An Introduction to Mathematical Statistics and Its Applications (6th Edition)
6th Edition
ISBN: 9780134114217
Author: Richard J. Larsen, Morris L. Marx
Publisher: PEARSON
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Chapter 11.3, Problem 3Q
Based on the data in Question 11.2.1, the relationship between
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The risk of a person developing heart disease is correlated with their BMI (or body mass index), which is
calculated by dividing their body mass by their height (high BMIS typically mean the person is overweight). Heart
disease is also related to a person's level of activity. Suppose a person's BMI is x and their physical activity is y
(measured, for example, in minutes of exercise each day). Let h be a heart disease risk index (high values of h
mean high risk of heart disease, low values of h mean a low risk of heart disease). h depends on x and y, that is,
h3h(x,y). A simple linear model that only takes into account the effects of BMI and activity is
(a) Would you expect a > 0 or a < 0? What about b?
You would expect a 7o and b
0.
(b) To fit the values of a and b, consider the following data.
A patient with BMI of 15, and who does 50 min of activity each day, has risk index h = 150.
A patient with BMI of 30, and who does 30 min of activity each day, has risk index h = 405.
Use these…
I would need some help with finding the best predicted value of y corresponding to the given value of x.
A physician wants to see if there was a difference in the average smokers' daily cigarette consumption after wearing a nicotine patch. The physician set up a study to track daily smoking consumption. In the study, the patients were given a placebo patch that did not contain nicotine for 4 weeks, then a nicotine patch for the following 4 weeks. Test to see if there was a difference in the average smoker's daily cigarette consumption using α = 0.01. The hypotheses are:
H0 : μD = 0
H1 : μD ≠ 0
t-Test: Paired Two Sample for Means
Placebo
Nicotine
Mean
18.75
12.3125
Variance
66.599
34.6667
Observations
16
16
Pearson Correlation
0.6105
Hypothesized Mean Difference
0
df
15
t Stat
3.5481
P(T<=t) one-tail
0.0126
t Critical one-tail
2.6025
P(T<=t) two-tail
0.0252
t Critical two-tail
2.9467
What is the correct p-value?
Question 1 options:…
Chapter 11 Solutions
An Introduction to Mathematical Statistics and Its Applications (6th Edition)
Ch. 11.2 - Crickets make their chirping sound by sliding one...Ch. 11.2 - The aging of whisky in charred oak barrels brings...Ch. 11.2 - Prob. 3QCh. 11.2 - Prob. 4QCh. 11.2 - Prob. 5QCh. 11.2 - Prob. 6QCh. 11.2 - The relationship between school funding and...Ch. 11.2 - (a) Find the equation of the least squares...Ch. 11.2 - Prob. 9QCh. 11.2 - Prob. 10Q
Ch. 11.2 - Prob. 11QCh. 11.2 - Verify that the coefficients a and b of the least...Ch. 11.2 - Prob. 13QCh. 11.2 - Prob. 14QCh. 11.2 - Prob. 15QCh. 11.2 - Prob. 16QCh. 11.2 - Prob. 17QCh. 11.2 - A graph of the luxury suite data in Question 8.2.5...Ch. 11.2 - Set up (but do not solve) the equations necessary...Ch. 11.2 - Prob. 20QCh. 11.2 - The growth of federal expenditures is one of the...Ch. 11.2 - Prob. 22QCh. 11.2 - Prob. 24QCh. 11.2 - Prob. 25QCh. 11.2 - Among mammals, the relationship between the age at...Ch. 11.2 - Prob. 27QCh. 11.2 - Years of experience buying and selling commercial...Ch. 11.2 - Prob. 29QCh. 11.2 - The following table shows a portion of the results...Ch. 11.3 - Insect flight ability can be measured in a...Ch. 11.3 - The best straight line through the Massachusetts...Ch. 11.3 - Based on the data in Question 11.2.1, the...Ch. 11.3 - Suppose an experimenter intends to do a regression...Ch. 11.3 - Prob. 5QCh. 11.3 - Prob. 6QCh. 11.3 - Prob. 7QCh. 11.3 - Set up and carry out an appropriate hypothesis...Ch. 11.3 - Test H0:1=0 versus H1:10 for the plumage...Ch. 11.3 - Prob. 10QCh. 11.3 - Derive a formula for a 95% confidence interval for...Ch. 11.3 - Which, if any, of the assumptions of the simple...Ch. 11.3 - Prob. 13QCh. 11.3 - Construct a 90% confidence interval for 2 in the...Ch. 11.3 - Regression techniques can be very useful in...Ch. 11.3 - Construct a 95% confidence interval for E(Y2.750)...Ch. 11.3 - Prob. 18QCh. 11.3 - The fuel economy (in miles per gallon) of an...Ch. 11.3 - In the radioactive exposure example in Question...Ch. 11.3 - Attorneys representing a group of male buyers...Ch. 11.3 - Prob. 23QCh. 11.3 - Show that i=1n(YiY)2=i=1n(YiYi)2+i=1n(YiY)2 for...Ch. 11.4 - Prob. 1QCh. 11.4 - Prob. 2QCh. 11.4 - Prob. 3QCh. 11.4 - Prob. 4QCh. 11.4 - Prob. 5QCh. 11.4 - Let the random variable X take on the values...Ch. 11.4 - Prob. 7QCh. 11.4 - Prob. 8QCh. 11.4 - Prob. 9QCh. 11.4 - Prob. 10QCh. 11.4 - Some baseball fans believe that the number of home...Ch. 11.4 - Many people believe that a salary bonus is a...Ch. 11.4 - The extent to which stress is a contributing...Ch. 11.4 - Burglary and larceny both involve the illegal...Ch. 11.4 - A common saying in golf is You drive for show, but...Ch. 11.5 - Suppose that X and Y have a bivariate normal pdf...Ch. 11.5 - Suppose that X and Y have a bivariate normal...Ch. 11.5 - Prob. 3QCh. 11.5 - Suppose that the random variables X and Y have a...Ch. 11.5 - Prob. 5QCh. 11.5 - Give conditions on a0,b0, and u so that...Ch. 11.5 - Prob. 7QCh. 11.5 - In a study of heart disease (79), the weight (in...Ch. 11.5 - Prob. 9QCh. 11.5 - Prob. 10QCh. 11.5 - The National Collegiate Athletic Association has...
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