document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1183057>Question 1183057</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given the sample mean = 22.625, sample standard deviation = 4.9339, and N = 40 for the low income group,<BR>\n" );
document.write( "Test the claim that the mean nickel diameter drawn by children in the low income group is greater than 21.21 mm.<BR>\n" );
document.write( "Teat at the 0.05 significance level.\r<BR>\n" );
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document.write( "a) Identify the correct alternative hypothesis: = > 21.21\r<BR>\n" );
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document.write( "Give all answers  correct to 3 decimal places.\r<BR>\n" );
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document.write( "b) The test statistic value is:\r<BR>\n" );
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document.write( "c) Using the Traditional method, the critical value is:<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 #813243 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=813243\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the sample mean is 22.625 and the sample standard deviation is 4.9339.<BR>\n" );
document.write( "the sample size is 40.<BR>\n" );
document.write( "test mean is 21.21 and test is whether the sample mean is greater than that.\r<BR>\n" );
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document.write( "test is whether sample mean is greater than test mean.\r<BR>\n" );
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document.write( "standard error = sample standard deviation / sqrt(sample size) = 4.9339 / sqrt(40) = .780118 rounded to 6 decimal places.\r<BR>\n" );
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document.write( "t-score = (x - m) / s<BR>\n" );
document.write( "x is the samplemean.<BR>\n" );
document.write( "m is the test mean<BR>\n" );
document.write( "s is the stnadard error\r<BR>\n" );
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document.write( "t = (22.625 - 21.21) / .780118 = 1.814 rounded to 3 decimal places.\r<BR>\n" );
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document.write( "critical p-value is .05<BR>\n" );
document.write( "test is one tailed, therefore critical p-value is .05 on the high end, because the test is whether the sample mean is greater than the test mean.\r<BR>\n" );
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document.write( "h0 = 21.21<BR>\n" );
document.write( "ha = 22.625\r<BR>\n" );
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document.write( "degrees of freedom = 40 minus 1 = 39\r<BR>\n" );
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document.write( "p-value for area to the right of t-value of 1.814 with 39 degrees of freedom is .0387 rounded to 4 decimal places.\r<BR>\n" );
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document.write( "since this is less than .05, results are significant and alternate hypothesis is accepted.\r<BR>\n" );
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document.write( "here are the results from the t-test calculator at <a  rel=nofollow HREF= \"https://www.socscistatistics.com/pvalues/tdistribution.aspx\" target = \"_blank\">https://www.socscistatistics.com/pvalues/tdistribution.aspx</a>\r<BR>\n" );
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document.write( "test statistic is t-value of 1.814 rounded to 3 decimal places.<BR>\n" );
document.write( "test p-value is .039 rounded to 3 decimal places.\r<BR>\n" );
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document.write( "any questions, send me a message.\r<BR>\n" );
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