Understanding Basic Statistics
8th Edition
ISBN: 9781337672320
Author: BRASE
Publisher: Cengage
expand_more
expand_more
format_list_bulleted
Videos
Question
Chapter 10.2, Problem 25P
(i)
To determine
The level of significance, null hypothesis and alternate hypothesis.
(ii)
To determine
To find: The sampling distribution that should be used along with assumptions and compute the value of the sample test statistic.
(iii)
To determine
To find: The critical value of the test statistic and sketch the sampling distribution showing the critical region.
(iv)
To determine
Whether we reject or fail to reject the null hypothesis and whether the data is statistically significant for a level of significance of 0.01.
(v)
To determine
The interpretation for the conclusion.
(vi)
To determine
The comparison for our conclusion with the conclusion obtained from the P-value method.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Question 4
An article in Quality Progress (May 2011, pp. 42-48) describes the use of factorial experiments to improve a
silver powder production process. This product is used in conductive pastes to manufacture a wide variety of
products ranging from silicon wafers to elastic membrane switches. Powder density (g/cm²) and surface area
(cm/g) are the two critical characteristics of this product. The experiments involved three factors: reaction
temperature, ammonium percentage, stirring rate. Each of these factors had two levels, and the design was
replicated twice. The design is shown in Table 3.
A222222222222233
Stir Rate
(RPM)
Ammonium
(%)
Table 3: Silver Powder Experiment from Exercise 13.23
Temperature
(°C)
Density
Surface Area
100
8
14.68
0.40
100
8
15.18
0.43
30
100
8
15.12
0.42
30
100
17.48
0.41
150
7.54
0.69
150
8
6.66
0.67
30
150
8
12.46
0.52
30
150
8
12.62
0.36
100
40
10.95
0.58
100
40
17.68
0.43
30
100
40
12.65
0.57
30
100
40
15.96
0.54
150
40
8.03
0.68
150
40
8.84
0.75
30
150…
-
+
++
Table 2: Crack Experiment for Exercise 2
A B C D Treatment Combination
(1)
Replicate
I II
7.037
6.376
14.707 15.219
|++++ 1
བྱ॰༤༠སྦྱོ སྦྱོཋཏྟཱུ
a
b
ab
11.635 12.089
17.273 17.815
с
ас
10.403 10.151
4.368 4.098
bc
abc
9.360 9.253
13.440 12.923
d
8.561 8.951
ad
16.867 17.052
bd
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…
Chapter 10 Solutions
Understanding Basic Statistics
Ch. 10.1 - Statistical Literacy Are data that can be paired...Ch. 10.1 - Statistical Literacy Consider a set of data pairs....Ch. 10.1 - Statistical Literacy When testing the difference...Ch. 10.1 - statistical Literacy When conducting a paired...Ch. 10.1 - Statistical Literacy When using a Student's t...Ch. 10.1 - Critical Thinking Alisha is conducting a paired...Ch. 10.1 - Basic Computation: Paired Differences Test For a...Ch. 10.1 - Basic Computation: Paired Differences Test For a...Ch. 10.1 - For Problems 9-17 assume that the distribution of...Ch. 10.1 - For Problems 9-17 assume that the distribution of...
Ch. 10.1 - For Problems 9-17 assume that the distribution of...Ch. 10.1 - For Problems 9-17 assume that the distribution of...Ch. 10.1 - For Problems 9-17 assume that the distribution of...Ch. 10.1 - Prob. 14PCh. 10.1 - For Problems 9-17 assume that the distribution of...Ch. 10.1 - For Problems 9-17 assume that the distribution of...Ch. 10.1 - Prob. 17PCh. 10.1 - Expand Your Knowledge: Confidence Intervals for d...Ch. 10.1 - Prob. 19PCh. 10.1 - Prob. 20PCh. 10.2 - Statistical Literacy Consider a hypothesis test of...Ch. 10.2 - Prob. 2PCh. 10.2 - Prob. 3PCh. 10.2 - Prob. 4PCh. 10.2 - Critical Thinking Josh and Kendra each calculated...Ch. 10.2 - Critical Thinking If a 90% confidence interval for...Ch. 10.2 - Basic Computation: Paired Differences Test For a...Ch. 10.2 - Basic Computation: Texting 12 Two populations have...Ch. 10.2 - Basic Computation: Testing- 12 A random sample of...Ch. 10.2 - Basic Computation: Testing 12 Two populations have...Ch. 10.2 - Please provide the following information for...Ch. 10.2 - Please provide the following information for...Ch. 10.2 - Please provide the following information for...Ch. 10.2 - Please provide the following information for...Ch. 10.2 - Please provide the following information for...Ch. 10.2 - Please provide the following information for...Ch. 10.2 - Please provide the following information for...Ch. 10.2 - Please provide the following information for...Ch. 10.2 - Please provide the following information for...Ch. 10.2 - Please provide the following information for...Ch. 10.2 - Prob. 21PCh. 10.2 - Prob. 22PCh. 10.2 - Prob. 23PCh. 10.2 - Prob. 24PCh. 10.2 - Prob. 25PCh. 10.2 - Critical Region Method: Testing 12;1,2Known Redo...Ch. 10.3 - Statistical Literacy Consider a hypothesis test of...Ch. 10.3 - Statistical Literacy Consider a hypothesis test of...Ch. 10.3 - Critical Thinking Consider two independent...Ch. 10.3 - Critical Thinking If a 90% confidence interval for...Ch. 10.3 - Prob. 5PCh. 10.3 - Basic Computation: Testing p1p2 For one binomial...Ch. 10.3 - Federal Tax Money: Art Funding Would you favor...Ch. 10.3 - Art Funding: Politics Would you favor spending...Ch. 10.3 - Sociology: Trusting People Generally speaking,...Ch. 10.3 - Political Science: Voters This problem is based on...Ch. 10.3 - Extraterrestrials: Believe It? Based on...Ch. 10.3 - Art: Polities Do you prefer paintings in which the...Ch. 10.3 - Prob. 13PCh. 10.3 - Critical Region Method: Testing p1p2 Redo Problem...Ch. 10.3 - Basic Computation: Confidence Inters al for p1p2...Ch. 10.3 - Prob. 16PCh. 10.3 - Myers-Briggs: Marriage Counseling Isabel Myers was...Ch. 10.3 - Myers-Briggs: Marriage Counseling Most married...Ch. 10.3 - Navajo Culture: Traditional Hogans S. C. Jett is a...Ch. 10.3 - Archaeology: Cultural Affiliation "Unknown...Ch. 10.3 - Critical Thinking: Different Confidence Levels (a)...Ch. 10.3 - Focus Problem: Wood Duck Nests In the Focus...Ch. 10 - Statistical Literacy and Terminology When are two...Ch. 10 - 2. Statistical Literacy and Terminology When are...Ch. 10 - For each hypothesis test in Problems 3-10, please...Ch. 10 - For each hypothesis test in Problems 3-10, please...Ch. 10 - For each hypothesis test in Problems 3-10, please...Ch. 10 - For each hypothesis test in Problems 3-10, please...Ch. 10 - For each hypothesis test in Problems 3-10, please...Ch. 10 - Prob. 8CRCh. 10 - For each hypothesis test in Problems 3-10, please...Ch. 10 - For each hypothesis test in Problems 3-10, please...Ch. 10 - Prob. DHGPCh. 