qu.1.topic=Sampling and Errors@

qu.1.1.mode=Multiple Choice@
qu.1.1.name=07. Sampling Distribution@
qu.1.1.comment=@
qu.1.1.editing=useHTML@
qu.1.1.solution=@
qu.1.1.algorithm=$Q=7;@
qu.1.1.uid=506400ee-f589-4748-ae15-4b4ff0723004@
qu.1.1.info=  Course=202;
  Type=MC;
  Algorithmic=No;
@
qu.1.1.question=<div title="UW Statistics Bank/Sampling Distribution/Sampling and Errors/Q7">The sampling distribution refers to:</div>@
qu.1.1.answer=2@
qu.1.1.choice.1=the distribution of the various sample sizes which might be used in a given study@
qu.1.1.choice.2=the distribution of the different possible values of the sample mean together with their respective probabilities of occurrence@
qu.1.1.choice.3=the distribution of the values of the items in the population@
qu.1.1.choice.4=the distribution of the values of the items actually selected in a given sample@
qu.1.1.choice.5=none of the above@
qu.1.1.fixed=4@

qu.1.2.mode=Multiple Choice@
qu.1.2.name=02. Sample Characteristics@
qu.1.2.comment=@
qu.1.2.editing=useHTML@
qu.1.2.solution=@
qu.1.2.algorithm=@
qu.1.2.uid=e1daba4f-58cc-4d2f-af65-fcb33d31868c@
qu.1.2.info=  Course=202;
  Type=MC;
  Algorithmic=no;
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qu.1.2.question=<div title="UW Statistics Bank/Sampling Distribution/Sampling and Errors/Q2">Which of the following statements is correct?</div>@
qu.1.2.answer=4@
qu.1.2.choice.1=The distribution of the values in a sample is called a sampling distribution.@
qu.1.2.choice.2=The variability of sample means is never smaller than that of the population being sampled.@
qu.1.2.choice.3=The larger the sample size is, the larger is the standard error of the mean. @
qu.1.2.choice.4=The distribution of the values of a statistic over all possible samples of fixed size is called a sampling distribution.@
qu.1.2.fixed=@

qu.1.3.mode=Multiple Choice@
qu.1.3.name=06. Sampling@
qu.1.3.comment=@
qu.1.3.editing=useHTML@
qu.1.3.solution=@
qu.1.3.algorithm=@
qu.1.3.uid=2ed6ee87-5335-4d1b-9fde-846663a7a1bd@
qu.1.3.info=  Course=202;
  Type=MC;
  Algorithmic=No;
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qu.1.3.question=<div title="UW Statistics Bank/Sampling Distribution/Sampling and Errors/Q6">Which of the following statements is <strong>NOT CORRECT</strong>?</div>@
qu.1.3.answer=2@
qu.1.3.choice.1=The sampling distribution of the sample mean describes how the sample mean will vary among repeated samples.@
qu.1.3.choice.2=If a sample of 1,000,000 families is randomly selected from all of Canada (with about 8,000,000 families) and the average family in- come is computed, then the true value of the family income for all families in Canada is known.@
qu.1.3.choice.3=Convenience sampling often leads to biases in estimates because the sample is often not representative of the population.@
qu.1.3.choice.4=The precision of a sample mean or sample proportion depends only upon the sample size (and not the population size) in a proper random sample.@
qu.1.3.choice.5=In a proper random sampling, every element of the population has a known (and often equal) chance of being selected.@
qu.1.3.fixed=@

