document.write( "Question 868544: MNM Corporation gives each of its employees an aptitude test. The scores on the test are normally distributed with a mean of 75 and a standard deviation of 15. A simple random sample of 25 is taken from a population of 500.
\n" ); document.write( "a. What are the expected value, the standard deviation, and the shape of the sampling distribution of pr017-1.jpg ?
\n" ); document.write( "b. What is the random variable in this problem? Define it in words.
\n" ); document.write( "c. What is the probability that the average aptitude test score in the sample will be between 70.14 and 82.14?
\n" ); document.write( "d. What is the probability that the average aptitude test score in the sample will be greater than 82.68?
\n" ); document.write( "e. What is the probability that the average aptitude test score in the sample will be less than 78.69?
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Algebra.Com's Answer #523623 by ewatrrr(24785)\"\" \"About 
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\n" ); document.write( "Hi
\n" ); document.write( "a. What are the expected value: 75
\n" ); document.write( "the standard deviation: s = \"15%2Fsqrt%2825%29+=+3\"
\n" ); document.write( "and the shape of the sampling distribution of pr017-1.jpg ? assuming the normal curve
\n" ); document.write( " b. What is the random variable in this problem? test scores
\n" ); document.write( " c. P( between 70.14 and 82.14) = normalcdf(70.14, 82.14, 75, 3)
\n" ); document.write( " d. P(greater than 82.68) = normalcdf( 82.68, 999, 75, 3) 999 a placeholder
\n" ); document.write( " e. P(less than 78.69)= normalcdf(-999,78.69, 75, 3) \n" ); document.write( "
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