1) Scores for a common standardized college aptitude test are normally distributed with a mean of 489 and a standard deviation of 113. Randomly selected men are given a Test Preparation Course before taking this test. Assume, for sake of argument, that the test has no effect. If 1 of the men is randomly selected, find the probability that his score is at least 534.3. P(X > 534.3) =  Enter your answer as a number accurate to 4 decimal places. NOTE: Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted. If 18 of the men are randomly selected, find the probability that their mean score is at least 534.3. P(M > 534.3) =  Enter your answer as a number accurate to 4 decimal places. NOTE: Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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1) Scores for a common standardized college aptitude test are normally distributed with a mean of 489 and a standard deviation of 113. Randomly selected men are given a Test Preparation Course before taking this test. Assume, for sake of argument, that the test has no effect.

If 1 of the men is randomly selected, find the probability that his score is at least 534.3.
P(X > 534.3) = 
Enter your answer as a number accurate to 4 decimal places. NOTE: Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

If 18 of the men are randomly selected, find the probability that their mean score is at least 534.3.
P(M > 534.3) = 
Enter your answer as a number accurate to 4 decimal places. NOTE: Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

2)The town of KnowWearSpatial, U.S.A. operates a rubbish waste disposal facility that is overloaded if its 4730 households discard waste with weights having a mean that exceeds 26.98 lb/wk. For many different weeks, it is found that the samples of 4730 households have weights that are normally distributed with a mean of 26.74 lb and a standard deviation of 12.54 lb.

What is the proportion of weeks in which the waste disposal facility is overloaded?
P(M > 26.98) = 
Enter your answer as a number accurate to 4 decimal places. NOTE: Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

 

 

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