1NOTE This is a template to help you format Project Part .docx
- 1. 1 NOTE: This is a template to help you format Project Part A. I have put some explanations in red. Please delete these before submitting the assignment. All text in your submission should be black. NOTE: This assignment has been changed from what is in the Canvas shell. You are to analyze only two variables instead of 3; and only 2 pairings instead of 3. ALSO YOU MUST USE THE VARIABLES SPECIFIED IN THIS TEMPLATE. Project Part A: Descriptive Statistics By Put your name here MATH534 – Applied Managerial Statistics Prof. Bhupinder Sran Keller Graduate School of Management Put date of submission here 1. Introduction Provide the purpose of this report and an overview of its content. About 2-4 sentences. 2. Variable Name: SALES 2.1 Numerical analysis
- 2. Use the table below to display the main statistics. You can add more rows for more statistics IF you want to. Please don’t put a narrative here. Mean Put the mean here Median Put the median here Mode Put the mode here Standard deviation Put the standard deviation here 2.2 Graphical analysis Display one graph or chart that is appropriate for this data. A histogram, stem and leaf diagram or frequency distribution are good options here. However, you may select your own type. Please don’t put a narrative here. 2.3 Analysis Provide a 3-5 sentence analysis pointing out some main findings of the analysis of this variable. Don’t just restate the numbers. Try to explain how these findings might be useful for management or the organization. 3. Variable Name: CALLS 3.1 Numerical analysis Use the table below to display the main statistics. You can add more rows for more statistics IF you want to. Please don’t put a narrative here. Mean
- 3. Put the mean here Median Put the median here Mode Put the mode here Standard deviation Put the standard deviation here 3.2 Graphical analysis Display one graph or chart that is appropriate for this data. A histogram, stem and leaf diagram or frequency distribution are good options here. However, you may select your own type. Please don’t put a narrative here. 3.3 Analysis Provide a 3-5 sentence analysis pointing out some main findings of the analysis of this variable. Don’t just restate the numbers. Try to explain how these findings might be useful for management or the organization. 4. Variable Pairing: SALES vs CALLS 4.1 Graphical Analysis Since SALES and CALLS are both numeric, create a scatter plot and place it here. Please don’t put a narrative here. 4.2 Analysis Provide a 3-5 sentence analysis pointing out some main findings of the analysis of the relationship between the variables. 5. Variable Pairing: SALES and TYPE
- 4. 5.1 Graphical Analysis Display a graph showing the relationship between the two variables. TYPE is not a numeric variable, so you can’t use a scatter plot. Consider using something that displays the average sales for each type of training. Please don’t put a narrative here. 5.2 Analysis Provide a 3-5 sentence analysis pointing out some main findings of the analysis of the relationship between the variables. 6. Summary 1-2 paragraph summary of your main findings/conclusions. 1 3 NOTE: This is a template to help you format Project Part B. I have put some explanations in red. Please delete these before submitting the assignment. All text in your submission should be black. Project Part B: Hypothesis Testing By Put your name here MATH534 – Applied Managerial Statistics Prof. Bhupinder Sran Keller Graduate School of Management
- 5. Put date of submission here 1. Introduction Provide the purpose of this report and an overview of its content. NOTE FOR SECTIONS 2, 3, 4: · In these three sections, you will test three hypotheses. · The row labeled “Hypothesis statement” shows the claim being made. · Reviewing the Worksheet problems in Week 5 lecture notes (in FILES SECTION) and viewing the recordings (under DEVRY WEBEX) should help you in filling out the items for hypothesis tests in the table. Use of these resources is STRONGLY recommended. · Using the Excel calculators for weeks 4 and 5 will help you come up with the numbers you need.2. Hypothesis Test 1: Mean Sales per Week Hypothesis statement Mean sales per week exceeds 42.5 per salesperson Null and alternate hypotheses Ho: Write the null hypothesis here Ha: Write the alternate hypothesis here Use z or t? Select z or t and explain your selection. Test statistic Give value of the test statistic p-value Give value of the p-value Hypothesis test result using p-value and alpha Result of test: Reject Ho or Don’t Reject Ho – pick one of these.
