(Use Excel) The quality manager believes there may be a relationship between the
ID: 3357057 • Letter: #
Question
(Use Excel) The quality manager believes there may be a relationship between the experience level of an inspector and whether a product passes or fails inspection. Inspection records were reviewed for 624 units of a particular product, and the number of units which passed and failed inspection was determined based on three inspector experience levels. The results are shown in the following table. Decision Experience Level Low (under 2 years) Medium (2-8 years) High (over 8 years) Pass 152 285 100 Fail 16 44 27 a. Specify the competing hypotheses to determine whether the inspector pass/fail decision depends on experience level. H0: Inspector pass/fail decision and experience level are independent; HA: Inspector pass/fail decision and experience level are dependent. H0: Inspector pass/fail decision and experience level are dependent; HA: Inspector pass/fail decision and experience level are independent. b. Calculate the value of the test statistic. (Round the intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) Test statistic c. Approximate the p-value. 0.025 Picture p-value < 0.05 0.05 Picture p-value < 0.10 0.01 Picture p-value < 0.025 p-value Picture 0.10 p-value < 0.01 d-1. At the 10% significance level, what is your conclusion? H0. At the 10% significance level, we conclude that inspection pass/fail and experience are dependent. d-2. Does your conclusion change at the 5% significance level? No Yes
value 20.00 points (Use Excel) The quality manager believes there may be a relationship between the experience level of an inspector and whether a product passes or fails inspection. Inspection records were reviewed for 624 units of a particular product, and the number of units which passed and failed inspection was determined based on three inspector experience levels. The results are shown in the following table Experience Level Medium High (over 8 years) ow Decision Pass Fail (under 2 years) (2-8 years) 285 152 16 100 27 a. Specify the competing hypotheses to determine whether the inspector pass/fail decision depends on experience level Ho: Inspector pass/fail decision and experience level are independent, HA: Inspector pass/fail decision and experience level are dependent. Ho: Inspector pass/fail decision and experience level are dependent; HA: Inspector pass/fail decision and experience level are independent. b. Calculate the value of the test statistic. (Round the intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) Test statistic c. Approximate the p-value 0.025 s p-valueExplanation / Answer
The statistical software output for this problem is:
Contingency table results:
Rows: Decision
Columns: None
Chi-Square test:
Hence,
a) H0: Inspector pass/fail decision and experiencelevel are independent; HA: Inspector pass/fail decision and experience level are dependent.
Option A is correct.
b) Test statistic = 8.490
c) 0.01 < p - value < 0.025
d - 1) Reject; can
d - 2) No
Low Medium High Total Pass 152 285 100 537 Fail 16 44 27 87 Total 168 329 127 624Related Questions
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