document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=490312>Question 490312</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help..I have taking stats online and trying to teach myself...I am very confused on this problem....Thank you \r<BR>\n" );
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document.write( "A sample of 147 golfers showed that their average score on a particular golf course was 91.85 with a standard deviation of 3.29.  <BR>\n" );
document.write( "Answer each of the following (show all work<BR>\n" );
document.write( "and state the final answer to at least two decimal places.):<BR>\n" );
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document.write( "(A) Find the 90% confidence interval of the mean score for all 147 golfers.<BR>\n" );
document.write( "(B) Find the 90% confidence interval of the mean score for all golfers if this is a sample of 125 golfers instead of a sample of 147.<BR>\n" );
document.write( "(C) Which confidence interval is larger and why? </SPAN>\n" );
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document.write( "Answer each of the following (show all work<BR>\n" );
document.write( "and state the final answer to at least two decimal places.):\r<BR>\n" );
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document.write( "(A) Find the 90% confidence interval of the mean score for all 147 golfers.<BR>\n" );
document.write( "xbar = 91.85<BR>\n" );
document.write( "ME = 1.645*(3.29/sqrt(147) = 0.4464<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "90% CI: 91.85-0.4464 < u < 91.85+0.4464<BR>\n" );
document.write( "(91.4036,92.2964)<BR>\n" );
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document.write( "(B) Find the 90% confidence interval of the mean score for all golfers if this is a sample of 125 golfers instead of a sample of 147.<BR>\n" );
document.write( "xbar = 91.85<BR>\n" );
document.write( "ME = 1.645 = 0.4841<BR>\n" );
document.write( "(91.3659,92.3341)<BR>\n" );
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document.write( "(C) Which confidence interval is larger and why?<BR>\n" );
document.write( "The sample of 125 has a wider CI because 125 gives us <BR>\n" );
document.write( "less information than a sample of 147.<BR>\n" );
document.write( "The 125 sample has a larger margin of error(ME)<BR>\n" );
document.write( "because the ME is always twice as wide as ME.<BR>\n" );
document.write( "===============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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