Introduction To Statistics And Data Analysis
6th Edition
ISBN: 9781337793612
Author: PECK, Roxy.
Publisher: Cengage Learning,
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Textbook Question
Chapter 5.4, Problem 58E
A study, described in the paper “Prediction of Defibrillation Success from a Single Defibrillation Threshold Measurement” (Circulation [1988]: 1144–1149) investigated the relationship between defibrillation success and the energy of the defibrillation shock (expressed as a multiple of the defibrillation threshold). The accompanying data are from this study.
- a. Construct a
scatterplot of y = Success and x = Energy of shock. Does the relationship appear to be linear or nonlinear? - b. Fit a least-squares line to the given data, and construct a residual plot. Does the residual plot support your conclusion in Part (a)? Explain.
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Students have asked these similar questions
In an article in IEEE Transactions on Instrumentation and Measurement (2001,
Vol. 50, pp. 986-990), researchers reported on a study of the effects of reducing
current draw in a magnetic core by electronic means. They measured the current in a
magnetic winding with and without the electronics in a paired experiment. Data for
the case without electronics are provided in the Table.
Current Without Electronics
(mA)
Supply Voltage
0.66
7.32
1.32
12.22
1.98
16.34
2.64
23.66
3.3
28.06
3.96
33.39
4.62
34.12
3.28
39.21
5.94
44.21
6.6
47.48
(a) Fit a regression line to predict current without electronics to supply voltage. Is
there a significant regression at a = 0.05? What is the P-value?
(b) Estimate the correlation coefficient.
(c) Test the hypothesis that p = 0 against the alternative p=0 with a = 0.05. What is
the P-value?
In an article in IEEE Transactions on Instrumentation and Measurement (2001,
Vol. 50, pp. 986-990), researchers reported on a study of the effects of reducing
current draw in a magnetic core by electronic means. They measured the current in a
magnetic winding with and without the electronics in a paired experiment. Data for
the case without electronics are provided in the Table.
Current Without Electronics
(mA)
Supply Voltage
0.66
7.32
1.32
12.22
1.98
16.34
2.64
23.66
3.3
28.06
3.96
33.39
4.62
34.12
3.28
39.21
5.94
44.21
6.6
47.48
(a) Estimate the correlation coefficient.
(b) Test the hypothesis that p = 0 against the alternative p=0 with a = 0.05. What is
the P-value?
(c) Compute a 95% confidence interval for the correlation coefficient.
Health care workers who use latex gloves with glove powder on a daily basis
are particularly susceptible to developing a latex allergy. Each in a sample of
45 hospital employees who were diagnosed with a latex allergy based on a
skin-prick test reported on their exposure to latex gloves. Summary statistics
for the number of latex gloves used per week are x = 19.5 and s = 12.1.
Complete parts (a) - (d).
a. Give a point estimate for the average number of latex gloves used per
week by all health care workers with a latex allergy.
19.5
b. Form a 95% confidence interval for the average number of latex gloves
used per week by all health care workers with a latex allergy.
(Use integers or decimals for any numbers in the expression. Round to two
decimal places as needed.)
Chapter 5 Solutions
Introduction To Statistics And Data Analysis
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