document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1058621>Question 1058621</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.A salesperson makes four calls per day. A sample of 100 days gives the following frequencies of sales volumes. \r<BR>\n" );
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document.write( "Number of Sales	    ,	Observed Frequency (days)<BR>\n" );
document.write( "0                   ,        30<BR>\n" );
document.write( "1                   ,        32<BR>\n" );
document.write( "2                   ,        25<BR>\n" );
document.write( "3                   ,        10<BR>\n" );
document.write( "4                   ,         3<BR>\n" );
document.write( "Total		    ,       100\r<BR>\n" );
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document.write( "Records show sales are made to 30% of all sales calls. Assuming independent sales calls, the number of sales per day should follow a binomial distribution. Assume that the population has a binomial distribution with n=4, p=0.30, and x=0,1,2,3, and 4.<BR>\n" );
document.write( "(a)Compute the expected frequencies for x=0,1,2,3 and 4 by using the binomial probability function. Combine categories if necessary to satisfy the requirement that the expected frequency should be 5 or more for all categories.<BR>\n" );
document.write( "(b)Use the goodness of fit test to determine whether the assumption of a binomial distribution should be rejected. Use  = 0.05 and the degree of freedom is k – 1 where k is the number of categories.\r<BR>\n" );
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document.write( "2.From a survey of 800 supermarket shoppers, the following data have been accumulated as to their levels of education and their preference of television stations. Test at  = 0.05 to determine if the selection of a supermarket is dependent upon the level of education.\r<BR>\n" );
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document.write( "                               Level of Education	<BR>\n" );
document.write( "	   Secondary School   ,	  Bachelor    ,	  Graduate    ,	TOTAL<BR>\n" );
document.write( "UNACO	 ,        110	      ,    190	      ,      100      ,    400<BR>\n" );
document.write( "EVERRISE ,	   80	      ,    220	      ,      100      ,    400<BR>\n" );
document.write( "TOTAL	 ,        190	      ,    410	      ,      200      ,    800\r<BR>\n" );
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document.write( "3.Part variability is critical in the manufafacturing of ball bearings. Large variances in the size of the ball bearings cause bearing failure and rapid wearout. Production standards call for  a maximum variance of 0.0001 when the bearing sizes are measured ni inches. A sample iof 15 bearings shows a sample standard deviaiton of 0.14 inches.<BR>\n" );
document.write( "(a)Use  = 0.10 to determine whether the sample indicates that the maximum acceptable variance is exceeded.<BR>\n" );
document.write( "(b)Compute the 90% confidence level estimate of the variance of the ball bearings in the population.\r<BR>\n" );
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document.write( "4.The proportion of men and women who selected watching television as their most popular leisure time activity can be estimated from the following sample data.<BR>\n" );
document.write( "Gender  , 	sample size  ,	watching television<BR>\n" );
document.write( "Men     ,          800	     ,       248<BR>\n" );
document.write( "Women	,          600	     ,	     156\r<BR>\n" );
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document.write( "Test for a difference between proportion for the population of men and proportion for the population of women who selected watching television as 	their most popular leisure time activity. Conduct a hypothesis test and compute the p-value. At  = 0.10, what is your conclusion?<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 #673752 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52831)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=673752\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
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