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1. A quality engineer needs to estimate the percentage of bolts manufactured on a certain day...

1. A quality engineer needs to estimate the percentage of bolts manufactured on a certain day that meet a strength specification. At 3:00 p.m. he samples the last 100 bolts to be manufactured. (12 points) a. What is the population? b. What is the sample? c. Is the sample likely to be representative? Explain your answer, and if you determine it is not, describe a method that would be more representative.

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Answer #1

(a) Population : The bolts manufactured on a certain day that meet a strength specification

(b) Sample: Last 100 bolts to be manufactured.

(c)

(i) Is the sample likely to be representative? : No. REASON: It is just the sample taken at 3:00 p.m.

(ii) A method that would be more representative:

Based on Stratified Sampling:
Divide the whole manufacturing time of the day into 10 equal parts.

Take sample of size 10 from each of the 10 parts of the day.

The total of there samples will be more representative.

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