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 5, Problem 28PS
Assume a Poisson distribution.
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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 5 Solutions
Basic Business Statistics, Student Value Edition (13th Edition)
Ch. 5 - Given the following probability distribution: a....Ch. 5 - Prob. 2PSCh. 5 - Recently , a regional automobile dealership sent...Ch. 5 - In the carnival game Under-or -Over-Seven, a pair...Ch. 5 - Prob. 5PSCh. 5 - Prob. 6PSCh. 5 - Prob. 7PSCh. 5 - Given the following probability distribution for...Ch. 5 - Prob. 9PSCh. 5 - The process of being served at a bank consists of...
Ch. 5 - In the portfolio example in this section (see page...Ch. 5 - Prob. 12PSCh. 5 - Prob. 13PSCh. 5 - Prob. 14PSCh. 5 - Suppose that in Example 5.1 on page 193, you...Ch. 5 - Prob. 16PSCh. 5 - Suppose that in Problem 5.16 you wanted to create...Ch. 5 - Determine the following:...Ch. 5 - Prob. 19PSCh. 5 - Determine the mean and standard deviation of the...Ch. 5 - The increase or decrease in the price of a stock...Ch. 5 - Prob. 22PSCh. 5 - Prob. 23PSCh. 5 - A manufacturing company regularly conducts quality...Ch. 5 - When a customer places an order with Rudy’s...Ch. 5 - Prob. 26PSCh. 5 - In Example 5.5 on page 200, you and two friends...Ch. 5 - Assume a Poisson distribution....Ch. 5 - Assume a Poisson distribution....Ch. 5 - Assume a Poisson distribution with =5.0. What is...Ch. 5 - Prob. 31PSCh. 5 - The quality control manager of Marilyn’s Cookies...Ch. 5 - Refer to Problem 5.22. How many cookies in a batch...Ch. 5 - Prob. 34PSCh. 5 - Prob. 35PSCh. 5 - The Consumer Financial Protection Bureau’s...Ch. 5 - J.D. Power and Associates calculates and publishes...Ch. 5 - Prob. 38PSCh. 5 - Prob. 39PSCh. 5 - Refer to Problem 5.27. if you purchased a Toyota...Ch. 5 - A toll-free phone number is available from 9 A.M....Ch. 5 - Prob. 42PSCh. 5 - Prob. 43PSCh. 5 - An auditor for the Internal Revenue Service is...Ch. 5 - Prob. 45PSCh. 5 - Prob. 46PSCh. 5 - Prob. 47PSCh. 5 - Prob. 48PSCh. 5 - Prob. 49PSCh. 5 - What are the four properties that must be present...Ch. 5 - Prob. 51PSCh. 5 - Prob. 52PSCh. 5 - Darwin Head, a 35-year-old sawmill worker, won 1...Ch. 5 - Between 1896-when the Dow Jones index was...Ch. 5 - Smartphone adoption among American teens has...Ch. 5 - One theory concerning the Dow jones industrial...Ch. 5 - Prob. 57PSCh. 5 - Prob. 58PSCh. 5 - Social log-ins involve recommending of sharing an...Ch. 5 - The Consumer Financial Protection Bureau’s...Ch. 5 - Prob. 61PSCh. 5 - One theory concerning the...Ch. 5 - Spurious correlation refers to the apparent...Ch. 5 - Prob. 64PSCh. 5 - Prob. 65PS
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