Probability and Statistics for Engineering and the Sciences
9th Edition
ISBN: 9781305251809
Author: Jay L. Devore
Publisher: Cengage Learning
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Chapter 9.2, Problem 26E
The article “The Influence of Corrosion Inhibitor and Surface Abrasion on the Failure of Aluminum-Wired Twist-On Connections” (IEEE Trans. on Components, Hybrids, and Manuf. Tech., 1984: 20–25) reported data on potential drop measurements for one sample of connectors wired with alloy aluminum and another sample wired with EC aluminum. Does the accompanying SAS output suggest that the true average potential drop for alloy connections (type 1) is higher than that wfor EC connections (as stated in the article)? Carry out the appropriate test using a significance level of .01. In reaching your conclusion, what type of error might you have committed? [Note: SAS reports the P-value for a two-tailed test.]
| Type | N | Mean | Std Dev | Std Error |
| 1 | 20 17.49900000 | 0.55012821 | 0.12301241 | |
| 2 | 20 16.90000000 | 0.48998389 | 0.10956373 | |
| Variances | T DF | Prob>|T| | ||
| Unequal | 3.6362 37.5 | 0.0008 | ||
| Equal | 3.6362 38.0 | 0.0008 | ||
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The decline of salmon fisheries along the Columbia River in Oregon has caused great concern among commercial and recreational fishermen. The paper 'Feeding of Predaceous Fishes on Out-Migrating Juvenile Salmonids in John Day Reservoir, Columbia River' (Trans. Amer. Fisheries Soc. (1991: 405-420)) gave the accompanying data on y = maximum size of salmonids consumed by a northern squaw fish (the most abundant salmonid predator) and x = squawfish length, both in mm. Use the following statistics to give the equation of the least squares regression line.x = 524.800, y = 303.660, sx = 14.429, sy = 11.200, r = 0.9662
a) ŷ = 1.245x − 89.940
b) ŷ = 0.750x − 89.940
c) ŷ = -89.940x + 0.750
d) ŷ = 1.245x + 89.940
e) ŷ = 0.750x + 89.940
f) None of the above
The decline of salmon fisheries along the Columbia River in Oregon has caused great concern among commercial and recreational fishermen. The paper 'Feeding of Predaceous Fishes on Out-Migrating Juvenile Salmonids in John Day Reservoir, Columbia River' (Trans. Amer. Fisheries Soc. (1991: 405-420) gave the accompanying data on 10 values for the data sets where y = maximum size of salmonids consumed by a northern squaw fish (the most abundant salmonid predator) and x = squawfish length, both in mm. Here is the computer software printout of the summary:
Coefficients:
Estimate
Std. Error
t value
Pr(> |t|)
(Intercept)
−90.020
16.702
−5.390
0.000
Length
0.705
0.049
14.358
0.000
Using this information, compute a 95% confidence interval for the slope.
The decline of salmon fisheries along the Columbia River in Oregon has caused great concern among commercial and recreational fishermen. The paper 'Feeding of Predaceous Fishes on Out-Migrating Juvenile Salmonids in John Day Reservoir, Columbia River' (Trans. Amer. Fisheries Soc. (1991: 405-420) gave the accompanying data on y = maximum size of salmonids consumed by a northern squaw fish (the most abundant salmonid predator) and x = squawfish length, both in mm. Here is the computer software printout of the summary:
Coefficients:
Estimate
Std. Error
t value
Pr(> |t|)
(Intercept)
−89.010
16.703
−5.329
0.000
Length
0.705
0.046
15.293
0.000
Using this information, give the equation of the least squares regression line.
Chapter 9 Solutions
Probability and Statistics for Engineering and the Sciences
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