qu.1.4.mode=Multiple Choice@
qu.1.4.name=10. CLT conditions@
qu.1.4.comment=@
qu.1.4.editing=useHTML@
qu.1.4.solution=@
qu.1.4.algorithm=@
qu.1.4.uid=d3589d73-2054-4863-b92d-d034942c732a@
qu.1.4.info=  Course=202;
  Type=MC;
  Algorithmic=No;
@
qu.1.4.question=<div title="UW Statistics Bank/Sampling Distribution/Sampling and Errors/Q10">The central limit theorem tells us that the sampling distribution of isapproximately normal. Which of the following conditions are necessary for the theorem to be valid:</div>@
qu.1.4.answer=1@
qu.1.4.choice.1=The sample size has to be large.@
qu.1.4.choice.2=We have to be sampling from a normal population.@
qu.1.4.choice.3=The population has to be symmetric.@
qu.1.4.choice.4=Population variance has to be small@
qu.1.4.choice.5=The sample size has to be large AND the population has to be symmetric. @
qu.1.4.fixed=@

qu.1.5.mode=Multiple Choice@
qu.1.5.name=09. Sample Parameters@
qu.1.5.comment=@
qu.1.5.editing=useHTML@
qu.1.5.solution=@
qu.1.5.algorithm=@
qu.1.5.uid=a7f61cec-36dc-460c-8f49-b98e8724399e@
qu.1.5.info=  Course=202;
  Type=MC;
  Algorithmic=No;
@
qu.1.5.question=<div title="UW Statistics Bank/Sampling Distribution/Sampling and Errors/Q9">A random sample of size n = 30 is taken from a population of size N = 300. Which statement is generally correct?</div>@
qu.1.5.answer=2@
qu.1.5.choice.1=&mu; is an estimate of <math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mover><mrow><mi>X</mi></mrow><mi>&minus;</mi></mover></mrow><mrow></mrow></mstyle></math>; &sigma; is an estimate of s.@
qu.1.5.choice.2=<math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mover><mrow><mi>X</mi></mrow><mi>&minus;</mi></mover></mrow><mrow></mrow></mstyle></math> is an estimate of &#956;; s is an estimate of &#963;.@
qu.1.5.choice.3=&#956; is an estimate of <math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mover><mrow><mi>X</mi></mrow><mi>&minus;</mi></mover></mrow><mrow></mrow></mstyle></math>; s is an estimate of the standard deviation of the sample mean.@
qu.1.5.choice.4=<math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mover><mrow><mi>X</mi></mrow><mi>&minus;</mi></mover></mrow><mrow></mrow></mstyle></math> is an estimate of &#956;; s is an estimate of the standard deviation of the sample mean.@
qu.1.5.choice.5=<math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mover><mrow><mi>X</mi></mrow><mi>&minus;</mi></mover></mrow><mrow></mrow></mstyle></math> is an estimate of &#956;; s is the standard error of the sample mean.@
qu.1.5.fixed=@

qu.1.6.mode=Multiple Choice@
qu.1.6.name=05. Sample mean unbiased@
qu.1.6.comment=@
qu.1.6.editing=useHTML@
qu.1.6.solution=@
qu.1.6.algorithm=@
qu.1.6.uid=f9cafb4c-761f-438b-a772-b1176f705abb@
qu.1.6.info=  Course=202;
  Type=MC;
  Algorithmic=No;
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qu.1.6.question=<div title="UW Statistics Bank/Sampling Distribution/Sampling and Errors/Q5">The sample mean is an unbiased estimator for the population mean. This means:</div>@
qu.1.6.answer=1@
qu.1.6.choice.1=The average sample mean, over all possible samples, equals the population mean.@
qu.1.6.choice.2=The sample mean has a normal distribution.@
qu.1.6.choice.3=The sample mean will only vary a little from the population mean.@
qu.1.6.choice.4=The sample mean is always very close to the population mean.@
qu.1.6.choice.5=The sample mean always equals the population mean.@
qu.1.6.fixed=@

