document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1014767>Question 1014767</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two-tailed test; 0.10 <BR>\n" );
document.write( "o Assume that the normal distribution applies and find the critical z values. <BR>\n" );
document.write( "• Use the following information to find the P-value. <BR>\n" );
document.write( "o The value of the test statistic for a right-tailed one mean z test is z = 2.50. \r<BR>\n" );
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document.write( "Use a 0.05 significance level and state the conclusion about the null hypothesis—reject the null hypothesis or fail to reject the null hypothesis. <BR>\n" );
document.write( "• Test the claim: A simple random sample of 50 adults is obtained, and each person’s red blood cell count (in cells per micro-liter) is measured. The sample mean is 5.23. The population standard deviation for red blood cell counts is 0.54. Use a 0.01 significance level to test the claim that the sample is from a population with a mean less than 5.4, which is a value often used for the upper limit of the range of normal values. What do the results suggest about the sample group? <BR>\n" );
document.write( "• Identify the null hypothesis, alternative hypothesis, test statistic, P-value or critical value(s), conclusion about the null hypothesis, and the conclusion that addresses the original claim. Use the P-value method. \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 #631095 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=631095\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two-tailed test; 0.10 <BR>\n" );
document.write( "o Assume that the normal distribution applies and find the critical z values.<BR>\n" );
document.write( "Ans:: z = +/- 1.645<BR>\n" );
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document.write( "• Use the following information to find the P-value. <BR>\n" );
document.write( "o The value of the test statistic for a right-tailed one mean z test is z = 2.50. <BR>\n" );
document.write( "Ans: p-value = p(z > 2.5) = normalcdf(2.5,100) = 0.006<BR>\n" );
document.write( "Use a 0.05 significance level and state the conclusion about the null hypothesis—reject the null hypothesis or fail to reject the null hypothesis.<BR>\n" );
document.write( "Ans: Since the p-value is less than 5%, reject Ho.<BR>\n" );
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document.write( "• Test the claim: A simple random sample of 50 adults is obtained, and each person’s red blood cell count (in cells per micro-liter) is measured. The sample mean is 5.23. The population standard deviation for red blood cell counts is 0.54. Use a 0.01 significance level to test the claim that the sample is from a population with a mean less than 5.4, which is a value often used for the upper limit of the range of normal values. What do the results suggest about the sample group?<BR>\n" );
document.write( "Ho: u >= 5.4<BR>\n" );
document.write( "Ha: u < 5.4 (claim)<BR>\n" );
document.write( "x-bar = 5.23<BR>\n" );
document.write( "test statistic = z(5.23) = (5.23-5.4)/[0.54] = -4.77<BR>\n" );
document.write( "p-value = P(z < -4.77) = 0.000000092<BR>\n" );
document.write( "Since the p-value is less than 1%, reject Ho.<BR>\n" );
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document.write( "The test results support the claim.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
document.write( "• Identify the null hypothesis, alternative hypothesis, test statistic, P-value or critical value(s), conclusion about the null hypothesis, and the conclusion that addresses the original claim. Use the P-value method.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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