Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)
6th Edition
ISBN: 9781337115186
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran
Publisher: Cengage Learning
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Chapter 3, Problem 70SE
a.
To determine
Find the
b.
To determine
Find the mean cost per night for a double room.
c.
To determine
Draw a
Comment on the association between the variables using number of rooms and the cost per night.
d.
To determine
Find and interpret the sample
Check whether or not the sample correlation coefficient is reasonable.
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16. Show that, if X and Y are independent random variables, such that E|X|< ∞,
and B is an arbitrary Borel set, then
EXI{Y B} = EX P(YE B).
Proposition 1.1 Suppose that X1, X2,... are random variables. The following
quantities are random variables:
(a) max{X1, X2) and min(X1, X2);
(b) sup, Xn and inf, Xn;
(c) lim sup∞ X
and lim inf∞ Xn-
(d) If Xn(w) converges for (almost) every w as n→ ∞, then lim-
random variable.
→ Xn is a
Exercise 4.2 Prove that, if A and B are independent, then so are A and B, Ac and
B, and A and B.
Chapter 3 Solutions
Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)
Ch. 3.1 - 1. Consider a sample with data values of 10, 20,...Ch. 3.1 - 2. Consider a sample with data values of 10, 20,...Ch. 3.1 - 3. Consider the following data and corresponding...Ch. 3.1 - Prob. 4ECh. 3.1 - Prob. 5ECh. 3.1 - Prob. 6ECh. 3.1 - 7. The average number of minutes Americans commute...Ch. 3.1 - Middle-Level Manager Salaries. Suppose that an...Ch. 3.1 - 9. Which companies spend the most money on...Ch. 3.1 - Advertising Spending. Which companies spend the...
Ch. 3.1 - Prob. 11ECh. 3.1 -
The Big Bang Theory, a situation comedy...Ch. 3.1 - Automobile Fuel Efficiencies. In automobile...Ch. 3.1 -
The data contained in the DATAfile named...Ch. 3.1 - 15. Martinez Auto Supplies has retail stores...Ch. 3.1 - 16. The grade point average for college students...Ch. 3.1 - 17. The following table shows the total return and...Ch. 3.1 - 18. Based on a survey of master’s programs in...Ch. 3.1 - Annual revenue for Corning Supplies grew by 5.5%...Ch. 3.1 - Suppose that at the beginning of Year 1 you...Ch. 3.1 - Prob. 21ECh. 3.1 - Prob. 22ECh. 3.2 - 23. Consider a sample with data values of 10, 20,...Ch. 3.2 - Prob. 24ECh. 3.2 - Consider a sample with data values of 27, 25, 20,...Ch. 3.2 - Price of Unleaded Gasoline. Data collected by the...Ch. 3.2 - Round-Trip Flight Prices. The following table...Ch. 3.2 -
The Australian Open is the first of the four...Ch. 3.2 - Air Quality Index. The Los Angeles Times regularly...Ch. 3.2 - Prob. 30ECh. 3.2 -
The results of Accounting Principals’ latest...Ch. 3.2 - Advertising Spend by Companies. Advertising Age...Ch. 3.2 - Scores turned in by an amateur golfer at the...Ch. 3.2 - Consistency of Running Times. The following times...Ch. 3.3 - 35. Consider a sample with data values of 10, 20,...Ch. 3.3 - 36. Consider a sample with a mean of 500 and a...Ch. 3.3 - 37. Consider a sample with a mean of 30 and a...Ch. 3.3 - 38. Suppose the data have a bell-shaped...Ch. 3.3 - 39. The results of a national survey showed that...Ch. 3.3 - 40. The energy information Administration reported...Ch. 3.3 - 41. The Graduate Management Admission Test (GMAT)...Ch. 3.3 - 42. Many families in California are using backyard...Ch. 3.3 -
According to a Los Angeles Times study of more...Ch. 3.3 - NCAA Basketball Game Scores. A sample of 10 NCAA...Ch. 3.3 -
