Introduction to Probability and Statistics
14th Edition
ISBN: 9781133103752
Author: Mendenhall, William
Publisher: Cengage Learning
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Chapter 10.7, Problem 10.66E
(a)
To determine
To find: Whether the data provide sufficient evidence to show a difference in the variability of the shipment impurity levels for two suppliers at 1% level of significance. Also, make the recommendation for the manufacturer.
(b)
To determine
To find: The 99% confidence interval for
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a) Let X and Y be independent random variables both with the same mean µ=0. Define a new random variable W = aX +bY, where a and b are constants. (i) Obtain an expression for E(W).
The table below shows the estimated effects for a logistic regression model with squamous cell esophageal cancer (Y = 1, yes; Y = 0, no) as the response. Smoking status (S) equals 1 for at least one pack per day and 0 otherwise, alcohol consumption (A) equals the average number of alcohoic drinks consumed per day, and race (R) equals 1 for blacks and 0 for whites.
Variable
Effect (β)
P-value
Intercept
-7.00
<0.01
Alcohol use
0.10
0.03
Smoking
1.20
<0.01
Race
0.30
0.02
Race × smoking
0.20
0.04
Write-out the prediction equation (i.e., the logistic regression model) when R = 0 and again when R = 1. Find the fitted Y S conditional odds ratio in each case.
Next, write-out the logistic regression model when S = 0 and again when S = 1. Find the fitted Y R conditional odds ratio in each case.
The chi-squared goodness-of-fit test can be used to test if data comes from a specific continuous distribution by binning the data to make it
categorical.
Using the OpenIntro Statistics county_complete dataset, test the hypothesis that the persons_per_household 2019 values come from a normal
distribution with mean and standard deviation equal to that variable's mean and standard deviation. Use signficance level a = 0.01.
In your solution you should
1. Formulate the hypotheses
2. Fill in this table
Range
(-⁰⁰, 2.34]
(2.34, 2.81]
(2.81, 3.27]
(3.27,00)
Observed
802
Expected
854.2
The first row has been filled in. That should give you a hint for how to calculate the expected frequencies. Remember that the expected
frequencies are calculated under the assumption that the null hypothesis is true.
FYI, the bounderies for each range were obtained using JASP's drag-and-drop cut function with 8 levels. Then some of the groups were
merged.
3. Check any conditions required by the chi-squared…
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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