document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=185842>Question 185842</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/1592009425/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Can you please help thank you<BR>\n" );
document.write( "1 If a court acquits every defendant, they will never commit a Type I error.<BR>\n" );
document.write( "	 <BR>\n" );
document.write( " A) <BR>\n" );
document.write( "True<BR>\n" );
document.write( "	 <BR>\n" );
document.write( " B) <BR>\n" );
document.write( "False<BR>\n" );
document.write( "2 The probability of rejecting a true null hypothesis increases as the sample size increases.<BR>\n" );
document.write( "	 <BR>\n" );
document.write( " A) <BR>\n" );
document.write( "True<BR>\n" );
document.write( "	 <BR>\n" );
document.write( " B) <BR>\n" );
document.write( "False<BR>\n" );
document.write( "				\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( " \r<BR>\n" );
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document.write( "3 For a given level of significance, the critical value of Student's t increases as n increases.<BR>\n" );
document.write( "	 <BR>\n" );
document.write( " A) <BR>\n" );
document.write( "True<BR>\n" );
document.write( "	 <BR>\n" );
document.write( " B) <BR>\n" );
document.write( "False<BR>\n" );
document.write( "				\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " \r<BR>\n" );
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document.write( "4 In a two-tailed hypothesis test with &#945; = .05, a test statistic of t = 1.813 with d.f. = 15 leads one to reject the null hypothesis of a statistical test.<BR>\n" );
document.write( "	 <BR>\n" );
document.write( " A) <BR>\n" );
document.write( "True<BR>\n" );
document.write( "	 <BR>\n" );
document.write( " B) <BR>\n" );
document.write( "False<BR>\n" );
document.write( "				\r<BR>\n" );
document.write( "\n" );
document.write( "5 The power of a test is the probability that the test will reject a false null hypothesis.<BR>\n" );
document.write( "	 <BR>\n" );
document.write( " A) <BR>\n" );
document.write( "True<BR>\n" );
document.write( "	 <BR>\n" );
document.write( " B) <BR>\n" );
document.write( "False<BR>\n" );
document.write( "				<BR>\n" );
document.write( "6 The height of the power curve shows the probability of accepting a true null hypothesis<BR>\n" );
document.write( "	 <BR>\n" );
document.write( " A) <BR>\n" );
document.write( "True<BR>\n" );
document.write( "	 <BR>\n" );
document.write( " B) <BR>\n" );
document.write( "False<BR>\n" );
document.write( "				<BR>\n" );
document.write( "7 Which is not true of p-values?<BR>\n" );
document.write( "	 <BR>\n" );
document.write( " A) <BR>\n" );
document.write( "When they are small, we want to reject Ho.<BR>\n" );
document.write( "	 <BR>\n" );
document.write( " B) <BR>\n" );
document.write( "They must be specified before the sample is taken.<BR>\n" );
document.write( "	 <BR>\n" );
document.write( " C) <BR>\n" );
document.write( "They show the chance of Type I error if we reject Ho.<BR>\n" );
document.write( "	 <BR>\n" );
document.write( " D) <BR>\n" );
document.write( "They do not require &#945; to be specified a priori.<BR>\n" );
document.write( "				\r<BR>\n" );
document.write( "\n" );
document.write( "Use the following scenario to answer questions 8 to 10.<BR>\n" );
document.write( "Dullco Manufacturing claims that its alkaline batteries last forty hours on average in a certain type of portable CD player. Tests on a random sample of 18 batteries showed a mean battery life of 37.8 hours with a standard deviation of 5.4 hours.<BR>\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( "8 The test statistic is<BR>\n" );
document.write( "	 <BR>\n" );
document.write( " A) <BR>\n" );
document.write( "-1.980<BR>\n" );
document.write( "	 <BR>\n" );
document.write( " B) <BR>\n" );
document.write( "-1.728<BR>\n" );
document.write( "	 <BR>\n" );
document.write( " C) <BR>\n" );
document.write( "-2.101<BR>\n" );
document.write( "	 <BR>\n" );
