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About 42,000 high school students took AP Statistics exam in 2001. Free-response section of exam comprised of five open-ended problems and investigative task. Each free-response question is scored on 0 to 4 scale (with 4 being the best). Random sample of 25 student papers yielded following scores on one of 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 sample of 25 papers large adequate to give a good estimate of mean score of all 42,000 students on this exam problem? Explain your answer.

2. Do you believe population of scores on this question is Normally distributed? Describe why or why not.

3. Create and interpret 95% confidence interval for mean score on this exam question. Ensure to describe why it is okay to compute interval in light of your answer to Question 2.

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Category:- Statistics and Probability
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