INTRODUCTION TO STATISTICS & DATA ANALYS
6th Edition
ISBN: 9780357420447
Author: PECK
Publisher: CENGAGE L
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Chapter 13.4, Problem 47E
The article “Performance Test Conducted for a Gas Air-Conditioning System” (American Society of Heating, Refrigerating, and Air Conditioning Engineering [1969]: 54) reported the following data on maximum outdoor temperature (x) and hours of chiller operation per day (y) for a 3-ton residential gas air-conditioning system:
Suppose that the system is actually a prototype model, and the manufacturer does not wish to produce this model unless the data strongly indicate that when maximum outdoor temperature is 82°F. The true average number of hours of chiller operation is less than 12. The appropriate hypotheses are then
H0: α + β(82) = 12 versus Ha: α + β(82) < 12
Use the statistic
which has a t distribution based on (n – 2) df when H0 is true, to test the hypotheses at significance level 0.01.
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The article in the ASCE Journal of Energy Engineering (1999, Vol. 125, pp.59-75) describes a study of the thermal inertia properties of autoclaved aerated concrete used as a building material. Five samples of the material were tested in a structure, and the average interior temperatures (°C) reported were as follows: 23.01, 22.22, 22.04, 22.62, and 22.59. Test that the average interior temperature is equal to 22.5°C using alpha (a) = 0.05.
This problem is a test on what population parameter?
What is the null and alternative hypothesis?
What are the Significance level and type of test?
What standardized test statistic will be used?
What is the standard test statistic?
What is the Statistical Decision?
What is the statistical decision in the statement form?
Table 14.17
The Least Squares Point Estimates for Exercise 14.51
Bo = 10.3676 (.3710)
B1 = .0500 (<.001)
B2 = 6.3218 (.0152)
B3 = -11.1032 (.0635)
B4 = -.4319 (.0002)
Questions
Using the t statistic and appropriate critical values, test Ho: βj = 0 versus Ha: βj ≠ 0 by setting α equal to .05. Which independent variables are significantly related to y in the model with α = .05?
Using the t statistic and appropriate critical values, test Ho: βj = 0 versus Ha: βj ≠ 0 by setting α equal to .01. Which independent variables are significantly related to y in the model with α = .01?
Find the p-value for testing Ho: βj = 0 versus Ha: βj ≠ 0 on the output. Using the p-value, determine whether we can reject Ho by setting α equal to .10, .05, .01, and .001. What do you conclude about the significance of the independent variables in the model?
Calculate the 95 percent confidence interval for βj. Discuss one practical application of this interval.
Calculate the 99 percent confidence interval for…
Solve
An article in the ASCE Journal of Energy Engineering (1999, Vol. 125, pp.59-75) describes a study of the thermal inertia properties of autoclaved aerated concrete used as a building material. Five samples of the material were tested in a structure, and the average interior temperatures (°C) reported were as follows: 23.01, 22.22, 22.04, 22.62, and 22.59. Test that the average interior temperature is equal to 22.5°C using alpha (a) = 0.05.
1.)This problem is a test on what population parameter?
a.Variance/ Standard Deviation
b.Mean
c.Population Proportion
d.None of the above
2.)What is the null and alternative 3 points hypothesis?
a.Ho / (theta = 22.5) , Ha: (0 # 22.5)
b.Ho / (theta > 22.5) , Ha: (0 # 22.5)
c.Ho / (theta < 22.5) , Ha: (theta >= 22.5)
d.None of the above
3.)What are the Significance level 3 points and type of test?
alpha = 0.05 two-tailed
alpha = 0.95 two-tailed
alpha = 0.95 one-tailed
None of the above
4.)What standardized test statistic will…
Chapter 13 Solutions
INTRODUCTION TO STATISTICS & DATA ANALYS
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