Fundamentals of Statistics, Books a la Carte Edition Plus MyLab Statistics with Pearson eText -- Access Card Package (5th Edition)
5th Edition
ISBN: 9780134763699
Author: Michael Sullivan III
Publisher: PEARSON
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Textbook Question
Chapter 10.3, Problem 33AYU
Accept versus Do Not Reject The
- a. Consider the hypotheses H0 : μ = 100 versus H1 : μ > 100. Explain what the director of Institutional Research is testing. Perform the test at the α = 0.05 level of significance. Write a conclusion for the test.
- b. Consider the hypotheses H0 : μ = 101 versus H1 : μ > 101. Explain what the director of Institutional Research is testing. Perform the test at the α = 0.05 level of significance. Write a conclusion for the test.
- c. Consider the hypotheses H0 : μ = 102 versus H1 : μ > 102. Explain what the director of Institutional Research is testing. Perform the test at the α = 0.05 level of significance. Write a conclusion for the test.
- d. Based on the results of parts (a)–(c), write a few sentences that explain the difference between “accepting” the statement in the null hypothesis versus “not rejecting” the statement in the null hypothesis.
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Table 2: Crack Experiment for Exercise 2
A B C D Treatment Combination
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6.376
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10.403 10.151
4.368 4.098
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9.360 9.253
13.440 12.923
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8.561 8.951
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16.867 17.052
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13.876 13.658
abd
19.824 19.639
cd
11.846 12.337
acd
6.125
5.904
bcd
11.190 10.935
abcd
15.653 15.053
Question 3
Continuation of Exercise 2. One of the variables in the experiment described in Exercise 2, heat treatment
method (C), is a categorical variable. Assume that the remaining factors are continuous.
(a) Write two regression models for predicting crack length, one for each level of the heat treatment method
variable. What differences, if any, do you notice in these two equations?
(b) Generate appropriate response surface contour plots for the two regression models in part (a).
(c) What set of conditions would you recommend for the factors A, B, and D if you use heat treatment method
C = +?
(d) Repeat…
Question 2
A nickel-titanium alloy is used to make components for jet turbine aircraft engines. Cracking is a potentially
serious problem in the final part because it can lead to nonrecoverable failure. A test is run at the parts producer
to determine the effect of four factors on cracks. The four factors are: pouring temperature (A), titanium content
(B), heat treatment method (C), amount of grain refiner used (D). Two replicates of a 24 design are run, and
the length of crack (in mm x10-2) induced in a sample coupon subjected to a standard test is measured. The
data are shown in Table 2.
1
(a) Estimate the factor effects. Which factor effects appear to be large?
(b) Conduct an analysis of variance. Do any of the factors affect cracking? Use a = 0.05.
(c) Write down a regression model that can be used to predict crack length as a function of the significant
main effects and interactions you have identified in part (b).
(d) Analyze the residuals from this experiment.
(e) Is there an…
A 24-1 design has been used to investigate the effect of four factors on the resistivity of a silicon wafer. The data
from this experiment are shown in Table 4.
Table 4: Resistivity Experiment for Exercise 5
Run
A
B
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Resistivity
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3
4
5
6
7
8
9
10
11
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58.7
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3
(a) Estimate the factor effects. Plot the effect estimates on a normal probability scale.
(b) Identify a tentative model for this process. Fit the model and test for curvature.
(c) Plot the residuals from the model in part (b) versus the predicted resistivity. Is there any indication on
this plot of model inadequacy?
(d) Construct a normal probability plot of the residuals. Is there any reason to doubt the validity of the
normality assumption?
Chapter 10 Solutions
Fundamentals of Statistics, Books a la Carte Edition Plus MyLab Statistics with Pearson eText -- Access Card Package (5th Edition)
Ch. 10.1 - A _____ is a statement regarding a characteristic...Ch. 10.1 - _____ _____ is a procedure, based on sample...Ch. 10.1 - The _____ _____ is a statement of no change, no...Ch. 10.1 - The _____ _____ is a statement we are trying to...Ch. 10.1 - If we reject the null hypothesis when the...Ch. 10.1 - If we do not reject the null hypothesis when the...Ch. 10.1 - The _____ _____ _____ is the probability of making...Ch. 10.1 - True or False: Sample evidence can prove a null...Ch. 10.1 - In Problems 914, the null and alternative...Ch. 10.1 - In Problems 914, the null and alternative...
