STATS:DATA+MODELS-W/DVD
STATS:DATA+MODELS-W/DVD
4th Edition
ISBN: 9780321986498
Author: DeVeaux
Publisher: PEARSON
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Chapter 17.5, Problem 5JC
To determine

Identify the shape of the histogram of all sample means, when all possible samples of size 100 are considered.

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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)?

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