Question 22 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)
A computer company wants to determine if there is a difference in the proportion of defective computer chips in a day’s production from two different production plants, A and B. A quality control specialist takes a sample of 100 chips from the first hour of production from plant A and determines that there are 12 defective chips. The specialist then takes a sample of 100 chips from the last hour of production from plant B and determines that there are 10 defective chips. He wants to construct a 90% confidence interval for the true difference in proportions of defective chips from a day’s production between the two plants. Are the conditions for inference met?
Answer
A
Yes, the conditions for inference are met.
B
No, the 10% condition is not met.
C
No, the randomness condition is not met.
D
No, the Large Counts Condition is not met.
Explanation
The samples were taken from the first hour at plant A and the last hour at plant B, rather than being randomly selected from each plant’s full day of production. Production quality could vary by time of day, so these samples may not represent the daily proportions. Therefore, the randomness condition is not met; the correct choice is “No, the randomness condition is not met.”
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