Ch. 10.1 - In Problems 914, the null and alternative...Ch. 10.1 - In Problems 914, the null and alternative...Ch. 10.1 - In Problems 914, the null and alternative...Ch. 10.1 - In Problems 914, the null and alternative...Ch. 10.1 - In Problems 1522, (a) determine the null and...Ch. 10.1 - In Problems 1522, (a) determine the null and...Ch. 10.1 - In Problems 1522, (a) determine the null and...Ch. 10.1 - In Problems 1522, (a) determine the null and...Ch. 10.1 - In Problems 1522, (a) determine the null and...Ch. 10.1 - In Problems 1522, (a) determine the null and...Ch. 10.1 - In Problems 1522, (a) determine the null and...Ch. 10.1 - In Problems 1522, (a) determine the null and...Ch. 10.1 - In Problems 2334, state the conclusion based on...Ch. 10.1 - In Problems 2334, state the conclusion based on...Ch. 10.1 - In Problems 2334, state the conclusion based on...Ch. 10.1 - In Problems 2334, state the conclusion based on...Ch. 10.1 - In Problems 2334, state the conclusion based on...Ch. 10.1 - In Problems 2334, state the conclusion based on...Ch. 10.1 - In Problems 2334, state the conclusion based on...Ch. 10.1 - In Problems 2334, state the conclusion based on...Ch. 10.1 - In Problems 2334, state the conclusion based on...Ch. 10.1 - In Problems 2334, state the conclusion based on...Ch. 10.1 - Prob. 33AYUCh. 10.1 - Prob. 34AYUCh. 10.1 - Quality Control A can of soda is labeled as...Ch. 10.1 - Popcorn Consumption According to popcorn.org, the...Ch. 10.1 - E-Cigs According to the Centers for Disease...Ch. 10.1 - Migraines According to the Centers for Disease...Ch. 10.1 - Prob. 39AYUCh. 10.1 - Refer to Problem 18. Researchers must choose the...Ch. 10.1 - Retirement Savings Designed by Bill Bengen, the 4...Ch. 10.1 - If the consequences of making a Type I error are...Ch. 10.1 - What happens to the probability of making a Type...Ch. 10.2 - When observed results are unlikely under the...Ch. 10.2 - True or False: When testing a hypothesis using the...Ch. 10.2 - True or False: When testing a hypothesis using the...Ch. 10.2 - Determine the critical value for a right-tailed...Ch. 10.2 - Determine the critical value for a left-tailed...Ch. 10.2 - Determine the critical value for a two-tailed test...Ch. 10.2 - In Problems 712, test the hypothesis using (a) the...Ch. 10.2 - In Problems 712, test the hypothesis using (a) the...Ch. 10.2 - In Problems 712, test the hypothesis using (a) the...Ch. 10.2 - Prob. 10AYUCh. 10.2 - In Problems 712, test the hypothesis using (a) the...Ch. 10.2 - In Problems 712, test the hypothesis using (a) the...Ch. 10.2 - You Explain It! Stock Analyst Throwing darts at...Ch. 10.2 - Prob. 14AYUCh. 10.2 - Applying the Concepts 15. Cramer Correct Less Than...Ch. 10.2 - Political Pundits In his book, The Signal and the...Ch. 10.2 - NW Lipitor The drug Lipitor is meant to reduce...Ch. 10.2 - Nexium Nexium is a drug that can be used to reduce...Ch. 10.2 - Fatal Traffic Accidents According to the National...Ch. 10.2 - Eating Together In December 2001, 38% of adults...Ch. 10.2 - NW Taught Enough Math In 1994, 52% of parents with...Ch. 10.2 - Living Alone? In 2000, 58% of females aged 15 and...Ch. 10.2 - Prob. 23AYUCh. 10.2 - Prob. 24AYUCh. 10.2 - Accuracy of the Drive Thru According to QSR...Ch. 10.2 - Prob. 26AYUCh. 10.2 - NW Small-Sample Hypothesis Test Professors Honey...Ch. 10.2 - Small-Sample Hypothesis Test In 1997, 4% of...Ch. 10.2 - Statistics in the Media A headline read, More Than...Ch. 10.2 - Prob. 31AYUCh. 10.2 - Political Philosophy According to Gallup, 21% of...Ch. 10.2 - Prob. 33AYUCh. 10.2 - Accept versus Do Not Reject In the United States,...Ch. 10.2 - Prob. 35AYUCh. 10.2 - Putting It Together: Lupus Based on historical...Ch. 10.2 - Putting It Together: Naughty or Nice? Yale...Ch. 10.2 - Explaining the Concepts 40. Explain what a P-value...Ch. 10.2 - Prob. 41AYUCh. 