document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=879203>Question 879203</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.<BR>\n" );
document.write( "Convert x = 70 to z-score if Normal Distribution has mean = 50 and Standard Deviation = 10.\r<BR>\n" );
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document.write( "A)  <BR>\n" );
document.write( "0.5<BR>\n" );
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document.write( "B)  <BR>\n" );
document.write( "1.0<BR>\n" );
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document.write( "C)  <BR>\n" );
document.write( "1.5<BR>\n" );
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document.write( "D)  <BR>\n" );
document.write( "2.0<BR>\n" );
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document.write( "Question 2<BR>\n" );
document.write( "1.<BR>\n" );
document.write( "Find x-value for z-score=1.5 if Normal Distribution has mean = 50 and Standard Deviation = 10.\r<BR>\n" );
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document.write( "A)  <BR>\n" );
document.write( "65<BR>\n" );
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document.write( "B)  <BR>\n" );
document.write( "60<BR>\n" );
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document.write( "C)  <BR>\n" );
document.write( "55<BR>\n" );
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document.write( "D)  <BR>\n" );
document.write( "45<BR>\n" );
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document.write( "Question 3<BR>\n" );
document.write( "1.<BR>\n" );
document.write( "Using the Appendix table for standard normal distribution\r<BR>\n" );
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document.write( "find the area under the curve to the left of z = -1.25\r<BR>\n" );
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document.write( "A)  <BR>\n" );
document.write( "0.1432<BR>\n" );
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document.write( "B)  <BR>\n" );
document.write( "0.3461<BR>\n" );
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document.write( "C)  <BR>\n" );
document.write( "0.4574<BR>\n" );
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document.write( "D)  <BR>\n" );
document.write( "0.1056<BR>\n" );
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document.write( "Question 4<BR>\n" );
document.write( "1.<BR>\n" );
document.write( "Use Appendix Table for standard normal distribution\r<BR>\n" );
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document.write( "to find area under the curve to the right of z = 2.00\r<BR>\n" );
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document.write( "A)  <BR>\n" );
document.write( "0.4572<BR>\n" );
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document.write( "B)  <BR>\n" );
document.write( "0.0228<BR>\n" );
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document.write( "C)  <BR>\n" );
document.write( "0.1462<BR>\n" );
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document.write( "D)  <BR>\n" );
document.write( "0.5431<BR>\n" );
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document.write( "Question 5<BR>\n" );
document.write( "1.<BR>\n" );
document.write( "Use standard normal distribution table (Appendix Table II) to find\r<BR>\n" );
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document.write( "the probability that z is between -1.5 and 1.5: P(-1.5 < z < 1.5)\r<BR>\n" );
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document.write( "A)  <BR>\n" );
document.write( "0.9332<BR>\n" );
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document.write( "B)  <BR>\n" );
document.write( "0.4268<BR>\n" );
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document.write( "C)  <BR>\n" );
document.write( "0.8664<BR>\n" );
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document.write( "D)  <BR>\n" );
document.write( "0.0559<BR>\n" );
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document.write( "Question 6<BR>\n" );
document.write( "1.<BR>\n" );
document.write( "For Normal distribution with mean 50 and standard deviation 10\r<BR>\n" );
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document.write( "find probability that x will be less than 35: P(x < 35).\r<BR>\n" );
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document.write( "A)  <BR>\n" );
document.write( "0.8893<BR>\n" );
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document.write( "B)  <BR>\n" );
document.write( "0.2101<BR>\n" );
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document.write( "C)  <BR>\n" );
document.write( "0.1020<BR>\n" );
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document.write( "D)  <BR>\n" );
document.write( "0.0668<BR>\n" );
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document.write( "Question 7<BR>\n" );
document.write( "1.<BR>\n" );
document.write( "Household Income has Normal Distribution with average 44,000\r<BR>\n" );
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document.write( "and Standard Deviation = 20,000. Find the probability that\r<BR>\n" );
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document.write( "Household Income is GREATER than 56,000.\r<BR>\n" );
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document.write( "A)  <BR>\n" );
document.write( "0.1245<BR>\n" );
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document.write( "B)  <BR>\n" );
document.write( "0.2743<BR>\n" );
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document.write( "C)  <BR>\n" );
document.write( "0.4184<BR>\n" );
