Mindtap Psychology, 2 Terms (12 Months) Printed Access Card For Gravetter/wallnau/forzano’s Essentials Of Statistics For The Behavioral Sciences, 9th
9th Edition
ISBN: 9781337612227
Author: Frederick J Gravetter, Larry B. Wallnau, Lori-Ann B. Forzano
Publisher: Cengage Learning
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Textbook Question
Chapter 4.2, Problem 3LC
A set of scores
a. 3 points
b. 6 points
c. 12 points
d. 24 points
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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
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?
Stem1: 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?
Chapter 4 Solutions
Mindtap Psychology, 2 Terms (12 Months) Printed Access Card For Gravetter/wallnau/forzano’s Essentials Of Statistics For The Behavioral Sciences, 9th
Ch. 4.1 - Which of the following is a consequence of...Ch. 4.1 - What is the range for the following set of scores?...Ch. 4.1 - For the following scores, which of the following...Ch. 4.2 - Which of the following sets of scores has the...Ch. 4.2 - What is the variance for the following set of...Ch. 4.2 - A set of scores ranges from a high of X = 24 to a...Ch. 4.3 - What is SS, the sum of the squared deviations, for...Ch. 4.3 - What is the standard deviation for the following...Ch. 4.3 - Prob. 3LCCh. 4.4 - Which of the following explains why it is...
Ch. 4.4 - Under what circumstances is the computational...Ch. 4.4 - Prob. 3LCCh. 4.5 - A researcher takes a sample from a population and...Ch. 4.5 - A researcher takes all of the possible samples of...Ch. 4.5 - All the possible samples of n = 3 scores are...Ch. 4.6 - If a normal-shaped population with y. 40 and o 5...Ch. 4.6 - If 5 points are added to every score in a...Ch. 4.6 - A research study obtains a mean of 12.7 and a...Ch. 4.6 - For which of the following distributions would X =...Ch. 4 - Briefly explain the goal for defining and...Ch. 4 - What is the range for the following set of scores?...Ch. 4 - In words, explain what is measured by variance and...Ch. 4 - Is it possible to obtain a negative value for...Ch. 4 - Describe the scores in a sample that has a...Ch. 4 - There are two different formulas or methods that...Ch. 4 - Calculate the mean and SS (sum of squared...Ch. 4 - For the following population of N = 9 scores: 4,...Ch. 4 - Calculate SS, variance, and standard deviation for...Ch. 4 - Calculate SS. variance, and standard deviation for...Ch. 4 - Calculate SS. variance, and standard deviation for...Ch. 4 - For the following set of scores; 6, 2, 3, 0, 4 a....Ch. 4 - Explain why the formula for sample variance is...Ch. 4 - For the following sample or n = 6 scores: 0, 11,...Ch. 4 - Calculate SS, variance, and standard deviation for...Ch. 4 - Calculate SS, variance, and standard deviation for...Ch. 4 - A population has a mean of = 50 and a standard...Ch. 4 - Solve the following problems. a. After 6 points...Ch. 4 - Compute the mean and standard deviation for the...Ch. 4 - For the following sample of n = 8 scores: 0, 1,12,...Ch. 4 - For the following population of N = 6 scores: 2,...Ch. 4 - The range is completely determined by the two...Ch. 4 - For the data in the following sample: 1, 1, 9, 1...Ch. 4 - Arden and Plomin (2006) published a study...Ch. 4 - A population has a mean of = 50 and a standard...Ch. 4 - On an exam with a mean of M = 39, you obtain a...
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- A 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_forwardIn 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_forward
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