document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1194313>Question 1194313</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The mean height of women in a country​ (ages 20−​29) is 63.7 inches. A random sample of 70 women in this age group is selected. What is the probability that the mean height for the sample is greater than 64 ​inches? Assume σ=2.91.<BR>\n" );
document.write( "Question content area bottom<BR>\n" );
document.write( "Part 1<BR>\n" );
document.write( "The probability that the mean height for the sample is greater than 64 inches is enter your response here. </SPAN>\n" );
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document.write( "mu = 63.7 = population mean height<BR>\n" );
document.write( "n = 70 = sample size<BR>\n" );
document.write( "sigma = 2.91 = population standard deviation of the heights<BR>\n" );
document.write( "xbar = sample mean\r<BR>\n" );
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document.write( "We want to know the value of P(xbar > 64)\r<BR>\n" );
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document.write( "Let's find the z score for xbar = 64<BR>\n" );
document.write( "z = (xbar - mu)/(sigma/sqrt(n))<BR>\n" );
document.write( "z = (64 - 63.7)/(2.91/sqrt(70))<BR>\n" );
document.write( "z = 0.86253610982893<BR>\n" );
document.write( "z = 0.86\r<BR>\n" );
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document.write( "Use a table like this one<BR>\n" );
document.write( "<a  rel=nofollow HREF= \"https://www.ztable.net/\">https://www.ztable.net/</a><BR>\n" );
document.write( "to find that<BR>\n" );
document.write( "P(Z < 0.86) = 0.80511<BR>\n" );
document.write( "which leads to<BR>\n" );
document.write( "P(Z > 0.86) = 1-P(Z < 0.86)<BR>\n" );
document.write( "P(Z > 0.86) = 1-0.80511<BR>\n" );
document.write( "P(Z > 0.86) = 0.19489<BR>\n" );
document.write( "which gets us back to<BR>\n" );
document.write( "P(xbar > 64) = 0.19489<BR>\n" );
document.write( "You can use a z calculator if you require more accuracy.\r<BR>\n" );
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document.write( "Answer: Approximately 0.19489<BR>\n" );
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document.write( " </SPAN>\n" );
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