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<p> </p><p>Relist: I still need help. please e-mail me ASAP if you can work on my Statistic question, and I will e-mail you a clean word doc copy of the exam. Thanks</p><p>------------------------------------------------------------------------------------------------------------</p><p> </p><p><strong>Part I: Answer any 50 out of the 63 questions given below.</strong>  <strong>Be sure to show all of your work where necessary, including providing Excel output with question numbers clearly stated.</strong></p><p><strong>Questions 1-6 refer to the following:</strong>  </p><p><a name="OLE_LINK1" title="OLE_LINK1"></a>The Appliance Center has six sales representatives at their North Jacksonville outlet. Listed below is the number of refrigerators sold by each last month.</p><table border="0" cellspacing="0" cellpadding="0" width="351"><tbody><tr><td width="266" valign="bottom"><table border="0" cellspacing="0" cellpadding="0" width="251"><tbody><tr><td width="156" valign="bottom"><p align="center"><u>Sales Representative</u></p></td><td width="95" valign="bottom"><p align="center"><u>Number Sold</u></p></td></tr><tr><td width="156" valign="bottom"><p align="center">Zina Craft</p></td><td width="95" valign="bottom"><p align="center">54</p></td></tr><tr><td width="156" valign="bottom"><p align="center">Woon Junge</p></td><td width="95" valign="bottom"><p align="center">50</p></td></tr><tr><td width="156" valign="bottom"><p align="center">Ernie DeBrul</p></td><td width="95" valign="bottom"><p align="center">52</p></td></tr><tr><td width="156" valign="bottom"><p align="center">Jan Niles   </p></td><td width="95" valign="bottom"><p align="center">48</p></td></tr><tr><td width="156" valign="bottom"><p align="center">Molly Camp</p></td><td width="95" valign="bottom"><p align="center">50</p></td></tr><tr><td width="156" valign="bottom"><p align="center">Rachel Myak</p></td><td width="95" valign="bottom"><p align="center">52</p></td></tr></tbody></table><p align="center"> </p></td><td width="85" valign="bottom"><p align="center"> </p></td></tr></tbody></table><p> </p><p> </p><p>1.         How many samples of size two are possible? </p><p>2.         Select all possible samples of size two and compute the mean number sold.</p><p>3.         Organize the sample means into a frequency distribution.</p><p>4.         What is the mean of the population? What is the mean of the sample means?</p><p>5.         What is the shape of the population distribution?  Draw the sampling distribution (histogram).</p><p>6.         What is the shape of the distribution of the sample mean?  Draw the sampling distribution (histogram).</p><p> </p><p> </p><p> </p><p> </p><p> </p><p> </p><p> </p><p><strong>Questions 7-13 refer to the following:</strong></p><p> </p><p>A real estate agent developed a model to relate a house's selling price (Y) to the area of floor space (X) and the area of floor space squared.  The multiple regression equation for this model is:</p><p><strong><em>Y </em></strong><strong>= 125 - <em>3X + X<sup>2</sup></em></strong></p><p> </p><p>where:           <em>Y </em>= selling price (times $1000)</p><p><em>                      X </em>= square feet of floor space (times 100) </p><p> </p><p>7.         What is the intercept (a)?</p><p> </p><p>8.         What is the selling price of a house with 1000 square feet?</p><p> </p><p>9.         What is the selling price of a house with 1500 square feet?</p><p> </p><p>10.       What is the selling price of a house with 2000 square feet?</p><p> </p><p>11.       What is the lowest selling price of a house using this model?</p><p> </p><p>12.       What is the difference in selling prices of a house with 1600 square feet and one with     1700 square feet?</p><p> </p><p>13.       What is the difference in selling prices of a house with 1700 square feet and one with     1800 square feet?</p><p> </p><p><strong>Questions 14-17 refer to the following;</strong></p><p>David's gasoline station offers 4 cents off per gallon if the customer pays in cash and does not use a credit card. Past evidence indicates that 40% of all customers pay in cash. During a one hour period twenty-five customers buy gasoline at this station.</p><p>14.       What is the probability that at least ten pay in cash?</p><p>15.       What is the probability that no more than twenty pay in cash?</p><p>16.       What is the probability that more than ten and less than fifteen customers pay in cash?</p><p>17.       This situation is an example of <strong>what type of </strong>discrete probability distribution?  Why?