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Question 1
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In the population, the scores of students on the ACT college
entrance exam had mean μ = 22 and standard deviation σ = 6. The
distribution of scores is roughly normal. A SRS of 80 students who
took the exam is taken. Round the standard deviation of the sample
mean score x_bar to four decimal places. Using that rounded
number, what is probability that the mean score x_bar of these
students is 22.5 or higher (rounded to four decimal
places
)? (Remember to express your answer as a proportion.)
Question
2
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In the population, the scores of students on the SAT college
entrance exam had mean μ = 1200 and standard deviation σ =
80. The distribution of scores is roughly normal. A SRS of 60
students who took the exam is taken. Round the standard
deviation of the sample mean score x_bar to four decimal
places. Using that rounded number, what is probability that the
mean score x_bar of these students is between 1190 and 1210
(rounded to four decimal places
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 Spring '08
 ABDUS,S.

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