document.write( "Question 1204259: Assuming that the normal heart rate in normal healthy individuals is normally distributed with mean 70 and standard deviation 10 beats per minute. Which heart rates are in the
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Algebra.Com's Answer #840396 by ikleyn(52908)\"\" \"About 
You can put this solution on YOUR website!
Assuming that the normal heart rate in normal healthy individuals is normally distributed with mean 70
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document.write( "(a)   Here they want you determine z-score on the number line such that the area under the given \r\n" );
document.write( "      normal curve be 5% to the RIGHT of this score or (which is the same) 95% to the LEFT of this score.\r\n" );
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document.write( "      So, use the standard function invNorm of your regular calculator TI-83/84\r\n" );
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document.write( "                       area  mean  SD    <<<---===  formatting pattern\r\n" );
document.write( "           z = invNorm(0.95, 70,   10).\r\n" );
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document.write( "      Get the answer z = 86.45, which you should/can round to 87, the closest greater integer.\r\n" );
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document.write( "      The z-scores under the problem's question are  z >= 87.\r\n" );
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document.write( "      Alternatively, you may use an online calculator \r\n" );
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document.write( "          https://onlinestatbook.com/2/calculators/inverse_normal_dist.html\r\n" );
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document.write( "      for this purposes.\r\n" );
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document.write( "(b)   Here they want you determine z-scores z1 and z2 on the number line such that the area under the given \r\n" );
document.write( "      normal curve be 65% to the left of the z1-score and  35% to the left of the z2-score.\r\n" );
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document.write( "      So, use the standard function invNorm of your regular calculator TI-83/84\r\n" );
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document.write( "                        area  mean  SD\r\n" );
document.write( "           z1 = invNorm(0.65, 70,   10) = 73.85,      z2 = invNorm(0.35, 70,   10) = 66.15\r\n" );
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document.write( "      Get the answer  66 <= z <= 73.\r\n" );
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document.write( "      The numbers 35 and 65 came from  50 % +- \"30%2F2\" %.\r\n" );
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document.write( "      Alternatively, you may use an online calculator \r\n" );
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document.write( "          https://onlinestatbook.com/2/calculators/inverse_normal_dist.html\r\n" );
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document.write( "      for this purposes.\r\n" );
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document.write( "(c)   Here they want you determine z-score on the number line such that the area under the given \r\n" );
document.write( "      normal curve be 27% to the LEFT of this score.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "      So, use the standard function invNorm of your regular calculator TI-83/84\r\n" );
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document.write( "                       area  mean  SD    <<<---===  formatting pattern\r\n" );
document.write( "           z = invNorm(0.27, 70,   10).\r\n" );
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document.write( "      Get the answer z = 63.87, which you should/can round to 63, the closest lesser integer.\r\n" );
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document.write( "      The z-scores under the problem's question are  z <= 63.\r\n" );
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document.write( "\r\n" );
document.write( "      Alternatively, you may use an online calculator \r\n" );
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document.write( "          https://onlinestatbook.com/2/calculators/inverse_normal_dist.html\r\n" );
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document.write( "      for this purposes.\r\n" );
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\n" ); document.write( "\n" ); document.write( "If you are a beginner student in such calculations, I advise you to start using the online calculator,
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