STATISTICS FOR ENGINEERS+SCI.-ACCESS
4th Edition
ISBN: 9781259998584
Author: Navidi
Publisher: MCG
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Chapter 9, Problem 8SE
The article “Case Study Based Instruction of DOE and SPC” (J. Brady and T. Allen, The American Statistician. 2002:312–315) presents the result of a 24–1 factorial expertment to investigate the effects of four factors on the yield of a process that manufactures printed circuit boards. The factors were A: transistor power output (upper or lower specification limit). B: transistor mounting approach (screwed or soldered). C: transistor heat sink type (current or alternative configuration), and D: screw position on the frequency adjustor (one-half or two turns). The results are presented in the following table. The yield is a percent of a theoretical maximum.
- a. Estimale the main effccts of cach of the four faetors.
- b. Assuming all intcractions to be negligible, pool the sums of squares for interaction to use in place of an error sum of squares.
- c. Which of the four factors, if any. con you conclude to affect the yield? Whal is the P-value of thè relevanl test?
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19. A local brewery produces three premium lagers named Half Pint, XXX, and Dark Knight. Of its premium lagers, the brewery bottles 40% Half Pint, 40% XXX, and 20% Dark Knight. In a marketing test of a sample of 80 consumers, 26 preferred the Half Pint lager, 42 preferred the XXX lager, and 12 preferred the Dark Night lager. Using a chi-square goodness-of-fit test, test whether the production of the premium lagers matches these consumer preferences using a .05 level of significance.
19a. Step 2: Compute the df and locate the critical values.
df = _______
Critical value = ________
19. A local brewery produces three premium lagers named Half Pint, XXX, and Dark Knight. Of its premium lagers, the brewery bottles 40% Half Pint, 40% XXX, and 20% Dark Knight. In a marketing test of a sample of 80 consumers, 26 preferred the Half Pint lager, 42 preferred the XXX lager, and 12 preferred the Dark Night lager. Using a chi-square goodness-of-fit test, test whether the production of the premium lagers matches these consumer preferences using a .05 level of significance.
19. Step 1: Which of the following is the correct set of hypotheses?A. H0: The preferences will not match production (40% Half Pint, 40% XXX, 20% Dark Knight); and H1: The preferences will match production
B. H0: \mu_{1}μ1 = \mu_{2}μ2 = \mu_{3}μ3; and H1: At least one of the categories will be different than the others
C. H0: The preferences will match production (40% Half Pint, 40% XXX, 20% Dark Knight); and H1: The preferences will not match production
19b. Step 2: Compute the df and locate the…
19. A local brewery produces three premium lagers named Half Pint, XXX, and Dark Knight. Of its premium lagers, the brewery bottles 40% Half Pint, 40% XXX, and 20% Dark Knight. In a marketing test of a sample of 80 consumers, 26 preferred the Half Pint lager, 42 preferred the XXX lager, and 12 preferred the Dark Night lager. Using a chi-square goodness-of-fit test, test whether the production of the premium lagers matches these consumer preferences using a .05 level of significance.
19. Step 3: Compute the test statistic -- Chi-square
χ2 = (use 2 decimal places) _____________
Step 4: Decision and Conclusions
19. Step 4: Decision:
A. Reject H0
B. Retain H0
19. Step 5: Conclusion: Did the production of the premium lagers match consumer preferences?
A. Yes. The observed frequencies did not differ from the expected frequencies.
B. No. The observed frequencies differed from the expected frequencies.
Chapter 9 Solutions
STATISTICS FOR ENGINEERS+SCI.-ACCESS
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