qu.1.7.mode=Multiple Choice@
qu.1.7.name=04. Sampling Dist. & Mean@
qu.1.7.comment=@
qu.1.7.editing=useHTML@
qu.1.7.solution=@
qu.1.7.algorithm=@
qu.1.7.uid=548d6a17-b20b-491b-99a1-2e75999d64ae@
qu.1.7.info=  Course=202;
  Type=MC;
  Algorithmic=No;
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qu.1.7.question=<div title="UW Statistics Bank/Sampling Distribution/Sampling and Errors/Q4">Which of the following statements is <strong>INCORRECT</strong> about the sampling distribution of the sample mean?</div>@
qu.1.7.answer=1@
qu.1.7.choice.1=The sampling distribution shows how the sample was distributed around the sample mean.@
qu.1.7.choice.2=The sampling distribution shows how the sample mean will vary among repeated samples.@
qu.1.7.choice.3=The sample mean is unbiased for the true (unknown) population mean.@
qu.1.7.choice.4=The standard error of the sample mean is a measure of the variability of the sample mean among repeated samples.@
qu.1.7.choice.5=The standard error of the sample mean will decrease as the sample size increases.@
qu.1.7.fixed=@

qu.1.8.mode=True False@
qu.1.8.name=01. Standard Error@
qu.1.8.comment=@
qu.1.8.editing=useHTML@
qu.1.8.solution=@
qu.1.8.algorithm=$Q=1;
$S1=range(6,8);
$N1 = range(2,4);
$S2 = range(10,12);
$N2 = range(16,18);@
qu.1.8.uid=47a760dc-7274-43fc-80cc-88470fa56024@
qu.1.8.info=  Course=202;
  Type=T/F;
@
qu.1.8.question=<div title="UW Statistics Bank/Sampling Distribution/Sampling and Errors/Q$Q">A random sample of size $N1 is selected from population A which has a standard deviation of $S1 and a random sample of size $N2 is selected from population B which has a standard deviation of $S2. The standard error of the mean for the sample from population A is smaller than that for the sample from population B.</div>@
qu.1.8.answer=2@
qu.1.8.choice.1=True@
qu.1.8.choice.2=False@
qu.1.8.fixed=@

qu.1.9.mode=Multiple Choice@
qu.1.9.name=08. CLT@
qu.1.9.comment=@
qu.1.9.editing=useHTML@
qu.1.9.solution=@
qu.1.9.algorithm=@
qu.1.9.uid=23a8bc3a-0527-4259-b312-df5e0661dc7e@
qu.1.9.info=  Course=202;
  Type=MC;
  Algorithmic=No;
@
qu.1.9.question=<div title="UW Statistics Bank/Sampling Distribution/Sampling and Errors/Q8">The Central Limit Theorem states that:</div>@
qu.1.9.answer=3@
qu.1.9.choice.1=if n is large then the distribution of the sample can be approximated closely by a normal curve@
qu.1.9.choice.2=if n is large, and if the population is normal, then the variance of the sample mean must be small.@
qu.1.9.choice.3=if n is large, then the sampling distribution of the sample mean can be approximated closely by a normal curve@
qu.1.9.choice.4=if n is large, and if the population is normal, then the sampling distribution of the sample mean can be approximated closely by a normal curve@
qu.1.9.choice.5=if n is large, then the variance of the sample must be small.@
qu.1.9.fixed=@

qu.1.10.mode=Multiple Choice@
qu.1.10.name=03. Gallup Poll@
qu.1.10.comment=@
qu.1.10.editing=useHTML@
qu.1.10.solution=@
qu.1.10.algorithm=@
qu.1.10.uid=4a8f206a-e43f-4d12-a93e-f1b6223326f1@
qu.1.10.info=  Course=202;
  Type=MC;
  Algorithmic=no;
@
qu.1.10.question=<div title="UW Statistics Bank/Sampling Distribution/Sampling and Errors/Q3">The Gallup Poll has decided to increase the size of its random sample of Canadian voters from about 1500 people to about 4000 people. The effect of this increase is to:</div>@
qu.1.10.answer=3@
qu.1.10.choice.1=reduce the bias of the estimate.@
qu.1.10.choice.2=increase the standard error of the estimate.@
qu.1.10.choice.3=reduce the variability of the estimate.@
qu.1.10.choice.4=increase the confidence interval width for the parameter.@
qu.1.10.choice.5=have no effect because the population size is the same.@
qu.1.10.fixed=@