</p><p>A. Continuous probability distribution</p><p>B. Poisson probability distribution</p><p>C. Binomial probability distribution</p><p>                        D. Hypergeometric  probability distribution</p><p> </p><p><strong>Questions 18-21 refer to the following:</strong></p><p> </p><p>The director of cooperative education at a state college wants to examine the effect of cooperative education job experience on marketability in the work place. She takes a random sample of four students. For these four, she finds out how many times each had a cooperative education job and how many job offers they received upon graduation. These data are presented in the table below:</p><p> </p><p><em>Student</em>                                    <em>Coop Jobs</em>                               <em>Job Offer</em></p><p>1                                             1                                              4</p><p>2                                             2                                              6</p><p>3                                             1                                              3</p><p>4                                             0                                              1</p><p> </p><p>18.       Set up a scatter diagram based on the data given above.</p><p> </p><p>19.       What are the least squares estimates of the slope and Y-intercept?</p><p> </p><p>20.       Suppose the director of cooperative education wants to obtain a 95% confidence interval estimate for the mean number of job offers received by people who have had exactly one cooperative education job. The confidence interval is from -------- to ----------.</p><p> </p><p>21.       Suppose the director of cooperative education wants to obtain a 95% prediction interval for the number of job offers received by a person who has had exactly two cooperative education jobs. The prediction interval is from -------- to --------.</p><p> </p><p><strong>Questions 22-25 refer to the following:</strong></p><p>Bottomline Ink, a forms management company, fills 100 orders a day with a 2% error rate in the completed orders. Assume this to be a binomial distribution.</p><p>22.       What is the mean for this distribution?</p><p>23.       What is the standard deviation for this distribution?</p><p>24.       What is the probability that there will be more than 5 order errors in a given day?</p><p>25.       What is the probability of less than 1 order error in a given day?</p><p> </p><p><strong>Questions 26-29 refer to the following:</strong></p><p>A survey of 144 retail stores revealed that a particular brand and model of a VCR retails for $375 with a standard deviation of $20.</p><p>26.       What is the 95% confidence interval to estimate the true cost of the VCR?</p><p>27.       What is the 99% confidence interval to estimate the true cost of the VCR?</p><p>28.       If 90% and 95% confidence intervals are developed to estimate the true cost of the VCR, what similarities would they have?</p><p>A. Point estimates</p><p>B. Z-variates</p><p>C. Standard errors</p><p>                        D. Both "A" and "C"</p><p>                        E. None of the above</p><p>29.       If 95% and 98% confidence intervals are developed to estimate the true cost of the VCR, what differences would they have?</p><p>A. Standard errors</p><p>B. Interval widths</p><p>C. Z-variates</p><p>D. Both "B" and "C"</p><p>                        E. None of the above</p><p> </p><p><strong>Questions 30-36 refer to the following:</strong></p><p>Based on the Nielsen ratings, the local CBS affiliate claims its 11:00 PM newscast reaches 41 % of the viewing audience in the area. In a survey of 100 viewers, 36% indicated that they watch the late evening news on this local CBS station.</p><p>30.       What is the null hypothesis?</p><p>31.       What is the alternate hypothesis?</p><p>32.       What is the sample proportion?</p><p>33.       What is the critical value if a = 0.01 ?</p><p>34.       What is the z-statistic?</p><p>35.       What is the critical value if the level of significance is 0.10?</p><p>36.       What is your decision if a = 0.01 ?</p><p> </p><p> </p><p><strong>Questions 37-45 refer to the following:</strong></p><p>To compare the effect of weather on sales of soft drinks, a soda manufacturer sampled two regions of the country with the following results. Is there a difference in sales between the 2 regions?</p><p><em>                                <strong>Region A</strong></em><strong> </strong><em><strong>        </strong></em><strong><em>Region B</em></strong></p><p><strong>Sample Size                 </strong>1000             1500</p><p><strong>Sales                             </strong>400               500</p><p>37.       What is the null hypothesis?</p><p>38.       What is the alternate hypothesis?</p><p>39.       What is the proportion of sales made in Market Area 1 ?</p><p>40.       What is the proportion of sales made in Market Area 2?</p><p>41.       What is the pooled<strong> </strong>estimate of the population proportion?</p><p>42.       Using the 1% level of significance, what is the critical value?</p><p>43.       What is the z-statistic?</p><p>44.       What is your decision if a = 0.01 and the z-statistic = -2.96?</p><p>45.       What is your decision if a = 0.01 and the z-statistic is -1.96?</p><p> </p><p><strong>Questions 46-53 refer to the following:</strong></p><p> </p><p>A national manufacturer of ball bearings is experimenting with two different processes for producing precision ball bearings.  