Essential Statistics for the Behavioral Sciences
2nd Edition
ISBN: 9781506386300
Author: Gregory J. Privitera
Publisher: SAGE Publications, Inc
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Chapter A, Problem A8A9.8RP
To determine
To simplify: The provided expression.
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Problem 3
In their lab, engineer Daniel and Paulina are desperately trying to perfect time travel. But the problem is that
their machine still struggles with power inconsistencies-sometimes generating too little energy, other times
too much, causing unstable time jumps. To prevent catastrophic misjumps into the Jurassic era or the far
future, they must calibrate the machine's power output. After extensive testing, they found that the time
machine's power output follows a normal distribution, with an average energy level of 8.7 gigawatts and a
standard deviation of 1.2 gigawatts.
The Time Travel Safety Board has set strict guidelines: For a successful time jump, the
machine's power must be between 8.5 and 9.5 gigawatts. What is the probability that a randomly
selected time jump meets this precision requirement?
Daniel suggests that adjusting the mean power output could improve time-travel accuracy.
Can adjusting the mean reduce the number of dangerous misjumps? If yes, what should the…
Problem 5 (
Marybeth is also interested in the experiment from Problem 2 (associated with the enhancements for Captain
America's shield), so she decides to start a detailed literature review on the subject. Among others, she found
a paper where they used a 2"(4-1) fractional factorial design in the factors: (A) shield material, (B) throwing
mechanism, (C) edge modification, and (D) handle adjustment. The experimental design used in the paper is
shown in the table below.
a.
Run
A
B
с
D
1
(1)
-1
-1
-1
1
2
a
1
-1
-1
1
3
bd
-1
1
-1
1
4
abd
1
1
-1
1
5
cd
-1
-1
1
-1
6
acd
1
-1
1
-1
7
bc
-1
1
1
-1
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paper?
s) What was the generator used in the 2"(4-1) fractional factorial design described in the
b.
Based on the resolution of this design, what do you think about the generator used in the
paper? Do you think it was a good choice, or would you have selected a different one? Explain your
answer in detail.
Suppose we wish to test the hypothesis that women with a sister’s history of breast cancer are at higher risk of developing breast cancer themselves. Suppose we assume that the prevalence rate of breast cancer is 3% among 60- to 64-year-old U.S. women, whereas it is 5% among women with a sister history. We propose to interview 400 women 40 to 64 years of age with a sister history of the disease. What is the power of such a study assuming that the level of significance is 10%?
I only need help writing the null and alternative hypotheses.
Chapter A Solutions
Essential Statistics for the Behavioral Sciences
Ch. A - Prob. A1.1RPCh. A - Prob. A1.2RPCh. A - Prob. A1.3RPCh. A - Prob. A1.4RPCh. A - Prob. A1.5RPCh. A - Prob. A1.6RPCh. A - Prob. A1.7RPCh. A - Prob. A1.8RPCh. A - Prob. A1.9RPCh. A - Prob. A1.10RP
Ch. A - Prob. A1.11RPCh. A - Prob. A1.12RPCh. A - Prob. A1.13RPCh. A - Prob. A1.14RPCh. A - Prob. A1.15RPCh. A - Prob. A1.16RPCh. A - Prob. A2A3.1RPCh. A - Prob. A2A3.2RPCh. A - Prob. A2A3.3RPCh. A - Prob. A2A3.4RPCh. A - Prob. A2A3.5RPCh. A - Prob. A2A3.6RPCh. A - Prob. A2A3.7RPCh. A - Prob. A2A3.8RPCh. A - Prob. A2A3.9RPCh. A - Prob. A2A3.10RPCh. A - Prob. A4A5.1RPCh. A - Prob. A4A5.2RPCh. A - Prob. A4A5.3RPCh. A - Prob. A4A5.4RPCh. A - Prob. A4A5.5RPCh. A - Prob. A4A5.6RPCh. A - Prob. A4A5.7RPCh. A - Prob. A4A5.8RPCh. A - Prob. A4A5.9RPCh. A - Prob. A4A5.10RPCh. A - Prob. A4A5.11RPCh. A - Prob. A4A5.12RPCh. A - Prob. A4A5.13RPCh. A - Prob. A4A5.14RPCh. A - Prob. A4A5.15RPCh. A - Prob. A4A5.16RPCh. A - Prob. A4A5.17RPCh. A - Prob. A4A5.18RPCh. A - Prob. A4A5.19RPCh. A - Prob. A4A5.20RPCh. A - Prob. A6A7.1RPCh. A - Prob. A6A7.2RPCh. A - Prob. A6A7.3RPCh. A - Prob. A6A7.4RPCh. A - Prob. A6A7.5RPCh. A - Prob. A6A7.6RPCh. A - Prob. A6A7.7RPCh. A - Prob. A6A7.8RPCh. A - Prob. A6A7.9RPCh. A - Prob. A6A7.10RPCh. A - Prob. A6A7.11RPCh. A - Prob. A6A7.12RPCh. A - Prob. A6A7.13RPCh. A - Prob. A6A7.14RPCh. A - Prob. A6A7.15RPCh. A - Prob. A6A7.16RPCh. A - Prob. A6A7.17RPCh. A - Prob. A6A7.18RPCh. A - Prob. A6A7.19RPCh. A - Prob. A6A7.20RPCh. A - Prob. A6A7.21RPCh. A - Prob. A6A7.22RPCh. A - Prob. A6A7.23RPCh. A - Prob. A6A7.24RPCh. A - Prob. A6A7.25RPCh. A - Prob. A6A7.26RPCh. A - Prob. A8A9.1RPCh. A - Prob. A8A9.2RPCh. A - Prob. A8A9.3RPCh. A - Prob. A8A9.4RPCh. A - Prob. A8A9.5RPCh. A - Prob. A8A9.6RPCh. A - Prob. A8A9.7RPCh. A - Prob. A8A9.8RPCh. A - Prob. A8A9.9RPCh. A - Prob. A8A9.10RPCh. A - Prob. A8A9.11RPCh. A - Prob. A8A9.12RPCh. A - Prob. A8A9.13RPCh. A - Prob. A8A9.14RPCh. A - Prob. A10A11.1RPCh. A - Prob. A10A11.2RPCh. A - Prob. A10A11.3RPCh. A - Prob. A10A11.4RPCh. A - Prob. A10A11.5RPCh. A - Prob. A10A11.6RPCh. A - Prob. A10A11.7RPCh. A - Prob. A10A11.8RPCh. A - Prob. A10A11.9RPCh. A - Prob. A10A11.10RPCh. A - Prob. A10A11.11RPCh. A - Prob. A10A11.12RPCh. A - Prob. A10A11.13RPCh. A - Prob. A10A11.14RPCh. A - Prob. A10A11.15RPCh. A - Prob. A10A11.16RP
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