IntroductionYour instructor will provide you with a data file that includes data on five variables:SALES represents the number of sales made this week.CALLS represents the number of sales calls...

Part B and Final


Introduction Your instructor will provide you with a data file that includes data on five variables: SALES represents the number of sales made this week. CALLS represents the number of sales calls made this week. TIME represents the average time per call this week. YEARS represents years of experience in the call center. TYPE represents the type of training the employee received. Part B: Hypothesis Testing and Confidence Intervals Complete the following four hypotheses, using α = 0.05 for each. The week 5 spreadsheet can be used in these analyses. · 1. Mean sales per week exceed 42.5 per salesperson · 2. Proportion receiving online training is less than 55% · 3 Mean calls made among those with no training is at least 145 · 4. Mean time per call is 14.7 minutes · Using the same data set from part A, perform the hypothesis test for each speculation in order to see if there is evidence to support the manager's belief. Use the Eight Steps of a Test of Hypothesis from Section 9.1 of your text book as a guide. You can use either the p-value or the critical values to draw conclusions. Be sure to explain your conclusion and interpret that to the claim in simple terms · Compute 99% confidence intervals for the variables used in each hypothesis test, and interpret these intervals. · Write a report about the results, distilling down the results in a way that would be understandable to someone who does not know statistics. Clear explanations and interpretations are critical. · All DeVry University policies are in effect, including the plagiarism policy. · Project Part B report is due by the end of Week 6. · Project Part B is worth 100 total points. See grading rubric below. Format for report: A. Summary Report (about one paragraph on each of the four speculations) B. Appendix with the calculations of the Eight Elements of a Test of Hypothesis, the p-values, and the confidence intervals. Include the Excel formulas or spreadsheet screen shots used in the calculations. Part C: Final Project: Regression and Correlation Analysis Use the dependent variable (labeled Y) and one of the independent variables (labeled X1, X2, and X3) in the data file. Select and use one independent variable throughout this analysis. Use Excel to perform the regression and correlation analysis to answer the following. The week 6 spreadsheet can be helpful in this work. 1. Generate a scatterplot for the specified dependent variable (Y) and the selected independent variable (X), including the graph of the "best fit" line. Interpret. 2. Determine the equation of the "best fit" line, which describes the relationship between the dependent variable and the selected independent variable. 3. Determine the correlation coefficient. Interpret. 4. Determine the coefficient of determination. Interpret. 5. Test the utility of this regression model by completing a hypothesis test of β=0 using α=0.10. Interpret results, including the p-value. 6. Based on the findings in steps 1-5, analyze the ability of the independent variable to predict the dependent variable. 7. Compute the confidence interval for β, using a 95% confidence level. Interpret this interval. 8. Compute the 99% confidence interval for the dependent variable, for a selected value of the independent variable. Each student can choose a value to use for the independent variable (use same value in the next step). Interpret this interval. 9. Using the same chosen value for part (8), estimate the 99% prediction interval for the dependent variable. Interpret this interval. 10. What can be said about the value of the dependent variable for values of the independent variable that are outside the range of the sample values? Explain. 11. Describe a business decision that could be made based on the results of this analysis. In other words, how might the business operations change based on these statistical results. 