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About 42,000 high school students took AP Statistics exam in 2001. Free-response section of the exam consisted of five open-ended problems and an investigative task. Each free-response question is scored on a 0 to 4 scale (with 4 being the best). A random sample of 25 student papers yielded the following scores on one of the free-response questions:
1 0 1 0 0 0 3 1 1 1 0 2 0 0 2 1 1 0 2 4 1 0 2 0 3
1. Is a sample of 25 papers large enough to provide a good estimate of the mean score of all 42,000 students on this exam problem? Justify your answer.
2. Do you think the population of scores on this question is Normally distributed? Explain why or why not.
3. Construct and interpret a 95% confidence interval for the mean score on this exam question. Follow the Inference Toolbox. Be sure to explain why it's okay to calculate the interval in light of your answer to Question 2.
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If you wish to estimate a population mean with a sampling distribution error SE = 0.28 using a 95% confidence interval and you know from prior sampling that sigma^2 is approximately equal to 5.4, how many observations would have to be included in ..
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Grindit & Floggit Ltd. make customized Widgets at a cost of $150 per unit of which 3% (on average) happen to be out of tolerance. Up to 115 Widgets can be produces in one continuous run whose set up incurs an additional cost of $10 000.
I have been asked to suppose that faculty at my college are assigned overload courses hence additional compensation beyond the required contract hours based on seniority.
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