document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=241296>Question 241296</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1)A sales promoter offers a special price for a scanner with a printer. The probabilities that each functions satisfactorily over three years are 0.68 and 0.72 respectively. What is the probability that at the end of the three years:\r<BR>\n" );
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document.write( "i)	Both scanner and printer will function satisfactorily? \r<BR>\n" );
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document.write( "ii)	Only the printer will be functioning? \r<BR>\n" );
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document.write( "iii)	At least one of the two machines will be functioning? State any assumptions made.\r<BR>\n" );
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document.write( " 2)240 students were asked to taste three types of cola in a random order and were not told their identity. The contingency table below shows the counts of preferred colas classified by the subject specialism of students.\r<BR>\n" );
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document.write( "	  Cola A	Cola B	Cola C<BR>\n" );
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document.write( "Mathematics	13	23	44<BR>\n" );
document.write( "			<BR>\n" );
document.write( "Economics	36	24	10<BR>\n" );
document.write( "			<BR>\n" );
document.write( "Statistics	24	8	8<BR>\n" );
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document.write( "Management	11	28	11<BR>\n" );
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document.write( "Use These data to investigate the association, if any, between a student's subject specialism and preferred cola-type. Interpret any association which exists, testing at more than one significance level.\r<BR>\n" );
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document.write( "3)The times required by three workers to perform an assembly-line task were recorded on five randomly selected occasions. Here are the times, to the nearest minute.\r<BR>\n" );
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document.write( "Hank	Joseph	Susan	<BR>\n" );
document.write( "8	8	10	<BR>\n" );
document.write( "10	9	9	<BR>\n" );
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document.write( "9	9	10	<BR>\n" );
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document.write( "11	8	11	<BR>\n" );
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document.write( "10	10	9	\r<BR>\n" );
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document.write( "Assuming the normality of populations under consideration, at the 5% significance level,\r<BR>\n" );
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document.write( "do the data provide sufficient evidence to conclude that a difference exists between the times required by three workers to perform an assembly-line task?\r<BR>\n" );
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document.write( "Your kind assistance is highly appreciated<BR>\n" );
document.write( "Bahman Mennati\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 #176767 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=176767\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1)A sales promoter offers a special price for a scanner with a printer. The probabilities that each functions satisfactorily over three years are 0.68 and 0.72 respectively. What is the probability that at the end of the three years:\r<BR>\n" );
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document.write( "i)	Both scanner and printer will function satisfactorily?<BR>\n" );
document.write( "Ans: (0.68*0.72) = 0.4896.. \r<BR>\n" );
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document.write( "ii)	Only the printer will be functioning?<BR>\n" );
document.write( "Ans: 0.72*(1-0.68) = 0.2304..<BR>\n" );
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document.write( "iii)	At least one of the two machines will be functioning? State any assumptions made.<BR>\n" );
document.write( "Ans: At least  DISABLED_event_one=  1 - P(none)<BR>\n" );
document.write( "At least  DISABLED_event_one=  1 - (1-0.72)(1-0.68) = 0.9104\r<BR>\n" );
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document.write( "-------------------------------------------------------------------------\r<BR>\n" );
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document.write( " 2)240 students were asked to taste three types of cola in a random order and were not told their identity. The contingency table below shows the counts of preferred colas classified by the subject specialism of students.\r<BR>\n" );
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document.write( "	       Cola A	Cola B	Cola C<BR>\n" );
document.write( "			<BR>\n" );
document.write( "Mathematics	13	23	44<BR>\n" );
document.write( "Economics	36	24	10<BR>\n" );
document.write( "Statistics	24	8	8<BR>\n" );
document.write( "Management	11	28	11\r<BR>\n" );
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document.write( "Use These data to investigate the association, if any, between a student's subject specialism and preferred cola-type. Interpret any association which exists, testing at more than one significance level.<BR>\n" );
document.write( "Ho: The row and column factors are independent.<BR>\n" );
document.write( "H1: They are dependent<BR>\n" );
document.write( "I ran an ANOVA-test on the data and got:<BR>\n" );
document.write( "test statistic: F = 0.05486...<BR>\n" );
document.write( "p-value: 0.9469<BR>\n" );
document.write( "Since the p-value is greater even then 10%, do not reject<BR>\n" );
document.write( "Ho at the 10% significance level.<BR>\n" );
document.write( "The row and column factors are independent.<BR>\n" );
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document.write( "3)The times required by three workers to perform an assembly-line task were recorded on five randomly selected occasions. Here are the times, to the nearest minute.\r<BR>\n" );
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document.write( "Hank	Joseph	Susan	<BR>\n" );
document.write( "8	8	10	<BR>\n" );
document.write( "10	9	9	<BR>\n" );
document.write( "			<BR>\n" );
document.write( "9	9	10	<BR>\n" );
document.write( "			<BR>\n" );
document.write( "11	8	11	<BR>\n" );
document.write( "			<BR>\n" );
document.write( "10	10	9	\r<BR>\n" );
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document.write( "Assuming the normality of populations under consideration, at the 5% significance level,\r<BR>\n" );
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document.write( "do the data provide sufficient evidence to conclude that a difference exists between the times required by three workers to perform an assembly-line task?<BR>\n" );
document.write( "Note: The data posted is too confusing to decipher.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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