Introduction to Probability and Statistics
14th Edition
ISBN: 9781133103752
Author: Mendenhall, William
Publisher: Cengage Learning
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Textbook Question
Chapter 9.5, Problem 9.31E
A random sample of
a. If your research hypothesis is that p differs from .4, what hypotheses should you test?
b. Calculate the test statistic and its p-value. Use the p-value to evaluate the statistical significance of the results at the 1% level.
c. Do the data provide sufficient evidence to indicate that p is different from .4?
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Theorem 1.2 (1) Suppose that P(|X|≤b) = 1 for some b > 0, that EX = 0, and
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P(X > x) ≤e-x+1²²
P(|X|>x) ≤2e-1x+1²²
(ii) Let X1, X2...., Xn be independent random variables with mean 0, suppose
that P(X ≤b) = 1 for all k, and set oσ = Var X. Then, for
x > 0.
and
0x) ≤2 exp
Σ
k=1
(iii) If, in addition, X1, X2, X, are identically distributed, then
P(S|x) ≤2 expl-tx+nt²o).
Theorem 5.1 (Jensen's inequality)
state without proof the Jensen's Ineg.
Let X be a random variable, g a convex function, and suppose that X and g(X) are
integrable. Then
g(EX) < Eg(X).
Can social media mistakes hurt your chances of finding a job? According to a survey of 1,000 hiring managers across many different industries, 76% claim that they use social media sites to research prospective candidates for any job. Calculate the probabilities of the following events. (Round your answers to three decimal places.) answer parts a-c. a) Out of 30 job listings, at least 19 will conduct social media screening. b) Out of 30 job listings, fewer than 17 will conduct social media screening. c) Out of 30 job listings, exactly between 19 and 22 (including 19 and 22) will conduct social media screening. show all steps for probabilities please. answer parts a-c.
Chapter 9 Solutions
Introduction to Probability and Statistics
Ch. 9.3 - Find the appropriate rejection regions for the...Ch. 9.3 - Prob. 9.2ECh. 9.3 - Find the appropriate rejection regions for the...Ch. 9.3 - Prob. 9.4ECh. 9.3 - For the three tests given in Exercise 9.4, use the...Ch. 9.3 - A random sample of n=35 observations from a...Ch. 9.3 - Prob. 9.7ECh. 9.3 - Prob. 9.8ECh. 9.3 - A random sample of 100 observations from a...Ch. 9.3 - Prob. 9.10E
Ch. 9.3 - Prob. 9.11ECh. 9.3 - Prob. 9.12ECh. 9.3 - Prob. 9.14ECh. 9.3 - Prob. 9.15ECh. 9.3 - What’s Normal? What is normal, when it comes to...Ch. 9.4 - Prob. 9.18ECh. 9.4 - Independent random samples of 36 and 45...Ch. 9.4 - Prob. 9.20ECh. 9.4 - Cure for the Common Cold? An experiment was...Ch. 9.4 - Healthy Eating As Americans become more conscious...Ch. 9.4 - Prob. 9.24ECh. 9.4 - Prob. 9.25ECh. 9.4 - Prob. 9.26ECh. 9.4 - Prob. 9.27ECh. 9.4 - Prob. 9.28ECh. 9.4 - What’s Normal II Of the 130 people in Exercise...Ch. 9.5 - A random sample of n=1000 observations from a...Ch. 9.5 - A random sample of n=1400 observations from a...Ch. 9.5 - Prob. 9.32ECh. 9.5 - Prob. 9.33ECh. 9.5 - Prob. 9.38ECh. 9.5 - Prob. 9.40ECh. 9.5 - Prob. 9.41ECh. 9.6 - Independent random samples of n1=140 and n2=140...Ch. 9.6 - Prob. 9.43ECh. 9.6 - Prob. 9.46ECh. 9.6 - Prob. 9.47ECh. 9.6 - Prob. 9.48ECh. 9.6 - Prob. 9.49ECh. 9.6 - Prob. 9.50ECh. 9 - Prob. 9.52SECh. 9 - Prob. 9.53SECh. 9 - Prob. 9.54SECh. 9 - Prob. 9.55SECh. 9 - Prob. 9.56SECh. 9 - Prob. 9.57SECh. 9 - Prob. 9.58SECh. 9 - Prob. 9.59SECh. 9 - Prob. 9.60SECh. 9 - White-Tailed Deer In an article entitled “A...Ch. 9 - Prob. 9.62SECh. 9 - Prob. 9.63SECh. 9 - Prob. 9.64SECh. 9 - Prob. 9.65SECh. 9 - Prob. 9.66SECh. 9 - Prob. 9.67SECh. 9 - Prob. 9.68SECh. 9 - Prob. 9.69SECh. 9 - Prob. 9.70SECh. 9 - Prob. 9.71SECh. 9 - Actinomycin D A biologist hypothesizes that high...Ch. 9 - Prob. 9.73SECh. 9 - Prob. 9.74SECh. 9 - Heights and Gender It is a well-accepted fact that...Ch. 9 - Prob. 9.79SECh. 9 - Prob. 9.81SE
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