document.write( "Question 362457: 1).a set of 50 data values has a mean of 40 and a variance of 25. \r
\n" ); document.write( "\n" ); document.write( "a). Find the standard score (z) for a data value = 47. \r
\n" ); document.write( "\n" ); document.write( "b). Find the probability of a data value >47.\r
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\n" ); document.write( "\n" ); document.write( "(2). Find the area under the standard normal curve:\r
\n" ); document.write( "\n" ); document.write( "I. to the right of z = 1.83
\n" ); document.write( "II. to the left of z = 1.83
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Algebra.Com's Answer #258352 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
1).a set of 50 data values has a mean of 40 and a variance of 25.
\n" ); document.write( "a). Find the standard score (z) for a data value = 47.
\n" ); document.write( "z(47) = (47-40)/25 = 0.28
\n" ); document.write( "b). Find the probability of a data value > 47.
\n" ); document.write( "P(x> 47) = P(z > 0.28) = 0.3897
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\n" ); document.write( "\n" ); document.write( "(2). Find the area under the standard normal curve:
\n" ); document.write( "I. to the right of z = 1.83
\n" ); document.write( "P(z > 1.83) = 0.0336
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\n" ); document.write( "II. to the left of z = 1.83
\n" ); document.write( "P(z < 1.83) = 1-0.0336 = 0.9664
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \r
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