- 6. Explanation: Explain your reason for the result above. Example of what the answer should look like: “Since p-value (.0327) is less than alpha (.05), we can reject Ho.” NOTE: For all hypothesis tests, use alpha=0.05 Do the results support the claim being made? Will we support the claim or not support the claim? Yes or No Explanation. Starting with the result of the hypothesis test, show how you came up with the conclusion to support or not support the claim. Please see my lecture notes for ideas on how to word this. Example of what the answer should look like: “Since we are rejecting Ho, we have support for Ha, which is the martian’s claim. Therefore, we can support the martian’s claim their average height is more than 24 inches”. 99% Confidence Interval for the mean Give the 99% confidence interval for the mean of the variable being tested above. Screenshot of the Week 5 Calculator (put a screen shot of the Week 5 calculator showing the input and results for this problem) Screenshot of the Week 4 Calculator (put a screen shot of the Week 4 calculator showing the input and results for this problem) 3. Hypothesis Test 2: Proportion of Online Training Hypothesis statement
- 7. Proportion receiving online training is less than 55% Null and alternate hypotheses Ho: Write the null hypothesis here Ha: Write the alternate hypothesis here Use z or t? Select z or t and explain your selection. Test statistic Give value of the test statistic p-value Give value of the p-value Hypothesis test result using p-value and alpha Result of test: Reject Ho or Don’t Reject Ho – pick one of these. Explanation: Explain your reason for the result above. Example of what the answer should look like: “Since p-value (.0327) is less than alpha (.05), we can reject Ho.” NOTE: For all hypothesis tests, use alpha=0.05 Do the results support the claim being made? Will we support the claim or not support the claim? Yes or No Explanation. Starting with the result of the hypothesis test, show how you came up with the conclusion to support or not support the claim. Please see my lecture notes for ideas on how to word this. Example of what the answer should look like: “Since we are rejecting Ho, we have support for Ha, which is the martian’s claim. Therefore, we can support the martian’s claim the percentage of martians that are orange is more than 33%.”. 99% Confidence Interval for the proportion Give the 99% confidence interval for proportion receiving online training.
- 8. Screenshot of the Week 5 Calculator (put a screen shot of the Week 5 calculator showing the input and results for this problem) Screenshot of the Week 4 Calculator (put a screen shot of the Week 4 calculator showing the input and results for this problem) 4. Hypothesis Test 3: Mean Calls Hypothesis statement Mean calls made among those with no training is at least 145. (NOTE: In this case we are only looking at salespeople who had no training.) Null and alternate hypotheses Ho: Write the null hypothesis here Ha: Write the alternate hypothesis here Use z or t? Select z or t and explain your selection. Test statistic Give value of the test statistic p-value Give value of the p-value Hypothesis test result using p-value and alpha Result of test: Reject Ho or Don’t Reject Ho – pick one of these. Explanation: Explain your reason for the result above. Example of what the answer should look like: “Since p-value (.0327) is less than alpha (.05), we can reject Ho.” NOTE: For all hypothesis tests, use alpha=0.05 Do the results support the claim being made? Will we support the claim or not support the claim? Yes or No
- 9. Explanation. Starting with the result of the hypothesis test, show how you came up with the conclusion to support or not support the claim. Please see my lecture notes for ideas on how to word this. Example of what the answer should look like: “Since we are rejecting Ho, we have support for Ha, which is the martian’s claim. Therefore, we can support the martian’s claim their average height is more than 24 inches”. 99% Confidence Interval for the mean Give the 99% confidence interval for proportion receiving online training. Screenshot of the Week 5 Calculator (put a screen shot of the Week 5 calculator showing the input and results for this problem) Screenshot of the Week 4 Calculator (put a screen shot of the Week 4 calculator showing the input and results for this problem) 5. Summary 1-2 paragraph summary of your findings. Don’t just restate technical details. State what we found out (i.e. end results) and what implications it has for the management. 3 Sheet1Sales (Y)Calls (X1)Time (X2)Years (X3)Type2111619.93NONE2111618.02GROUP3111819.44ONL INE3312516.92ONLINE3212918.52GROUP2913114.61GROUP 3313110.00GROUP4213119.45GROUP4013218.51GROUP3313 515.32GROUP3313616.94ONLINE4113619.33ONLINE4513715 .71GROUP4213912.41GROUP3314017.52GROUP4114013.93N
