Statistics for Business and Economics (13th Edition)
13th Edition
ISBN: 9780134506593
Author: James T. McClave, P. George Benson, Terry Sincich
Publisher: PEARSON
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Textbook Question
Chapter 6.3, Problem 6.38ACI
Crude oil biodegradation. Refer to the Journal of Petroleum Geology (April 201 0) study of the environmental factors associated with biodegradation in crude oil reservoirs, Exercise 2.29 (p. 61). One indicator of biodegradation is the level of dioxide in the water. Recall that 16 water specimens were randomly selected from various locations in a reservoir on the floor of a mine and the amount of dioxide (milligrams/liter) as well as presence of oil was determined for each specimen. These data are reproduced in the next table.
- a. Estimate the true
mean amount of dioxide present in water specimens that contain oil using a 95% confidence interval. - b. Give a practical interpretation of the interval.
- c. Repeat part a for water specimens that do not contain oil.
- d. Based on the results, parts a and b, make an inference about biodegradation at the mine reservoir.
| Dioxide Amount | Crude Oil Present |
| 3.3 | No |
| 0.5 | Yes |
| 1.3 | Yes |
| 0.4 | Yes |
| 0.1 | No |
| 4.0 | No |
| 0.3 | No |
| 0.2 | Yes |
| 2.4 | No |
| 2.4 | No |
| 1.4 | No |
| 0.5 | Yes |
| 0.2 | Yes |
| 4.0 | No |
| 4.0 | No |
| 4.0 | No |
 |
|
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The quality control engineer at Palmer Industries is interested in estimating the tensile strength of steel wire based on its outside diameter and the amount of molybdenum in the steel. As an experiment, she selected 25 pieces of wire, measured the outside diameters, and determined the molybdenum content. Then she measured the tensile strength of each piece. The results of the first four are recorded in the table.
Tensile Strength
Outside Diameter
Amount of Molybdenum
Place
(PSI ) Y
(mm) X1
(Units) X2
A
11
0.3
6
B
9
0.2
5
C
16
0.4
8
D
12
0.3
7
Using a statistical software package, the QC engineer determined the multiple regression equation to be Y’=-0.5+20X1+1X2.
a) Based on the equation, what is the estimated tensile strength of a steel wire having an outside diameter of .35 mm and 6.4 units of molybdenum?
b) Interpret the value of b1 in the equation.
Please use the accompanying Excel data set or accompanying Text file data set when completing the following exercise.
An article in Wood Science and Technology, "Creep in Chipboard, Part 3: Initial Assessment of the Influence of Moisture Content and
Level of Stressing on Rate of Creep and Time to Failure" (1981, Vol. 15, pp. 125-144) studied the deflection (mm) of particleboard from
stress levels of relative humidity. Assume that the two variables are related according to the simple linear regression model. The data
are shown below
x = Stress level (%)
54
54
61
61
68
68
75
75
75
y = Deflection (mm) 16.473 18.693 14.305 15.121
13.505
11.64 11.168
12.534 11.224
a. Calculate the least square estimates of the intercept (a) and slope (b). What is the estimate of o (c)?
b. Find the estimate of the mean deflection if the stress level can be limited to 61% (d).
c. Estimate the change in the mean deflection associated with a 7% increment in stress level (e).
(a)
i
(Round your answer to 2…
Chapter 6 Solutions
Statistics for Business and Economics (13th Edition)
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