document.write( " D) <BR>\n" );
document.write( "-1.960<BR>\n" );
document.write( "				<BR>\n" );
document.write( "9 In determining the p-value for reporting the study's findings, which of the following is true?<BR>\n" );
document.write( "	 <BR>\n" );
document.write( " A) <BR>\n" );
document.write( "The p-value is less than .05.<BR>\n" );
document.write( "	 <BR>\n" );
document.write( " B) <BR>\n" );
document.write( "The p-value is equal to .05.<BR>\n" );
document.write( "	 <BR>\n" );
document.write( " C) <BR>\n" );
document.write( "The p-value is greater than .05.<BR>\n" );
document.write( "	 <BR>\n" );
document.write( " D) <BR>\n" );
document.write( "The p-value cannot be determined without specifying &#945;.<BR>\n" );
document.write( "				<BR>\n" );
document.write( "10 In a left-tailed test at &#945; = .05 we would<BR>\n" );
document.write( "	 <BR>\n" );
document.write( " A) <BR>\n" );
document.write( "comfortably reject the claim.<BR>\n" );
document.write( "	 <BR>\n" );
document.write( " B) <BR>\n" );
document.write( "comfortably accept the claim.<BR>\n" );
document.write( "	 <BR>\n" );
document.write( " C) <BR>\n" );
document.write( "feel uncomfortable with either decision (too close).<BR>\n" );
document.write( "	 <BR>\n" );
document.write( " D) <BR>\n" );
document.write( "switch to alpha of 0.01 for a more powerful test.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #139406 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=139406\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1 If a court acquits every defendant, they will never commit a Type I error.<BR>\n" );
document.write( "Type I is the probability you reject Ho when it is true.<BR>\n" );
document.write( "Ho for court proceedings is \"the defendent is innocent\"<BR>\n" );
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document.write( "Acquittal means the court accepts Ho.  So the answer is True<BR>\n" );
document.write( "A) <BR>\n" );
document.write( "True<BR>\n" );
document.write( "B) <BR>\n" );
document.write( "False<BR>\n" );
document.write( "---------------------------------------------<BR>\n" );
document.write( "2 The probability of rejecting a true null hypothesis increases as the sample size increases.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "As n increases the test statistic value [z*(s/sqrt(n)] will decrease<BR>\n" );
document.write( "increasing the p-value and decreasing the chance of rejecting Ho.<BR>\n" );
document.write( "Ans: False\r<BR>\n" );
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document.write( "A) <BR>\n" );
document.write( "True\r<BR>\n" );
document.write( "\n" );
document.write( "B) <BR>\n" );
document.write( "False<BR>\n" );
document.write( "------------------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "3 For a given level of significance, the critical value of Student's t increases as n increases.<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "The critical value does not depend on the size of \"n\".<BR>\n" );
document.write( "Ans: False\r<BR>\n" );
document.write( "\n" );
document.write( "A) <BR>\n" );
document.write( "True\r<BR>\n" );
document.write( "\n" );
document.write( "B) <BR>\n" );
document.write( "False<BR>\n" );
document.write( "----------------------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "4 In a two-tailed hypothesis test with &#945; = .05, a test statistic of t = 1.813 with d.f. = 15 leads one to reject the null hypothesis of a statistical test.<BR>\n" );
document.write( "Ans: False\r<BR>\n" );
document.write( "\n" );
document.write( "A) <BR>\n" );
document.write( "True\r<BR>\n" );
document.write( "\n" );
document.write( "B) <BR>\n" );
document.write( "False<BR>\n" );
document.write( "------------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "5 The power of a test is the probability that the test will reject a false null hypothesis.<BR>\n" );
document.write( "Ans: True\r<BR>\n" );
document.write( "\n" );
document.write( "A) <BR>\n" );
