document.write( "Question 1147305: I have a homework question that I am having trouble with understanding:\r
\n" ); document.write( "\n" ); document.write( "Using the unit normal table, find the proportion under the standard normal curve that lies between the following values.\r
\n" ); document.write( "\n" ); document.write( "(a) the mean and z= 0
\n" ); document.write( "(b) the mean and z= 1.96
\n" ); document.write( "(c) z= -1.50 and z= 1.50
\n" ); document.write( "(d) z= -0.08 and z= -0.50
\n" ); document.write( "(e) z= 1.00 and z= 2.00 \r
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\n" ); document.write( "If someone could please explain in a step by step way to solve this problem, I have already read the chapters and I am lost. \n" ); document.write( "
Algebra.Com's Answer #768697 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "The standard normal curve has a z-axis instead of an x-axis.  That's because it\r\n" );
document.write( "has 0 in the middle as the mean, and the word \"zero\" starts with \"z\".  The\r\n" );
document.write( "values of z on the z-axis are called z-scores.\r\n" );
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document.write( "These problems are asking you what percentage (as a decimal) of the area between\r\n" );
document.write( "the curve and the horizontal axis is shaded between the two given values on the\r\n" );
document.write( "z-axis.  In practical problems, that percentage will be interpreted as a\r\n" );
document.write( "probability, the probability that an event has measurement between two given\r\n" );
document.write( "values.  You need to learn how to find these percentages by looking them up on a\r\n" );
document.write( "table.\r\n" );
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document.write( "Go to this site and watch the video to learn how to find these values on a\r\n" );
document.write( "table.\r\n" );
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document.write( "https://www.statisticshowto.datasciencecentral.com/tables/z-table/\r\n" );
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document.write( "(a) WHAT PROPORTION OF THE TOTAL AREA BETWEEN THE CURVE BELOW AND THE z-axis IS SHADED BETWEEN \r\n" );
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document.write( "the mean and z = 0?  \r\n" );
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document.write( "Draw this picture: \r\n" );
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document.write( "This is a trick question.  On the standard normal curve, the mean IS z=0,\r\n" );
document.write( "so there is nothing to shade between z=0 and z=0, the mean and itself!\r\n" );
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document.write( "So the answer to (a) is 0 (zero).  The others, however do have shading.\r\n" );
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document.write( "(b) WHAT PROPORTION OF THE TOTAL AREA BETWEEN THE CURVE BELOW AND THE z-axis IS SHADED BETWEEN\r\n" );
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document.write( "the mean and z= 1.96\r\n" );
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document.write( "Draw this picture:\r\n" );
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document.write( "Answer: the decimal fraction of area shaded above is 0.4750.  Watch the video to learn how to find that value.\r\n" );
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document.write( "(c) WHAT PROPORTION OF THE TOTAL AREA BETWEEN THE CURVE BELOW AND THE z-axis IS SHADED BETWEEN\r\n" );
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document.write( "z= -1.50 and z= 1.50\r\n" );
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document.write( "Draw this picture:\r\n" );
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document.write( "Answer: the decimal fraction of area shaded above is 0.8664.  Watch the video to\r\n" );
document.write( "learn how to find that value from the table..\r\n" );
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document.write( "(a) WHAT PROPORTION OF THE TOTAL AREA BETWEEN THE CURVE BELOW AND THE z-axis IS SHADED BETWEEN \r\n" );
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document.write( "z= -0.08 and z= -0.50\r\n" );
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document.write( "DRAW THIS PICTURE:\r\n" );
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document.write( "Answer: the decimal fraction of area shaded above is 0.1596.  Watch the video to learn how to find that value.\r\n" );
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document.write( "(e) \r\n" );
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document.write( "(a) WHAT PROPORTION OF THE TOTAL AREA BETWEEN THE CURVE BELOW AND THE z-axis IS SHADED BETWEEN \r\n" );
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document.write( "z= 1.00 and z= 2.00 \r\n" );
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document.write( "DRAW THIS PICTURE:\r\n" );
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document.write( "Answer: the decimal fraction of area shaded above is 0.1359.  Watch the video to\r\n" );
document.write( "learn how to find that value.\r\n" );
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document.write( "If you have any questions, ask me in the space below and I'll get back to you by\r\n" );
document.write( "email.  There is never any charge as I do this for fun.\r\n" );
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document.write( "Edwin
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