It is important that the diameters be as close as possible to an industry standard.  The output from each process is sampled and the average error from the industry standard is calculated.  The results are presented below.</p><p> </p><p><em>                                         <u>Process A</u></em>                      <em><u>Process B</u></em></p><p> </p><p>Mean                                0.002mm                      0.0026mm</p><p>Standard Deviation            0.0001 mm                   0.00012mm</p><h1>Sample Size                              12                                14</h1><p> </p><p>The researcher is interested in determining whether there is evidence that the two processes yields different average errors from the industry standard.</p><p> </p><p>46.       What is the null hypothesis?</p><p> </p><p>47.       What is the alternate hypothesis?</p><p> </p><p>48.       What is the degrees of freedom?</p><p> </p><p>49.       What is the critical ‘t' value at the 1 % level of significance?</p><p> </p><p>50.       What is the computed value of t?</p><p> </p><p>51.       What is the decision at the 1% level of significance?</p><p> </p><p>52.       <u>Assume</u> calculated t to be +2.70, what would be the decision at the 0.01 level of significance?</p><p> </p><p>53.       This example is what type of test?</p><p> </p><p> </p><p><strong>Questions 54-63 refer to the following:</strong></p><p> </p><p>A sales manager for an advertising agency believes there is a relationship between the number of contacts and the amount of the sales.  To verify this belief, the following data was collected:</p><p> </p><p>                                                <em>Number of</em></p><p><em>Salesperson</em>                             <em>Contacts</em>                      <em>Sales (in thousands)</em></p><p>1                                           14                                            24</p><p>2                                           12                                            14</p><p>3                                           20                                            28</p><p>4                                           16                                            30</p><p>5                                           46                                            80</p><p>6                                           23                                            30</p><p>7                                           48                                            90</p><p>8                                           50                                            85</p><p>9                                           55                                          120</p><p>10                                         50                                          110</p><p> </p><p>54.       What is the dependent variable?</p><p> </p><p>55.       What is the independent variable?</p><p> </p><p>56.       What is the Y-intercept of the linear equation?</p><p> </p><p>57.       What is the slope of the linear equation?</p><p> </p><p>58.       What is the value of the standard error of estimate?</p><p> </p><p>59.       What is the value of the coefficient of correlation?</p><p> </p><p>60.       What is the value of the coefficient of determination?</p><p> </p><p>61.       What is the regression equation?</p><p> </p><p>62.       What is the calculated F ratio or value from the Excel regression output?</p><p> </p><p>63.       What would be the sales amount if the number of contacts was 30?</p><p> </p><p><strong>Part II             Answer any 2 out of the 3 questions given below.</strong>  <strong>Be sure to show all of your work, including providing Excel output with question numbers clearly stated.</strong></p><p><strong>A.</strong> The proportion of junior executives leaving large manufacturing companies within three years is to be estimated within 3 percent. The 0.95 degree of confidence is to be used. A study conducted several years ago revealed that the percent of junior executives leaving within three years was 21. To update this study, the files of how many junior executives should be studied?</p><p><strong>B.</strong> There are 2,000 eligible voters in a precinct. Despite protests from knowledgeable persons that a sample size of 500 was too large in relation to the total, the 500 selected at random were asked to indicate whether they planned to vote for the Democratic incumbent or the Republican challenger. Of the 500 surveyed, 350 said they were going to vote for the Democratic incumbent. Using the 0.99 confidence coefficient, what is the confidence limits for the proportion who plan to vote for the Democratic incumbent?</p><p><strong>C.</strong> A random sample of 85 group leaders, supervisors, and similar personnel revealed that on the average a person spent 6.5 years on the job before being promoted. The standard deviation of the sample was 1.7 years. Using the 0.95 degree of confidence, what is the confidence interval within which the population mean lies?</p>
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