document.write( "Question 242739: A local paper reports that the average number of representatives per night at a local hotel is 500. Using alpha = .01 is this claim realistic? Use the given hotels reservations listed below: 713 300 292 311 598 401 618 \n" ); document.write( "

Algebra.Com's Answer #177707 by Edwin McCravy(20060) $\"\"$ $\"About$

You can put this solution on YOUR website!
The other tutor's answer is incorrect. \r
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document.write( "  \r\n" );
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document.write( "This is a two-tail t-test. It's a t-test, not a z-test because \r\n" );
document.write( "only a small sample is given.  It's a two-tail test because nothing \r\n" );
document.write( "is said about whether it is being challenged as being either greater \r\n" );
document.write( "than 500 or less than 500, but just that it is being challenged\r\n" );
document.write( "as possibly not equal to 500.  \r\n" );
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document.write( "Let's begin by finding the rejection region:\r\n" );
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document.write( "Since this is a two tail test, the area in each tail is\r\n" );
document.write( "half of  so we look under the column for\r\n" );
document.write( ".005 in the right tail, and use 7-1 or 6 degrees of freedom,\r\n" );
document.write( "since there are 7 statistics in the data. We read there 3.707. \r\n" );
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document.write( "Now we must calculate the test statistic, t. If t is either\r\n" );
document.write( "greater than 3.707 or less than -3.707, then we will have\r\n" );
document.write( "sufficient evidence to reject the null huypothesis, otherwise\r\n" );
document.write( "we cannot reject the null hypothesis that .\r\n" );
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document.write( "Calculate:\r\n" );
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document.write( "x = 461.8571429\r\n" );
document.write( "s = 176.7761565\r\n" );
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document.write( "I assume you can do this.  If you can't, post again asking how.\r\n" );
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document.write( "Calculate the test statistic:\r\n" );
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document.write( "So t does not fall in the rejection region, so this data does not\r\n" );
document.write( "furnish us with enough evidence to reject .\r\n" );
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document.write( "So we will have to say the claim is realistic. \r\n" );
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document.write( "Edwin

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