answer:arrow_forwardLet X be a continuous RV with PDF where a > 0 and 0 > 0 are parameters. verify that f-∞ /x (x)dx = 1. Find the CDF, Fx (7), of X.arrow_forward6. [20] Let X be a continuous RV with PDF 2(1), 1≤x≤2 fx(x) = 0, otherwisearrow_forward
- A survey of 581 citizens found that 313 of them favor a new bill introduced by the city. We want to find a 95% confidence interval for the true proportion of the population who favor the bill. What is the lower limit of the interval? Enter the result as a decimal rounded to 3 decimal digits. Your Answer:arrow_forwardA survey of 581 citizens found that 313 of them favor a new bill introduced by the city. We want to find a 95% confidence interval for the true proportion of the population who favor the bill. What is the lower limit of the interval? Enter the result as a decimal rounded to 3 decimal digits. Your Answer:arrow_forward2. The SMSA data consisting of 141 observations on 10 variables is fitted by the model below: 1 y = Bo+B1x4 + ẞ2x6 + ẞ3x8 + √1X4X8 + V2X6X8 + €. See Question 2, Tutorial 3 for the meaning of the variables in the above model. The following results are obtained: Estimate Std. Error t value Pr(>|t|) (Intercept) 1.302e+03 4.320e+02 3.015 0.00307 x4 x6 x8 x4:x8 x6:x8 -1.442e+02 2.056e+01 -7.013 1.02e-10 6.340e-01 6.099e+00 0.104 0.91737 -9.455e-02 5.802e-02 -1.630 0.10550 2.882e-02 2.589e-03 11.132 1.673e-03 7.215e-04 2.319 F) x4 1 3486722 3486722 17.9286 4.214e-05 x6 1 14595537 x8 x4:x8 x6:x8 1 132.4836 < 2.2e-16 1045693 194478 5.3769 0.02191 1 1198603043 1198603043 6163.1900 < 2.2e-16 1 25765100 25765100 1045693 Residuals 135 26254490 Estimated variance matrix (Intercept) x4 x6 x8 x4:x8 x6:x8 (Intercept) x4 x6 x8 x4:x8 x6:x8 0.18875694 1.866030e+05 -5.931735e+03 -2.322825e+03 -16.25142055 0.57188953 -5.931735e+03 4.228816e+02 3.160915e+01 0.61621781 -0.03608028 -0.00445013 -2.322825e+03…arrow_forward
- In some applications the distribution of a discrete RV, X resembles the Poisson distribution except that 0 is not a possible value of X. Consider such a RV with PMF where 1 > 0 is a parameter, and c is a constant. (a) Find the expression of c in terms of 1. (b) Find E(X). (Hint: You can use the fact that, if Y ~ Poisson(1), the E(Y) = 1.)arrow_forwardSuppose that X ~Bin(n,p). Show that E[(1 - p)] = (1-p²)".arrow_forwardI need help with this problem and an explanation of the solution for the image described below. (Statistics: Engineering Probabilities)arrow_forward
- I need help with this problem and an explanation of the solution for the image described below. (Statistics: Engineering Probabilities)arrow_forwardThis exercise is based on the following data on four bodybuilding supplements. (Figures shown correspond to a single serving.) Creatine(grams) L-Glutamine(grams) BCAAs(grams) Cost($) Xtend(SciVation) 0 2.5 7 1.00 Gainz(MP Hardcore) 2 3 6 1.10 Strongevity(Bill Phillips) 2.5 1 0 1.20 Muscle Physique(EAS) 2 2 0 1.00 Your personal trainer suggests that you supplement with at least 10 grams of creatine, 39 grams of L-glutamine, and 90 grams of BCAAs each week. You are thinking of combining Xtend and Gainz to provide you with the required nutrients. How many servings of each should you combine to obtain a week's supply that meets your trainer's specifications at the least cost? (If an answer does not exist, enter DNE.) servings of xtend servings of gainzarrow_forwardI need help with this problem and an explanation of the solution for the image described below. (Statistics: Engineering Probabilities)arrow_forward
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