document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=291738>Question 291738</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In an article appearing in Today’s Health a writer states that the average number of calories in a serving of popcorn is 75.  To determine if the average number of calories in a serving of popcorn is different from 75, a nutritionist selected a random sample of 20 servings of popcorn and computed the sample mean number of calories per serving to be 78 with a sample standard deviation of 7.\r<BR>\n" );
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document.write( "1)Compute the z or t value of the sample test statistic\r<BR>\n" );
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document.write( "2)At the &#61537; = .05 level of significance, does the nutritionist have enough evidence to reject the writer’s claim? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #211089 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=211089\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In an article appearing in Today’s Health a writer states that the average number of calories in a serving of popcorn is 75.<BR>\n" );
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document.write( "To determine if the average number of calories in a serving of popcorn is different from 75, a nutritionist selected a random sample of 20 servings of popcorn and computed the sample mean number of calories per serving to be 78 with a sample standard deviation of 7.<BR>\n" );
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document.write( "Ho: u = 75<BR>\n" );
document.write( "Ha: u is not equal to 75<BR>\n" );
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document.write( "1)Compute the z or t value of the sample test statistic<BR>\n" );
document.write( "t(78) = (78-75)/[7/sqrt(20)] = 1.9166<BR>\n" );
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document.write( "p-value = 2*P(t>1.9166 with df = 19) = 0.0705<BR>\n" );
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document.write( "2)At the &#61537; = .05 level of significance, does the nutritionist have enough evidence to reject the writer’s claim?<BR>\n" );
document.write( "Ans; Since the p-value is greater than 5%, fail to reject Ho.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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