12. All DeVry University policies are in effect, including the plagiarism policy. 13. Final Project report is due by the end of Week 7. 14. Final Project is worth 130 total points. See grading rubric below. Summarize your results from Steps 1-11 in a 3-page report. The report should explain and interpret the results in ways that are understandable to someone who does not know statistics. Submission: The Word document, summary report should be submitted for questions 1-11. The Excel output can be included as an appendix, if needed. Format for report: C. Summary Report D. Steps 1-11 addressed with appropriate output, graphs and interpretations. Be sure to number each step 1-11. Project Data Sales (Y)Calls (X1)Time (X2)Years (X3)Type 3713116.92GROUP 4413419.43GROUP 3313919.33GROUP 4014514.72GROUP 3514915.61GROUP 4714915.81GROUP 2615014.92GROUP 3915015.33GROUP 4715116.62GROUP 2515215.03GROUP 4115214.54GROUP 4915319.03GROUP 4215414.32GROUP 4215415.31GROUP 2515517.91GROUP 4515613.23GROUP 5015715.93GROUP 4415914.62GROUP 4216113.21GROUP 4816214.54GROUP 4116417.83GROUP 6716618.91GROUP 4416812.42GROUP 4316914.05GROUP 2217014.34GROUP 4617214.73GROUP 4317513.65GROUP 4917818.32GROUP 4419216.71GROUP29 2513012.82NONE 3613111.73NONE 3513121.61NONE 3613118.50NONE 4913114.61NONE 3713210.03NONE 3813518.53NONE 2213916.94NONE 3914012.40NONE 4214017.53NONE 3714213.92NONE 2514315.41NONE 5014415.82NONE 2214519.02NONE 5014816.00NONE 6715517.91NONE 3715918.10NONE 3916014.34NONE18 4513815.32ONLINE 3614015.71ONLINE 3914417.71ONLINE 4114917.30ONLINE 4514913.51ONLINE 4215214.61ONLINE 4415315.32ONLINE 4115516.02ONLINE 4415620.00ONLINE 4015715.41ONLINE 3415814.23ONLINE 4115918.82ONLINE 4316010.94ONLINE 4416014.82ONLINE 4316117.33ONLINE 4616316.62ONLINE 4416515.73ONLINE 4416512.43ONLINE 4816714.83ONLINE 4216816.40ONLINE 4416811.05ONLINE 4117012.30ONLINE 4517014.21ONLINE 4817017.45ONLINE 4617114.95ONLINE 4817113.05ONLINE 3017317.51ONLINE 4317412.72ONLINE 4517413.62ONLINE 4017612.61ONLINE 2117717.00ONLINE 4117813.42ONLINE 4917815.13ONLINE 4917816.42ONLINE 5117816.51ONLINE 4118014.02ONLINE 4218111.54ONLINE 4818213.02ONLINE 4618315.44ONLINE 4618412.75ONLINE 5218411.44ONLINE 2118518.92ONLINE 4718613.53ONLINE 4818614.21ONLINE 4818813.60ONLINE 4818811.32ONLINE 5018914.31ONLINE 5618915.03ONLINE 4019119.05ONLINE 5219313.75ONLINE 4219413.62ONLINE 4119813.22ONLINE 4820112.51ONLINE53 4189162101522.6223100 SalesCallsTimeYears Mean 41.89Mean 162.1Mean 15.226Mean 2.23 Median43Median160.5Median14.95Median2 Mode44Mode131 and 178Mode15.3, 14.3, and 13.6Mode2 Standard Error0.8385768367Standard Error1.799466812Standard Error0.232876696Standard Error0.1406011624 Standard Deviation8.385768367Standard Deviation17.99466812Standard Deviation2.32876696Standard Deviation1.406011624 Sample Variance70.321Sample Variance323.808Sample Variance5.423Sample Variance1.977 Min 21Min 130Min 10Min 0 Max67Max201Max21.6Max5 Sum4189Sum16210Sum1522.6Sum223 Range46Range71Range11.6Range5 Summary SummarySummarySummary Sales per week 37443340354726394725414942422545504442484167444322464349442536353649373822394237255022506737394536394145424441444034414344434644444842444145484648304345402141494951414248464652214748484850564052424148 Calls per week 131134139145149149150150151152152153154154155156157159161162164166168169170172175178192130131131131131132135139140140142143144145148155159160138140144149149152153155156157158159160160161163165165167168168170170170171171173174174176177178178178178180181182183184184185186186188188189189191193194198201 Time per call this week 16.89999999999999919.39999999999999919.314.715.615.814.915.316.6000000000000011514.51914.315.317.89999999999999913.215.914.613.214.517.818.89999999999999912.41414.314.713.618.316.712.811.721.618.514.61018.516.89999999999999912.417.513.915.415.8191617.89999999999999918.10000000000000114.315.315.717.717.313.514.615.3162015.414.218.810.914.817.316.60000000000000115.712.414.816.3999999999999991112.314.217.39999999999999914.91317.512.713.612.61713.415.116.39999999999999916.51411.51315.412.711.418.89999999999999913.514.213.611.314.3151913.713.613.212.5 Group None Online 291853