Basic Business Statistics, Student Value Edition (13th Edition)
13th Edition
ISBN: 9780321946393
Author: Mark L. Berenson, David M. Levine, Kathryn A. Szabat
Publisher: PEARSON
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Chapter 3, Problem 62PS
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2. Consider the negative binomial distribution with parameters r,p and having pmf
nb(x;r,p) =
Ꮖ
(* + r − ¹) p*(1 − p)²
p'(1-p) x = 0, 1, 2, 3, … ….
(a) Supposer 2, then show that
T-1
p =
X+r−1
is an unbiased estimator for p. (Hint: write out E(p), then cancel out x+r −1 inside
the sum).
(b) A reporter wishing to interview five individuals who support a certain candidate (for
presidency?) begins asking people whether they support (S) or not support (F) the can-
didate.
If they observe the following sequence of responses SFFSfffffffffffSSS, esti-
mate p the true proportion of people who support the candidate.
How does the estimate change if the following sequence of responses were observed
ssssfffffffffffffs.
Does it matter to the estimate when the first four S's appear in the sequence of responses?
The overall distance traveled by a golf ball is tested by hitting the ball with Iron Byron, a
mechanical golfer with a swing that is said to emulate the distance hit by the legendary champion
Byron Nelson. Ten randomly selected balls of two different brands are tested and the overall
distance measured.
Brand 1: 275, 286, 287, 271, 283, 271, 279, 275, 263, 267
Brand 2: 258, 244, 260, 265, 273, 281, 271, 270, 263, 268
a) Is there evidence to support the claim that the standard deviation of overall distance is the
same for both brands of balls (use α = 0.05)?
b) Is there evidence to support the claim that the mean of the overall distance is the same for
both brands of balls (use α = 0.05)?
Chapter 3 Solutions
Basic Business Statistics, Student Value Edition (13th Edition)
Ch. 3 - The following set of data is from sample of n=5:...Ch. 3 - The following set of data is from sample of n=6:...Ch. 3 - The following set of data is from sample of n=7:...Ch. 3 - The following set of data is from sample of n=5:...Ch. 3 - Suppose that the rate of return for a particular...Ch. 3 - Suppose that the rate of return for a particular...Ch. 3 - Prob. 7PSCh. 3 - The operation manager of a plant that manufactures...Ch. 3 - Prob. 9PSCh. 3 - The file FastFood contains the amount that a...
Ch. 3 - The file Sedans contains the overall miles per...Ch. 3 - The file SUV contains the overall miles per gallon...Ch. 3 - Prob. 13PSCh. 3 - Prob. 14PSCh. 3 - Is there a difference in the variation of the...Ch. 3 - Prob. 16PSCh. 3 - A bank branch located in a commercial district of...Ch. 3 - Suppose that another bank branch, location in a...Ch. 3 - Prob. 19PSCh. 3 - Prob. 20PSCh. 3 - Prob. 21PSCh. 3 - In 2009 through 2012, the value of precious metals...Ch. 3 - Prob. 23PSCh. 3 - Using the one-year return percentage variable in...Ch. 3 - Prob. 25PSCh. 3 - Prob. 26PSCh. 3 - The following is a set of data from a sample of...Ch. 3 - The following is a set of data from a sample of...Ch. 3 - The following is a set of data from a sample of...Ch. 3 - The following is a set of data from a sample of...Ch. 3 - Prob. 31PSCh. 3 - Prob. 32PSCh. 3 - The file HotelAway contains the average room price...Ch. 3 - Prob. 34PSCh. 3 - Prob. 35PSCh. 3 - A bark branch located in a commercial district of...Ch. 3 - The following is a set of data for a population...Ch. 3 - The following is a set of data for a population...Ch. 3 - Prob. 39PSCh. 3 - Consider a population of 1.024 mutual funds that...Ch. 3 - Prob. 41PSCh. 3 - Prob. 42PSCh. 3 - Thirty companies comprise the DJIA Just how big...Ch. 3 - The following is a set of data from sample of n=11...Ch. 3 - Prob. 45PSCh. 3 - Prob. 46PSCh. 3 - Movie companies need to predict the gross receipts...Ch. 3 - College football is big business, with coaches’...Ch. 3 - A Pew Research Center survey found a noticeable...Ch. 3 - What are the properties of a set of numerical...Ch. 3 - What is meant by the property of central tendency?Ch. 3 - What are the differences among the mean, median,...Ch. 3 - How do you interpret the first quartile, median,...Ch. 3 - What is meant by the property of variation?Ch. 3 - What does the Z score measure?Ch. 3 - What are the differences among the various...Ch. 3 - How does the empirical rule help explain the ways...Ch. 3 - How do the empirical rule and the Chebyshev rule...Ch. 3 - What is meant by the property of shape?Ch. 3 - What is the difference between the arithmetic mean...Ch. 3 - What is the difference between skewness and...Ch. 3 - How do the covariance and the coefficient of...Ch. 3 - The American Society for Quality (ASQ) conducted a...Ch. 3 - Prob. 64PSCh. 3 - One of the 111801 measures of the quality of...Ch. 3 - Prob. 66PSCh. 3 - Prob. 67PSCh. 3 - Prob. 68PSCh. 3 - A quality characteristic of interest for a...Ch. 3 - The manufacturer of Boston and Vermont asphalt...Ch. 3 - Prob. 71PSCh. 3 - The file Protein contains calories. protein. and...Ch. 3 - The file HotelPrices contains the prices in...Ch. 3 - Prob. 74PSCh. 3 - The file CEO-includes the total compensation...Ch. 3 - Prob. 76PSCh. 3 - Prob. 77PSCh. 3 - Prob. 78PSCh. 3 - You are planning to study for your statistics...Ch. 3 - The file DomesticBeer contains the percentage...
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