document.write( "True\r<BR>\n" );
document.write( "\n" );
document.write( "B) <BR>\n" );
document.write( "False<BR>\n" );
document.write( "------------------------------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "6 The height of the power curve shows the probability of accepting a true null hypothesis<BR>\n" );
document.write( "Ans: False\r<BR>\n" );
document.write( "\n" );
document.write( "A) <BR>\n" );
document.write( "True\r<BR>\n" );
document.write( "\n" );
document.write( "B) <BR>\n" );
document.write( "False<BR>\n" );
document.write( "-----------------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "7 Which is not true of p-values?\r<BR>\n" );
document.write( "\n" );
document.write( "A) <BR>\n" );
document.write( "When they are small, we want to reject Ho.<BR>\n" );
document.write( "True<BR>\n" );
document.write( "--------------\r<BR>\n" );
document.write( "\n" );
document.write( "B) <BR>\n" );
document.write( "They must be specified before the sample is taken.<BR>\n" );
document.write( "False<BR>\n" );
document.write( "---------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "C) <BR>\n" );
document.write( "They show the chance of Type I error if we reject Ho.<BR>\n" );
document.write( "False\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "D) <BR>\n" );
document.write( "They do not require &#945; to be specified a priori.<BR>\n" );
document.write( "True<BR>\n" );
document.write( "--------------------------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "Use the following scenario to answer questions 8 to 10.<BR>\n" );
document.write( "Dullco Manufacturing claims that its alkaline batteries last forty hours on average in a certain type of portable CD player. Tests on a random sample of 18 batteries showed a mean battery life of 37.8 hours with a standard deviation of 5.4 hours.\r<BR>\n" );
document.write( "\n" );
document.write( "8 The test statistic is<BR>\n" );
document.write( "t(37.8) = (37.8-40)/[5.4/sqrt(18)] = -1.7285\r<BR>\n" );
document.write( "\n" );
document.write( "A) <BR>\n" );
document.write( "-1.980\r<BR>\n" );
document.write( "\n" );
document.write( "B) <BR>\n" );
document.write( "-1.728\r<BR>\n" );
document.write( "\n" );
document.write( "C) <BR>\n" );
document.write( "-2.101\r<BR>\n" );
document.write( "\n" );
document.write( "D) <BR>\n" );
document.write( "-1.960<BR>\n" );
document.write( "----------------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "9 In determining the p-value for reporting the study's findings, which of the following is true?<BR>\n" );
document.write( "Ans: The p-value cannot be determined unless you know whether the<BR>\n" );
document.write( "test is two-tail, left, or right.  Similarly the rest of the questions<BR>\n" );
document.write( "under 9 cannot be answered.<BR>\n" );
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document.write( "\n" );
document.write( "A) <BR>\n" );
document.write( "The p-value is less than .05.\r<BR>\n" );
document.write( "\n" );
document.write( "B) <BR>\n" );
document.write( "The p-value is equal to .05.\r<BR>\n" );
document.write( "\n" );
document.write( "C) <BR>\n" );
document.write( "The p-value is greater than .05.\r<BR>\n" );
document.write( "\n" );
document.write( "D) <BR>\n" );
document.write( "The p-value cannot be determined without specifying &#945;.\r<BR>\n" );
document.write( "\n" );
document.write( "10 In a left-tailed test at &#945; = .05 we would\r<BR>\n" );
document.write( "\n" );
document.write( "A) <BR>\n" );
document.write( "comfortably reject the claim.\r<BR>\n" );
document.write( "\n" );
document.write( "B) <BR>\n" );
document.write( "comfortably accept the claim.\r<BR>\n" );
document.write( "\n" );
document.write( "C) <BR>\n" );
document.write( "feel uncomfortable with either decision (too close).\r<BR>\n" );
document.write( "\n" );
document.write( "D) <BR>\n" );
document.write( "switch to alpha of 0.01 for a more powerful test.<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );