ufacturing plant produces 1200 new cars every day. A quality-control inspector checks a random sample of 90 cars from one day's production and finds that 12 of them have minor paint flaws. 1) Construct and interpret a 90% confidence interval by completing the statement below. We are % confident that the true population proportion for the

ufacturing plant produces 1200 new cars every day. A quality-control inspector checks a random sample of 90 cars from one day's production and finds that 12 of them have minor paint flaws. 1) Construct and interpret a 90% confidence interval by completing the statement below. We are % confident that the true population proportion for the

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 58E: What is meant by the sample space of an experiment?

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What is meant by the sample space of an experiment?
The production manager in an automobile plant is concerned with the number of cars that do not pass the final quality control inspection. In the last two hours he noted that in a sample of 120 cars only 92 were acceptable. The lower and upper limit of a 95% confidence interval for the true percentage of all cars that would not pass the final quality control inspection would be:
According to a report on sleep deprivation by the Centers for Disease Control and Prevention, the proportion of California residents who reported insufficient rest or sleep during each of the preceding 30 days is 8.0%, while this percent is 8.8% for Oregon residents. These data are based on simple random samples of 11,545 California and 4,691 Oregon residents. Suppose we want to calculate a 99% confidence interval for the difference between the proportions of Californians and Oregonians who are sleepdeprived. 1. State the critical value for the interval (3 decimal places): 2. State the difference between the sample proportions, POregon-PCalifornia (3 decimal places): 3. State the standard error of the difference between the proportions (3 decimal places): 4. State the confidence interval being sure to use proper notation (3 decimal places each):
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In order to estimate the overall proportion of students who favor a shorter semester system, we selected a simple random sample of 36 students and found that 24 of them favor a shorter semester system.(a) Construct a 90% confidence interval for the overall proportion of students who favor a shorter semester system.(b) Find the margin of error associated with this c.i. and interpret the answer in plain language.(c) In order for the margin of error to be no greater than 0.1 (or 10 percentage points), how large a sample should be drawn instead?
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