Introduction to Probability and Statistics
14th Edition
ISBN: 9781133103752
Author: Mendenhall, William
Publisher: Cengage Learning
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Question
Chapter 10, Problem 10.67SE
To determine
To explain: the assumptions made when Student’s t-test is used to test a hypothesis concerning a population mean
Expert Solution & Answer
Explanation of Solution
Assumptions behind student's t distribution:
• The sample must be randomly selected.
• The population from which you are sampling must be
Conclusion:
Therefore, the assumptions are explained.
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Students have asked these similar questions
(c) Because logistic regression predicts probabilities of outcomes, observations used to build a logistic regression model need not be independent.
A. false: all observations must be independent
B. true
C. false: only observations with the same outcome need to be independent
I ANSWERED: A. false: all observations must be independent.
(This was marked wrong but I have no idea why. Isn't this a basic assumption of logistic regression)
Business discuss
Spam filters are built on principles similar to those used in logistic regression. We fit a probability that each message is spam or not spam. We have several variables for each email. Here are a few: to_multiple=1 if there are multiple recipients, winner=1 if the word 'winner' appears in the subject line, format=1 if the email is poorly formatted, re_subj=1 if "re" appears in the subject line. A logistic model was fit to a dataset with the following output:
Estimate
SE
Z
Pr(>|Z|)
(Intercept)
-0.8161
0.086
-9.4895
0
to_multiple
-2.5651
0.3052
-8.4047
0
winner
1.5801
0.3156
5.0067
0
format
-0.1528
0.1136
-1.3451
0.1786
re_subj
-2.8401
0.363
-7.824
0
(a) Write down the model using the coefficients from the model fit.log_odds(spam) = -0.8161 + -2.5651 + to_multiple + 1.5801 winner + -0.1528 format + -2.8401 re_subj(b) Suppose we have an observation where to_multiple=0, winner=1, format=0, and re_subj=0. What is the predicted probability that this message is spam?…
Chapter 10 Solutions
Introduction to Probability and Statistics
Ch. 10.3 - Prob. 10.1ECh. 10.3 - Prob. 10.2ECh. 10.3 - Prob. 10.3ECh. 10.3 - Prob. 10.4ECh. 10.3 - Prob. 10.5ECh. 10.3 - Prob. 10.6ECh. 10.3 - Dissolved O2 Content Industrial wastes andsewage...Ch. 10.3 - Prob. 10.8ECh. 10.3 - Prob. 10.10ECh. 10.3 - Prob. 10.11E
Ch. 10.3 - Prob. 10.12ECh. 10.3 - Prob. 10.13ECh. 10.3 - Cholesterol, continued Refer to Exercise 10.16....Ch. 10.4 - Give the number of degrees of freedom for s2, the...Ch. 10.4 - Prob. 10.19ECh. 10.4 - Prob. 10.20ECh. 10.4 - Prob. 10.21ECh. 10.4 - Prob. 10.22ECh. 10.4 - The MINITAB printout shows a test for the...Ch. 10.4 - Prob. 10.24ECh. 10.4 - Healthy Teeth Jan Lindhe conducted a studyon the...Ch. 10.4 - Prob. 10.26ECh. 10.4 - Prob. 10.27ECh. 10.4 - Disinfectants An experiment published in...Ch. 10.4 - Prob. 10.29ECh. 10.4 - Prob. 10.31ECh. 10.4 - Prob. 10.32ECh. 10.4 - Freestyle Swimmers, continued Refer toExercise...Ch. 10.4 - Prob. 10.34ECh. 10.4 - Prob. 10.35ECh. 10.5 - Prob. 10.36ECh. 10.5 - Prob. 10.37ECh. 10.5 - Prob. 10.38ECh. 10.5 - Prob. 10.39ECh. 10.5 - Runners and Cyclists II Refer to Exercise 10.27....Ch. 10.5 - Prob. 10.41ECh. 10.5 - No Left Turn An experiment was conducted to...Ch. 10.5 - Healthy Teeth II Exercise 10.25 describes adental...Ch. 10.5 - Prob. 10.44ECh. 10.5 - Prob. 10.45ECh. 10.5 - Prob. 10.46ECh. 10.5 - Prob. 10.47ECh. 10.6 - Prob. 10.49ECh. 10.6 - Prob. 10.50ECh. 10.6 - A random sample of size n=7 from a...Ch. 10.6 - Prob. 10.54ECh. 10.6 - Prob. 10.56ECh. 10.7 - Prob. 10.58ECh. 10.7 - Prob. 10.59ECh. 10.7 - Prob. 10.60ECh. 10.7 - Prob. 10.63ECh. 10.7 - Prob. 10.64ECh. 10.7 - Prob. 10.65ECh. 10.7 - Prob. 10.66ECh. 10 - Prob. 10.67SECh. 10 - Prob. 10.68SECh. 10 - Prob. 10.69SECh. 10 - Prob. 10.70SECh. 10 - Prob. 10.71SECh. 10 - Prob. 10.72SECh. 10 - Prob. 10.73SECh. 10 - Prob. 10.74SECh. 10 - Prob. 10.76SECh. 10 - Prob. 10.78SECh. 10 - Prob. 10.79SECh. 10 - Prob. 10.80SECh. 10 - Prob. 10.81SECh. 10 - Prob. 10.82SECh. 10 - Prob. 10.83SECh. 10 - Prob. 10.84SECh. 10 - Prob. 10.85SECh. 10 - Prob. 10.86SECh. 10 - Prob. 10.88SECh. 10 - Prob. 10.89SECh. 10 - Prob. 10.90SECh. 10 - Dieting Eight obese persons were placed on a diet...Ch. 10 - Prob. 10.93SECh. 10 - Reaction Times II Refer to Exercise10.94. Suppose...Ch. 10 - Prob. 10.96SECh. 10 - Prob. 10.97SECh. 10 - Prob. 10.98SECh. 10 - Prob. 10.99SECh. 10 - Prob. 10.101SECh. 10 - Prob. 10.105SECh. 10 - Alcohol and Altitude The effect of...Ch. 10 - Prob. 10.107SECh. 10 - Prob. 10.108SECh. 10 - Prob. 10.109SECh. 10 - Prob. 10.110SECh. 10 - Prob. 10.111SECh. 10 - Prob. 10.112SECh. 10 - Prob. 10.114SECh. 10 - Prob. 10.116SECh. 10 - Prob. 10.118SECh. 10 - Prob. 1CSCh. 10 - Prob. 2CSCh. 10 - Prob. 3CS
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