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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Textbook Question
Chapter 11.3, Problem 8Q
Set up and carry out an appropriate hypothesis test for the Hanford radioactive contamination data given in Question 11.2.9. Let
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Students have asked these similar questions
Match each step on the left with the procedure at
that step on the right.
Step
1
3
Procedure
a. calculate test statistics
b. compare p-value with alpha
c. write null and alternative hypotheses
d. identify test type
e. write conclusion
f. reject or fail to reject null hypothesis
g. calculate p-value
Use Excel to determine whether the variables mentioned in the two problems below are independent or not. Clearly state the 4 steps in Hypothesis Testing as discussed:
Step 1: The hypotheses are written in words.
Step 2: Find the alpha in the problem
Step 3: Make a screenshot of the Excel calculations are results as shown in the video.
Step 4: Make a decision based on the value found in Step 3 and make a conclusion.
2. The side effects of a new drug are being tested against a placebo. A simple random sample of 565 patients yields the results below. At a significance level of α = 0.05, is there enough evidence to conclude that the treatment is independent of the side effect of nausea?
Result
Drug
Placebo
TOTAL
Nausea
36
13
49
No nausea
254
262
516
TOTAL
290
275
565
Amish State Oil claims their gasoline additive increases fuel economy. Miles per gallon (MPG) for 15 identical vehicles were obtained and results are listed below in column one. These vehicles were given the gasoline additive and the MPG results are listed in column two. Find p and state your conclusion whether Amish State Oil’s claim is true, using a= 0.05.
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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- Scenario 2 To measure whether test performance can be predicted based on one's anxiety, a researcher asked his students to come to the lab 15 minutes before they were to take an exam in his class. The researcher measured the students' heart rates and then matched these scores with their exam performance after they had taken the exam. Use the data below and SPSS to test whether heart rate can predict test performance in the population. 田 Student Heart Rate Exam Score A 76 78 B 81 68 60 88 D 65 80 E 80 90 F 66 68 82 60 H 71 95 I 66 84 J 75 75 K 80 62 L 76 51 M 77 63 N 79 71 7. In this specific scenario, are the two variables of interest? Which is the IV and which is the DV? What is the scale of measurement for each variable? Page 3 of 7arrow_forwardMatch each step on the left with the procedure at that step on the right. Step 1 2 3 4 5 6 7 8 Todo a. calculate test statistic b. write conclusion c. compare p-value to alpha d. write claim symbolically e. identify test type and relevant statistic f. write null and alternative hypotheses g. calculate p-value h. reject or fail to reject nullarrow_forwardQn5. Using the Kruskal-Wallis test at a = 0.01, can we conclude that the three populations represented by the three samples differ with respect to propellant burning rates? A Summarized data is given as follows: For System I: , = 5, Sum of the ranks i.e., R = 47 For System II:2, = 6, Sum of the ranks i.e., R, = 16 For System III: n, = 8, Sum of the ranks i.e., R = 57. ( Given that Table value of Chi Square = 9.21)arrow_forward
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