SOLUTION: The scores on a standardized test had mean μ = 2.818 and standard deviation σ= 1.112. A teacher had 69 students take the test. Although the students were obviously not a

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Question 382710: The scores on a standardized test had mean μ = 2.818 and standard deviation σ= 1.112. A teacher had 69 students take the test. Although the students were obviously not a random sample, she considered her students to be "typical" of all the national students. What is the probability that her students achieved an average score of at least 3?
Answer by stanbon(75887) About Me  (Show Source):
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The scores on a standardized test had mean μ = 2.818 and standard deviation σ= 1.112. A teacher had 69 students take the test. Although the students were obviously not a random sample, she considered her students to be "typical" of all the national students. What is the probability that her students achieved an average score of at least 3?
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t(3) = (3-2.818)/(1.112/sqrt(69)) = 1.3595
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P(x-bar > 3) = P(t >=1.350.089295 when df = 68) = 0.0892
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Cheers,
Stan H.