- 10. ONE4214112.23NONE4214217.03ONLINE3514317.73NONE40 14318.32NONE3214615.43GROUP3414615.81GROUP4014618. 22NONE4314616.40ONLINE4414616.51NONE4514615.63ONL INE4114718.53GROUP4214713.23GROUP4214810.52GROUP4 014914.24ONLINE4114913.23GROUP4314912.71GROUP32150 19.40GROUP4315017.43GROUP4615020.72GROUP4115118.01 NONE4315114.31GROUP4415115.22GROUP4315217.21GROU P4415216.02ONLINE4315313.23GROUP4615322.00ONLINE40 15416.43GROUP4115414.54NONE4315415.31ONLINE4315511 .23ONLINE4215618.62GROUP4315620.52ONLINE4515716.34 ONLINE4615719.32ONLINE4415813.91GROUP4415811.83ON LINE4215913.64GROUP4816015.82ONLINE4616113.23GROU P4616215.73NONE4716216.43ONLINE4316311.71GROUP4516 417.23ONLINE4416517.43ONLINE4416515.00ONLINE441651 9.22NONE4516619.55NONE4516714.54GROUP4616710.10ON LINE4616714.81ONLINE4616715.80ONLINE4816812.35ONLI NE4816815.95ONLINE4616914.83GROUP4817012.11ONLINE 4517119.42ONLINE4717117.32ONLINE4517212.63GROUP501 7313.31ONLINE4917418.30ONLINE4517518.32GROUP471751 3.92GROUP5017515.13ONLINE5117512.02ONLINE5417514.2 1ONLINE4417715.33ONLINE4817812.64ONLINE5017912.83O NLINE4618015.14NONE4918112.42ONLINE5118111.44GROU P5118217.92ONLINE4718313.03ONLINE5018311.71GROUP47 18515.22ONLINE5018516.40ONLINE4618614.13GROUP49186 17.51GROUP5318811.02ONLINE4618920.01GROUP5219013.2 3ONLINE4919113.12GROUP5419515.22ONLINE5119813.01O NLINE 4 NOTE: This is a template to help you format Project Part C. I have put some explanations in red. Please delete these before submitting the assignment. All text in your submission should be black.
- 11. Project Part C: Regression Analysis By Put your name here MATH533 – Applied Managerial Statistics Prof. Bhupinder Sran Keller Graduate School of Management Put the location of your campus here Put date of submission here 1. Introduction Provide the purpose of this report and an overview of its content (about 1 paragraph). 2. Regression Analysis Results This section presents a statistical summary of the regression analysis using the following variables: · Dependent variable: SALES (everyone must select this variable) · Independent variable: CALLS (everyone must select this variable) Use the table below to answer the questions in the COURSE PROJECT OVERVIEW page in the shell. If there is a difference in the way the questions are presented in the table and in the COURSE PROJECT OVERVIEW, please answer the questions as they are presented in the table below. To get the numbers for the table below, use the Week 6 Excel spreadsheet calculator in the shell. To get an understanding of the interpretations, please see the Week 6 lecture notes and videos.
- 12. 1. Scatter Plot Use Excel OR another software package to create a scatter plot. Copy and paste the scatter plot. Make sure the dependent variable is on the Y-axis and the independent variable is on the X-axis. The axis should show the names of the variables. 2. Regression Equation Put the regression equation here. 3. Coefficient of Correlation Give the value of the coefficient of coefficient. Explain the type and strength of the correlation. 4. Coefficient of Determination Give the value of the coefficient of determination. Interpret its value. 5. Results of the Hypothesis Test for Ho: B1 = 0 Ha: B1 ≠ 0 p-value: put the p-value Result of test: Will you reject or not reject Ho. Explain how you reached your conclusion. NOTE: For the hypothesis test use significance level of .05. 6. Interpretation of the result of the hypothesis test above Is the regression model (regression equation) significant in
- 13. predicting the dependent variable? Explain your answer based on whether or not you rejected Ho in #5 above. 7. 95% confidence interval for B1 Give 95% confidence interval for B1 (slope) 8. A. How many sales can we expect (estimate) for a sales person who made 140 calls? B. What is the 99% confidence interval for the number sales estimated above? C. What is the 99% prediction interval for the number sales made above? Estimated number of sales for someone who made 140 calls: What will the estimated/predicted sales for someone who made 140 calls? Confidence interval for estimated amount of sales: What is the 99% confidence interval for the estimate/prediction above? Prediction interval for estimated sales: What is the 99% prediction interval for the estimate/prediction above? 3. Summary Identify and describe TWO business decisions 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. Write one paragraph for each decision. Incorporate the results of your findings from section 2, but do not use technical jargon – use plain business language. 4