10.2 - Suppose we are testing the hypothesis Ho : p =...Ch. 10.2 - Discuss the advantages and disadvantages of using...Ch. 10.2 - The headline reporting the results of a poll...Ch. 10.2 - Explain what statistical significance means.Ch. 10.3 - a. Determine the critical value for a right-tailed...Ch. 10.3 - a. Determine the critical value for a right-tailed...Ch. 10.3 - To test H0 : = 50 versus H1 : 50, a simple...Ch. 10.3 - Prob. 4AYUCh. 10.3 - To test H0 : = 100 versus H1 : 100, a simple...Ch. 10.3 - Prob. 6AYUCh. 10.3 - Prob. 7AYUCh. 10.3 - To test H0 : = 4.5 versus H1 : 4.5, a simple...Ch. 10.3 - To test H0 : = 105 versus H1 : 105, a simple...Ch. 10.3 - To test H0 : = 45 versus H1 : 45, a simple...Ch. 10.3 - You Explain It! ATM Withdrawals According to the...Ch. 10.3 - You Explain It! Are Women Getting Taller? In 1990,...Ch. 10.3 - NW Ready for College? The ACT is a college...Ch. 10.3 - SAT Verbal Scores Do students who learned English...Ch. 10.3 - Effects of Alcohol on the Brain In a study...Ch. 10.3 - Effects of Plastic Resin Para-nonylphenol is found...Ch. 10.3 - Credit Scores A Fair Isaac Corporation (FICO)...Ch. 10.3 - TVaholics According to the American Time Use...Ch. 10.3 - Age of Death-Row Inmates In 2002, the mean age of...Ch. 10.3 - Energy Consumption In 2001, the mean household...Ch. 10.3 - NW Waiting in Line The mean waiting time at the...Ch. 10.3 - Reading Rates Michael Sullivan, son of the author,...Ch. 10.3 - Prob. 23AYUCh. 10.3 - Filling Bottles A certain brand of apple juice is...Ch. 10.3 - Starbucks Stock The volume of a stock is the...Ch. 10.3 - Study Time Go to...Ch. 10.3 - Prob. 27AYUCh. 10.3 - Prob. 28AYUCh. 10.3 - Problem 25 25. Starbucks Stock The volume of a...Ch. 10.3 - Problem 26 24. Filling Bottles A certain brand of...Ch. 10.3 - Statistical Significance versus Practical...Ch. 10.3 - Statistical Significance versus Practical...Ch. 10.3 - Accept versus Do Not Reject The mean IQ score of...Ch. 10.3 - Reading at Bedtime It is well-documented that...Ch. 10.3 - Whats the Problem? The head of institutional...Ch. 10.3 - Prob. 38AYUCh. 10.3 - Prob. 39AYUCh. 10.4 - Prob. 1AYUCh. 10.4 - A simple random sample of size n = 200 individuals...Ch. 10.4 - Prob. 3AYUCh. 10.4 - Prob. 4AYUCh. 10.4 - Prob. 5AYUCh. 10.4 - Prob. 6AYUCh. 10.4 - Prob. 7AYUCh. 10.4 - The Atomic Bomb In October 1945, the Gallup...Ch. 10.4 - Course Redesign Pass rates for Intermediate...Ch. 10.4 - Number of Credit Cards According to the Federal...Ch. 10.4 - Prob. 11AYUCh. 10.4 - Prob. 12AYUCh. 10.4 - Prob. 13AYUCh. 10.4 - Prob. 14AYUCh. 10.4 - Prob. 15AYUCh. 10.4 - Prob. 16AYUCh. 10.4 - Prob. 17AYUCh. 10.4 - Confidence Intervals Suppose you wish to determine...Ch. 10.4 - Prob. 19AYUCh. 10.4 - In Problems 1925, decide whether the problem...Ch. 10.4 - In Problems 1925, decide whether the problem...Ch. 10.4 - In Problems 1925, decide whether the problem...Ch. 10.4 - Prob. 23AYUCh. 10.4 - Prob. 24AYUCh. 10.4 - Prob. 25AYUCh. 10 - For Problems 1 and 2, (a) determine the null and...Ch. 10 - Prob. 2RECh. 10 - Prob. 3RECh. 10 - Prob. 4RECh. 10 - Prob. 5RECh. 10 - To test H0 : = 50 versus H1 : 50, a simple...Ch. 10 - In Problems 7 and 8, test the hypothesis at the =...Ch. 10 - In Problems 7 and 8, test the hypothesis at the =...Ch. 10 - Prob. 9RECh. 10 - Emergency Room The proportion of patients who...Ch. 10 - Linear Rotary Bearing A linear rotary bearing is...Ch. 10 - Prob. 12RECh. 10 - Conforming Golf Balls The U.S. Golf Association...Ch. 10 - Studying Enough? College mathematics instructors...Ch. 10 - Prob. 15RECh. 10 - Prob. 16RECh. 10 - Prob. 17RECh. 10 - Prob. 18RECh. 10 - Explain the difference between accepting and not...Ch. 10 - Prob. 20RECh. 10 - Prob. 21RECh. 10 - Prob. 22RECh. 10 - Prob. 1CTCh. 10 - The trade magazine QSR routinely examines...Ch. 10 - Did you get your 8 hours of sleep last night? is a...Ch. 10 - The outside diameter of a manufactured part must...Ch. 10 - Prob. 5CTCh. 10 - Prob. 6CTCh. 10 - Prob. 7CTCh. 10 - CASE STUDY How Old Is Stonehenge? Approximately...
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