10 - In there a relationship between confidence...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- 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 с D Resistivity 1 23 2 3 4 5 6 7 8 9 10 11 12 I+I+I+I+Oooo 0 0 ||++TI++o000 33.2 4.6 31.2 9.6 40.6 162.4 39.4 158.6 63.4 62.6 58.7 0 0 60.9 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?arrow_forwardStem1: 1,4 Stem 2: 2,4,8 Stem3: 2,4 Stem4: 0,1,6,8 Stem5: 0,1,2,3,9 Stem 6: 2,2 What’s the Min,Q1, Med,Q3,Max?arrow_forwardAre the t-statistics here greater than 1.96? What do you conclude? colgPA= 1.39+0.412 hsGPA (.33) (0.094) Find the P valuearrow_forward
- A poll before the elections showed that in a given sample 79% of people vote for candidate C. How many people should be interviewed so that the pollsters can be 99% sure that from 75% to 83% of the population will vote for candidate C? Round your answer to the whole number.arrow_forwardSuppose a random sample of 459 married couples found that 307 had two or more personality preferences in common. In another random sample of 471 married couples, it was found that only 31 had no preferences in common. Let p1 be the population proportion of all married couples who have two or more personality preferences in common. Let p2 be the population proportion of all married couples who have no personality preferences in common. Find a95% confidence interval for . Round your answer to three decimal places.arrow_forwardA history teacher interviewed a random sample of 80 students about their preferences in learning activities outside of school and whether they are considering watching a historical movie at the cinema. 69 answered that they would like to go to the cinema. Let p represent the proportion of students who want to watch a historical movie. Determine the maximal margin of error. Use α = 0.05. Round your answer to three decimal places. arrow_forward
- A random sample of medical files is used to estimate the proportion p of all people who have blood type B. If you have no preliminary estimate for p, how many medical files should you include in a random sample in order to be 99% sure that the point estimate will be within a distance of 0.07 from p? Round your answer to the next higher whole number.arrow_forwardA clinical study is designed to assess the average length of hospital stay of patients who underwent surgery. A preliminary study of a random sample of 70 surgery patients’ records showed that the standard deviation of the lengths of stay of all surgery patients is 7.5 days. How large should a sample to estimate the desired mean to within 1 day at 95% confidence? Round your answer to the whole number.arrow_forwardA clinical study is designed to assess the average length of hospital stay of patients who underwent surgery. A preliminary study of a random sample of 70 surgery patients’ records showed that the standard deviation of the lengths of stay of all surgery patients is 7.5 days. How large should a sample to estimate the desired mean to within 1 day at 95% confidence? Round your answer to the whole number.arrow_forward
- In the experiment a sample of subjects is drawn of people who have an elbow surgery. Each of the people included in the sample was interviewed about their health status and measurements were taken before and after surgery. Are the measurements before and after the operation independent or dependent samples?arrow_forwardiid 1. The CLT provides an approximate sampling distribution for the arithmetic average Ỹ of a random sample Y₁, . . ., Yn f(y). The parameters of the approximate sampling distribution depend on the mean and variance of the underlying random variables (i.e., the population mean and variance). The approximation can be written to emphasize this, using the expec- tation and variance of one of the random variables in the sample instead of the parameters μ, 02: YNEY, · (1 (EY,, varyi n For the following population distributions f, write the approximate distribution of the sample mean. (a) Exponential with rate ẞ: f(y) = ß exp{−ßy} 1 (b) Chi-square with degrees of freedom: f(y) = ( 4 ) 2 y = exp { — ½/ } г( (c) Poisson with rate λ: P(Y = y) = exp(-\} > y! y²arrow_forward2. Let Y₁,……., Y be a random sample with common mean μ and common variance σ². Use the CLT to write an expression approximating the CDF P(Ỹ ≤ x) in terms of µ, σ² and n, and the standard normal CDF Fz(·).arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSON
The Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. Freeman
Introduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman
Problems on Area and Circumference of Circle| Basics of Circle| Questions on Circle||BrainPanthers; Author: Brain Panthers;https://www.youtube.com/watch?v=RcNEL9OzcC0;License: Standard YouTube License, CC-BY