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The scores of students on the ACT (American College Testing)college entrance examination in a recent year...

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Statistics

The scores of students on the ACT (American CollegeTesting)college entrance examination in a recent year had thenormal distribution with meanμ= 18 and standard deviationσ= 6. 100students are randomly selected from all who took the test

a.What is the probability that the mean score for the100 students is between 17and 19 (including 17 and 19)?

b.A student is eligible for an honor program if his/herscore is higher than 25.Find an approximation to the probabilitythat at least 15 students of the 100 students are eligible for thehonor program.

c.If the sample size is 4 (rather than 100), what isthe probability that more than50% (not include 50%) students areeligible for the honor program?

Answer & Explanation Solved by verified expert
3.6 Ratings (515 Votes)
AnsweraP17 19 P167 Z 167 PZ 167 PZ 167 09525 00475 09050bPX 25 PZ 117 1 PZ 117 1 08790 01210n    See Answer
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