STAT TECH IN BUSINESS & ECON AC
18th Edition
ISBN: 9781264731657
Author: Lind
Publisher: MCG
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Chapter 7, Problem 46CE
The annual commissions earned by sales representatives of Machine Products Inc., a manufacturer of light machinery, follow the
- a. What percent of the sales representatives earn more than $42,000 per year?
- b. What percent of the sales representatives earn between $32,000 and $42,000?
- c. What percent of the sales representatives earn between $32,000 and $35,000?
- d. The sales manager wants to award the sales representatives who earn the largest commissions a bonus of $1,000. He can award a bonus to 20% of the representatives. What is the cutoff point between those who earn a bonus and those who do not?
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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 7 Solutions
STAT TECH IN BUSINESS & ECON AC
Ch. 7 - Microwave ovens only last so long. The life-time...Ch. 7 - Prob. 1ECh. 7 - Prob. 2ECh. 7 - Prob. 3ECh. 7 - Prob. 4ECh. 7 - Prob. 5ECh. 7 - Prob. 6ECh. 7 - Prob. 2SRCh. 7 - The distribution of the annual incomes of a group...Ch. 7 - Explain what is meant by this statement: There is...
Ch. 7 - List the major characteristics of a normal...Ch. 7 - The mean of a normal probability distribution is...Ch. 7 - The mean of a normal probability distribution is...Ch. 7 - Prob. 11ECh. 7 - Prob. 12ECh. 7 - The temperature of coffee sold at the Coffee Bean...Ch. 7 - A normal population has a mean of 20.0 and a...Ch. 7 - A normal population has a mean of 12.2 and a...Ch. 7 - Prob. 15ECh. 7 - The mean of a normal probability distribution is...Ch. 7 - Prob. 5SRCh. 7 - Prob. 17ECh. 7 - A normal population has a mean of 80.0 and a...Ch. 7 - Prob. 19ECh. 7 - Prob. 20ECh. 7 - WNAE, an all-news AM station, finds that the...Ch. 7 - Prob. 22ECh. 7 - Prob. 6SRCh. 7 - A normal distribution has a mean of 50 and a...Ch. 7 - Prob. 24ECh. 7 - Prob. 25ECh. 7 - Prob. 26ECh. 7 - Prob. 27ECh. 7 - Prob. 28ECh. 7 - Prob. 29ECh. 7 - Prob. 30ECh. 7 - Prob. 7SRCh. 7 - Prob. 31ECh. 7 - The lifetime of LCD TV sets follows an exponential...Ch. 7 - Prob. 33ECh. 7 - Prob. 34ECh. 7 - Prob. 35CECh. 7 - Prob. 36CECh. 7 - Prob. 37CECh. 7 - Prob. 38CECh. 7 - Prob. 39CECh. 7 - Prob. 40CECh. 7 - Prob. 41CECh. 7 - Prob. 42CECh. 7 - Prob. 43CECh. 7 - Prob. 44CECh. 7 - Shaver Manufacturing Inc. offers dental insurance...Ch. 7 - The annual commissions earned by sales...Ch. 7 - Prob. 47CECh. 7 - Prob. 48CECh. 7 - Management at Gordon Electronics is considering...Ch. 7 - Fast Service Truck Lines uses the Ford Super Duty...Ch. 7 - Prob. 51CECh. 7 - Prob. 52CECh. 7 - The weights of canned hams processed at Henline...Ch. 7 - The price of shares of Bank of Florida at the end...Ch. 7 - Prob. 55CECh. 7 - Prob. 56CECh. 7 - Prob. 57CECh. 7 - Prob. 58CECh. 7 - Prob. 59CECh. 7 - Prob. 61DACh. 7 - Prob. 62DACh. 7 - Prob. 1PCh. 7 - Prob. 2PCh. 7 - Prob. 3PCh. 7 - Prob. 4PCh. 7 - Prob. 5PCh. 7 - Prob. 6PCh. 7 - Prob. 1CCh. 7 - Prob. 2CCh. 7 - Prob. 3CCh. 7 - Prob. 4CCh. 7 - Prob. 5CCh. 7 - Prob. 1.1PTCh. 7 - Prob. 1.2PTCh. 7 - Prob. 1.3PTCh. 7 - Prob. 1.4PTCh. 7 - Prob. 1.5PTCh. 7 - Prob. 1.6PTCh. 7 - Which of the following is NOT a requirement of the...Ch. 7 - Prob. 1.8PTCh. 7 - How many standard normal distributions are there?...Ch. 7 - Prob. 1.10PTCh. 7 - Prob. 1.11PTCh. 7 - Prob. 1.12PTCh. 7 - Prob. 1.13PTCh. 7 - Prob. 1.14PTCh. 7 - Prob. 1.15PTCh. 7 - Prob. 2.1PTCh. 7 - Prob. 2.2PTCh. 7 - Prob. 2.3PTCh. 7 - Prob. 2.4PTCh. 7 - Prob. 2.5PTCh. 7 - Prob. 2.6PTCh. 7 - Prob. 2.7PT
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