The Wall Street Journal reported that Walmart...Ch. 3.4 - Consider a sample with data values of 27, 25, 20,...Ch. 3.4 - Prob. 47ECh. 3.4 - Prob. 48ECh. 3.4 - Prob. 49ECh. 3.4 - Naples Half-Marathon Times. Naples, Florida, hosts...Ch. 3.4 - Pharmaceutical Company Sales. Annual sales, in...Ch. 3.4 - Cell Phone Companies Customer Satisfaction....Ch. 3.4 - Most Admired Companies. Fortune magazine’s list of...Ch. 3.4 - Prob. 54ECh. 3.5 - Five observations taken for two variables...Ch. 3.5 - Prob. 56ECh. 3.5 - The DATAfile TwoStocks contains adjusted monthly...Ch. 3.5 - Driving Speed and Fuel Efficiency. A department of...Ch. 3.5 - Smoke Detector Use and Death Rates. Over the past...Ch. 3.5 - Stock Market Indexes Comparison. The Russell 1000...Ch. 3.5 - Best Private Colleges. A random sample of 30...Ch. 3 - Americans Dining Out. Americans tend to dine out...Ch. 3 - NCAA Football Coaches Salaries. A 2017 USA Today...Ch. 3 - Physician Office Waiting Times. The average...Ch. 3 - Worker Productivity and Insomnia. U.S. companies...Ch. 3 -
A study of smartphone users shows that 68% of...Ch. 3 - Work Commuting Methods. Public transportation and...Ch. 3 - Household Incomes. The following data represent a...Ch. 3 - Restaurant Chains’ Sales per Store. The data...Ch. 3 - Prob. 70SECh. 3 - NFL Teams Worth. In 2014, the 32 teams in the...Ch. 3 - MLB Team Winning Percentages. Does a major league...Ch. 3 - 73. The days to maturity for a sample of five...Ch. 3 - 74. Automobiles traveling on a road with a posted...Ch. 3 - Annual Returns for Panama Railroad Company Stock....Ch. 3 - Pelican Stores, a division of National Clothing,...Ch. 3 -
The motion picture industry is a competitive...Ch. 3 - The pursuit of a higher education degree in...Ch. 3 - Although millions of elephants once roamed across...
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- 8. Show that, if {Xn, n ≥ 1) are independent random variables, then sup X A) < ∞ for some A.arrow_forward8- 6. Show that, for any random variable, X, and a > 0, 8 心 P(xarrow_forward15. This problem extends Problem 20.6. Let X, Y be random variables with finite mean. Show that 00 (P(X ≤ x ≤ Y) - P(X ≤ x ≤ X))dx = E Y — E X.arrow_forward(b) Define a simple random variable. Provide an example.arrow_forward17. (a) Define the distribution of a random variable X. (b) Define the distribution function of a random variable X. (c) State the properties of a distribution function. (d) Explain the difference between the distribution and the distribution function of X.arrow_forward16. (a) Show that IA(w) is a random variable if and only if A E Farrow_forward15. Let 2 {1, 2,..., 6} and Fo({1, 2, 3, 4), (3, 4, 5, 6}). (a) Is the function X (w) = 21(3, 4) (w)+711.2,5,6) (w) a random variable? Explain. (b) Provide a function from 2 to R that is not a random variable with respect to (N, F). (c) Write the distribution of X. (d) Write and plot the distribution function of X.arrow_forward20. Define the o-field R2. Explain its relation to the o-field R.arrow_forward7. Show that An → A as n→∞ I{An} - → I{A} as n→ ∞.arrow_forward7. (a) Show that if A,, is an increasing sequence of measurable sets with limit A = Un An, then P(A) is an increasing sequence converging to P(A). (b) Repeat the same for a decreasing sequence. (c) Show that the following inequalities hold: P (lim inf An) lim inf P(A) ≤ lim sup P(A) ≤ P(lim sup A). (d) Using the above inequalities, show that if A, A, then P(A) + P(A).arrow_forward19. (a) Define the joint distribution and joint distribution function of a bivariate ran- dom variable. (b) Define its marginal distributions and marginal distribution functions. (c) Explain how to compute the marginal distribution functions from the joint distribution function.arrow_forward18. Define a bivariate random variable. Provide an example.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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