document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=300757>Question 300757</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2.	Assume the body temperatures of healthy adults are normally distributed with a mean of 98.20 °F and a standard deviation of 0.62 °F (based on data from the University of Maryland researchers).<BR>\n" );
document.write( "a.	If you have a body temperature of 99.00 °F, what is your percentile score?<BR>\n" );
document.write( "b.	Convert 99.00 °F to a standard score (or a z-score).<BR>\n" );
document.write( "c.	Is a body temperature of 99.00 °F unusual? Why or why not?<BR>\n" );
document.write( "d.	Fifty adults are randomly selected. What is the likelihood that the mean of their body temperatures is 97.98 °F or lower?<BR>\n" );
document.write( "e.	A person’s body temperature is found to be 101.00 °F. Is the result unusual? Why or why not? What should you conclude?<BR>\n" );
document.write( "f.	What body temperature is the 95th percentile?<BR>\n" );
document.write( "g.	What body temperature is the 5th percentile?<BR>\n" );
document.write( "h.	Bellevue Hospital in New York City uses 100.6 °F as the lowest temperature considered to indicate a fever. What percentage of normal and healthy adults would be considered to have a fever? Does this percentage suggest that a cutoff of 100.6 °F is appropriate?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #215733 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=215733\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  2. Assume the body temperatures of healthy adults are normally distributed with a mean of 98.20 °F and a standard deviation of 0.62 °F (based on data from the University of Maryland researchers).<BR>\n" );
document.write( "a. If you have a body temperature of 99.00 °F, what is your percentile score?<BR>\n" );
document.write( "Find the z-score for 99.<BR>\n" );
document.write( "Find the percent of population with a z-score that is less than<BR>\n" );
document.write( "the z-score for 99. <BR>\n" );
document.write( "The is the percentile score of 99<BR>\n" );
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document.write( "b. Convert 99.00 °F to a standard score (or a z-score).<BR>\n" );
document.write( "You've had to do that in the \"a\" problem.<BR>\n" );
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document.write( "c. Is a body temperature of 99.00 °F unusual? Why or why not?<BR>\n" );
document.write( "If its z-score is less than -2 or more than +2 it is considered<BR>\n" );
document.write( "to be \"unusual\".<BR>\n" );
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document.write( "d. Fifty adults are randomly selected. What is the likelihood that the mean of their body temperatures is 97.98 °F or lower?<BR>\n" );
document.write( "Find the z-score of 97.98 using mean = 98.2 and std = 0.62/sqrt(50)<BR>\n" );
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document.write( "e. A person’s body temperature is found to be 101.00 °F. Is the result unusual? Why or why not? What should you conclude?<BR>\n" );
document.write( "Find the z-score of 101 and make your conclusion.<BR>\n" );
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document.write( "f. What body temperature is the 95th percentile?<BR>\n" );
document.write( "Find the z-score with a left tail of 0.95.<BR>\n" );
document.write( "Convert to a temperature score using temp = z*s+u<BR>\n" );
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document.write( "g. What body temperature is the 5th percentile?<BR>\n" );
document.write( "Findt the z-score with a left tail of 5%.<BR>\n" );
document.write( "Convert to a temperature score using temp = z*s+u<BR>\n" );
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document.write( "h. Bellevue Hospital in New York City uses 100.6 °F as the lowest temperature considered to indicate a fever. What percentage of normal and healthy adults would be considered to have a fever?<BR>\n" );
document.write( "Find the z-score of 100.6.<BR>\n" );
document.write( "Find the percent population above that z-score.\r<BR>\n" );
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document.write( "Does this percentage suggest that a cutoff of 100.6 °F is appropriate? <BR>\n" );
document.write( "Make your judgement.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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