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document.write( "D)  <BR>\n" );
document.write( "0.6105<BR>\n" );
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document.write( "Question 8<BR>\n" );
document.write( "1.<BR>\n" );
document.write( "Number of students who graduate College every year is Normal Distribution\r<BR>\n" );
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document.write( "with mean = 400 and standard deviation 50. Find probability that this year\r<BR>\n" );
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document.write( "between 300 and 500 students will graduate College.\r<BR>\n" );
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document.write( "Tip: Convert 300 and 500 to z values, use Appendix Table II\r<BR>\n" );
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document.write( "and then apply rule: P(a < x < b) = P(x < b) - P(x < a)\r<BR>\n" );
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document.write( "A)  <BR>\n" );
document.write( "0.52<BR>\n" );
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document.write( "B)  <BR>\n" );
document.write( "0.65<BR>\n" );
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document.write( "C)  <BR>\n" );
document.write( "0.95<BR>\n" );
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document.write( "D)  <BR>\n" );
document.write( "0.81<BR>\n" );
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document.write( "Question 9<BR>\n" );
document.write( "1.<BR>\n" );
document.write( "Sample size is 64, sample mean is 50.\r<BR>\n" );
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document.write( "Assuming the population standard deviation is ?=16,\r<BR>\n" );
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document.write( "construct 95% confidence interval for population mean.\r<BR>\n" );
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document.write( "For z factor use  z?/2 = 2\r<BR>\n" );
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document.write( "A)  <BR>\n" );
document.write( "from 46 to 54<BR>\n" );
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document.write( "B)  <BR>\n" );
document.write( "from 40 to 60<BR>\n" );
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document.write( "C)  <BR>\n" );
document.write( "from 50 to 64<BR>\n" );
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document.write( "D)  <BR>\n" );
document.write( "from 35 to 65<BR>\n" );
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document.write( "1 points\r<BR>\n" );
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document.write( "Question 10<BR>\n" );
document.write( "1.<BR>\n" );
document.write( "For sample mean x = 80, sample size n = 36 and sample standard deviation s = 24\r<BR>\n" );
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document.write( "find 90% confidence interval for population mean.\r<BR>\n" );
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document.write( "This is the case when population standard deviation is not known.\r<BR>\n" );
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document.write( "Use formula on page 328 with t-value.\r<BR>\n" );
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document.write( "Find t-value in Appendix Table IV.\r<BR>\n" );
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document.write( "Tip: For confidence level 90%  ? = 1 - 0.90 = 0.10, ?/2 = 0.10/2 = 0.05\r<BR>\n" );
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document.write( "So, in Table IV use column t0.05 and line with df = n - 1 = 36 - 1 = 35.\r<BR>\n" );
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document.write( "A)  <BR>\n" );
document.write( "from 65.48 to 95.86<BR>\n" );
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document.write( "B)  <BR>\n" );
document.write( "from 75.44 to 82.16<BR>\n" );
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document.write( "C)  <BR>\n" );
document.write( "from 73.24 to 86.76<BR>\n" );
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document.write( "D)  <BR>\n" );
document.write( "from 70.18 to 88.65<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 #530595 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=530595\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Tell me do You have an TI Calculator?<BR>\n" );
document.write( "Are You checking Your answers? or not a clue?<BR>\n" );
document.write( "Question 1: z = 2   *Note: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=+blue%28x+-+mu%29%2Fblue%28sigma%29 ALIGN=MIDDLE  ALT=\"z+=+blue%28x+-+mu%29%2Fblue%28sigma%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Question 2: x = 65   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.5%2A10%2B+50 ALIGN=MIDDLE  ALT=\"1.5%2A10%2B+50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Question 3: P(z < -1.5)= .0668<BR>\n" );
document.write( "Question 4: P(z > 2)= .0228<BR>\n" );
document.write( "Question 5: P(-1.5 < z < 1.5) = .9332 -.0668<BR>\n" );
document.write( "Question 6: P(x < 35) =  P(z < -1.5)= .0668 *Note: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=+blue%28x+-+mu%29%2Fblue%28sigma%29 ALIGN=MIDDLE  ALT=\"z+=+blue%28x+-+mu%29%2Fblue%28sigma%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Below:  z = 0, z = ± 1, z= ±2 , z= ±3 are plotted.  <BR>\n" );
document.write( "The area under the normal curve to the left of a particular z-value = P(z)<BR>\n" );
document.write( "Note: z = 0 (x value: the mean) 50% of the area under the curve is to the left and 50%  to the right<BR>\n" );
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