document.write( "Question 1185602: Dear madam/sir
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document.write( "How to calculate Z raw value when the area between two variables are given in normal distribution ? \n" );
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Algebra.Com's Answer #816447 by Theo(13342)![]() ![]() You can put this solution on YOUR website! the area is between two z-scores.\\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you find the area to the left of the high score and you find the area to the left of the low score.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you subtract the smaller area from the larger area.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that's the area in between.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "example:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you want to find the area between z-score of 0.5 and 2.0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "find the area to the left of the z-score of 2 and find the area to the left of z-score .5.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "i used the following z-score table.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "http://www.z-table.com/\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the area to the left of a z-score of 2 is equal to .9775. \n" ); document.write( "the area to the left of a z-score of .5 is equal to .6915.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the area between those two z-score is equal to .9775 minus .6915 = .2860 per the value in the tables.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you could also use an online calculator that gives you the same answer with less effort.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the ti-84 plus calculator that i use would tell you that the area between them is equal to .2857874702.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the following online calculator would tell you that the area in between is equal to .286.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "https://stattrek.com/online-calculator/normal.aspx\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the following online calculator would tell you that the area in between is equal to .2858.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "https://davidmlane.com/hyperstat/z_table.html\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the following online calculator would tell you that the area in between is equal to .285788.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "https://www.statskingdom.com/normal.html\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "some calculators can get you the answer directly. \n" ); document.write( "most get you the area to the left of the indicated z-score. \n" ); document.write( "you have to subtract the saller area from the larger area to the left of the indicated z-scores to get the area in between.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the last calculator i showed you said that the area to the left of a z-score of 2 is equal to .97725 and the area to the left of a z-score of .5 is equal to .691462.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "subtracting the smaller area from the larger area gets you an area of .285788.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the z-score of .5 and 2 were just used as an example.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if you are still not sure what to do, let me know what the problem is and i'll work it for you with an explanation of what i did.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |