An Introduction to Statistical Methods and Data Analysis
7th Edition
ISBN: 9781305269477
Author: R. Lyman Ott, Micheal T. Longnecker
Publisher: Cengage Learning
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A medical student at a community college in city Q wants to study the factors affecting the systolic blood pressure of a person (Y). Generally, the systolic blood pressure depends on the BMI of a person (B) and the age of the person A. She wants
to test whether or not the BMI has a significant effect on the systolic blood pressure, keeping the age of the person constant. For her study, she collects a random sample of 150 patients from the city and estimates the following regression
function:
Y= 15.50 +0.90B + 1.10A.
(0.48) (0.35)
The test statistic of the study the student wants to conduct (Ho: B, =0 vs. H4: B, #0), keeping other variables constant is.
(Round your answer to two decimal places.)
At the 5% significance level, the student will
v the null hypothesis.
Keeping BMI constant, she now wants
test whether the age of a person (A) has no significant effect or a positive effect on the person's systolic blood pressure.
So, the test statistic associated with the one-sided test the…
Fifteen adult males between the ages of 35 and 50 participated in a study to evaluate the effect of diet and exercise on blood cholesterol levels. The total cholesterol was measured in each subject initially and then three months after participating in an aerobic exercise program and switching to a low-fat diet. The data are shown in the following table.
The concentration of carbon dioxide (CO2) in the atmosphere is increasing rapidly due to our use of fossil fuels. Because plants use CO2 to fuel photosynthesis,
more CO2 may cause trees and other plants to grow faster. An elaborate apparatus allows researchers to pipe extra CO2 to a 30-meter circle of forest. They
selected two nearby circles in each of three parts of a pine forest and randomly chose one of each pair to receive extra CO2. The response variable is the mean
increase in base area for 30 to 40 trees in a circle during a growing season. We measure this in percent increase per year. Here are one year's data.
Pair
Control plot
Treated plot
Treated - Control
9.782
10.647
0.865
2
7.283
9.254
1.971
3
5.712
8.695
2.983
(a) State the null and alternative hypotheses. (Where u is the mean difference, treated minus control.)
Но: и
На: и
? :
Explain clearly why the investigators used a one-sided alternative.
The researchers have no preconceived idea what extra CO2 will do to the growth…
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