Business Statistics: A First Course (8th Edition)
8th Edition
ISBN: 9780135177785
Author: David M. Levine, Kathryn A. Szabat, David F. Stephan
Publisher: PEARSON
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A 31-run experiment was conducted with 6 independent predictor variables. The table below gives the SSres for all possible fitted models in the six variables. Select a “best” model using each of the approaches in a-f stated below.
Variables in Model
SSres
Variables in Model
SSres
Variables in Model
SSres
Variables in Model
SSres
none
11.058
x3, x4
1.453
x2, x3, x4
1.041
x1, x3, x4, x5
0.561
x1
0.607
x3, x5
9.891
x2, x3, x5
9.362
x1, x3, x4, x6
0.555
x2
10.795
x3, x6
8.848
x2, x3, x6
8.838
x1, x3, x5, x6
0.561
x3
10.633
x4, x5
1.397
x2, x4, x5
1.030
x1, x4, x5, x6
0.553
x4
1.522
x4, x6
1.507
x2, x4, x6
1.192
x2, x3, x4, x5
0.958
x5
9.922
x5, x6
7.680
x2, x5, x6
7.679
x2, x3, x4, x6
0.995
x6
9.196
x1, x2, x3
0.498
x3, x4, x5
1.383
x2, x3, x5, x6
7.675
x1, x2
0.499
x1, x2, x4
0.450
x3, x4, x6
1.437
x2, x4, x5, x6
1.024
x1, x3
0.600
x1, x2, x5
0.477
x3, x5, x6
7.678
x3, x4, x5, x6
1.342
x1, x4
0.582
x1, x2, x6
0.367
x4, x5, x6
1.352
x1, x2, x3, x4, x5
0.412
x1, x5…
An automobile dealer conducted a test to determine if the time in minutes needed to complete a minor engine tune-up depends on whether a computerized engine analyzer or an electronic analyzer is used. Because tune-up time varies among compact, intermediate, and full-sized cars, the three types of cars were used as blocks in the experiment. The data obtained follow.
Analyzer
Computerized
Electronic
Computer
51
41
Intermediate
54
44
Full-sized
63
47
Find the value of the test statistic.
Find the p-value.
When performing a x2 test for independence in a contingency table with r rows and c columns, determine the upper-tail critical value of the test statistic in each of
the following circumstances.
a. a = 0.05, r = 3, c = 5
b. a = 0.01, r = 3, c = 6
c. a = 0.01, r = 3, c = 4
d. a = 0.01, r = 5, c = 4
e. a = 0.01, r = 4, c = 3
a. Determine the upper-tail critical value of the test statistic using the values given in the problem statement for part (a).
The critical value is
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- An automobile dealer conducted a test to determine if the time in minutes needed to complete a minor engine tune-up depends on whether a computerized engine analyzer or an electronic analyzer is used. Because tune-up time varies among compact, intermediate, and full-sized cars, the three types of cars were used as blocks in the experiment. The data obtained follow. Analyzer Computerized Electronic Car Compact 52 43 Intermediate 55 44 Full sized 61 45 Use ? = 0.05 to test for any significant differences. State the null and alternative hypotheses. H0: ?Compact ≠ ?Intermediate ≠ ?Full-sizedHa: ?Compact = ?Intermediate = ?Full-sized H0: ?Compact = ?Intermediate = ?Full-sizedHa: ?Compact ≠ ?Intermediate ≠ ?Full-sized H0: ?Computerized = ?Electronic = ?Compact = ?Intermediate = ?Full-sizedHa: Not all the population means are equal. H0: ?Computerized ≠ ?ElectronicHa: ?Computerized = ?Electronic H0: ?Computerized = ?ElectronicHa: ?Computerized ≠ ?Electronic Find the…arrow_forwardA CEO claims that men and women working for his company have equal opportunities to earn bonuses. A lawyer working on a lawsuit filed by a female employee claims that men have greater bonus opportunities than women working at the company. Test this claim at the a = 0.10 level of significance. Let PM represent the proportion of men working for the company that have received a bonus in the past year and pw represent the proportion of women working for the company that have received a bonus in the past year. Which would be correct hypotheses for this test? Ho: PM pw, H₁: PM > PW O Ho: PM = Pw, H₁: PM > PW Ho: PM Pw, H₁: PM Pw Ho: PM Pw, H₁: PM < Pw In a random sample of 274 men, 249 had received a bonus in the past year. In a random sample of 172 women, 130 had received a bonus in the past year. Find the test statistic (2 decimal places): Give the P-value (4 decimal places - if less than 0.001 answer 0):arrow_forwardA study reported the results of a randomized trial of whole-body hypothermia (cooling) for neonatal hypoxicischemic encephalopathy (brain problems in babies due to lack of oxygen). Twenty-nine of the 99 infants randomly assigned to hypothermia died and 44 of the 97 infants in the control group died. Complete parts (a) and (b) below. 1. Find the test statistic for this test. z = ___ (Round to two decimal places as needed.) 2. Find the p-value for this test. p-value = ___ (Round to three decimal places as needed.) 3. What is the conclusion for this test? Use a significance level of 0.10.arrow_forward
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- A manufacturer ran an experiment to compare the wearing qualities of two different types of automobile tires, A and B. In the experiment, a tire of Type A and one of the type B were randomly assigned and mounted on the rear wheels of each of five cars. the cars were then operated for x miles and the amount of tire wear was recorded (higher number represents more wear). Is there sufficient evidence to conclude that there is a difference in the average wear? Use 0.05 level of significance. Tire A 10.6 9.8 12.3 9.7 8.8 Tire B 10.2 9.4 11.8 9.1 8.3arrow_forwardAn automobile dealer conducted a test to determine if the time in minutes needed to complete a minor engine tune-up depends on whether a computerized engine analyzer or an electronic analyzer is used. Because tune-up time varies among compact, intermediate, and full-sized cars, the three types of cars were used as blocks in the experiment. The data obtained follow. Analyzer Computerized Electronic Car Compact 51 42 Intermediate 55 43 Full-sized 62 47 Use ? = 0.05 to test for any significant differences. State the null and alternative hypotheses. H0: ?Computerized ≠ ?ElectronicHa: ?Computerized = ?ElectronicH0: ?Computerized = ?Electronic = ?Compact = ?Intermediate = ?Full-sizedHa: Not all the population means are equal. H0: ?Computerized = ?ElectronicHa: ?Computerized ≠ ?ElectronicH0: ?Compact ≠ ?Intermediate ≠ ?Full-sizedHa: ?Compact = ?Intermediate = ?Full-sizedH0: ?Compact = ?Intermediate = ?Full-sizedHa: ?Compact ≠ ?Intermediate ≠ ?Full-sized Find the value of…arrow_forwardThe background concentration of a chemical in soil was measured on ten random specimens of soil from an uncontaminated area. The measured concentrations, in mg/kg, are: 1.4, 0.6, 1.2, 1.6, 0.5, 0.7, 0.3, 0.8, 0.2, and 0.9. Soil from a neighboring area will be declared “contaminated” if test specimens contain a chemical concentration higher than the upper 99% confidence limit of the background level. What is the cleanup target concentration?arrow_forward
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