Download Revised_MATH_533_Course_Project_Part B (1) Latest Update 2023 Download To Pass A+ and more Exams Nursing in PDF only on Docsity!
Course Project – B
Revised_MATH_533_Course_Project_Part B (1)
Latest Update 2023 Download To Pass Guaranteed
A+ Top Ranked…
Course Project Part - B Math-533 Applied Managerial Statistics Speculation A: The average (mean) sales per week exceed 41.5 per salesperson : It has been speculated that an average sales per week exceeds 41.5 per salesperson. From our sample data the average (mean) sales per week for the given period was 42.34 sales. The analysis of the sample data showed that there is sufficient evidence to support the claim that the true average sale per week is greater than 41.5 per salesperson. This conclusion is further supported by the data which indicated (with 95% confidence), the actual average sales per week is somewhere between 41.6 and 43.2 per salesperson. The detail statistical analysis and methods used to support these conclusions are provided in the appendix. Key Statistics N Mea n
SE
Mean Media n Mod e St. Dev Variance Rang e Min Max 100 42. 4
Step 1: Hypotheses Ho: μ ≤ 41. Ha: μ > 41. Step 2: Level of Significance α = 0. Z Value Z0.05 = 1. Step 3& 4: Calculation Z score Test – Single Tail (Result According to Minitab) One-Sample Z Snap Shoot of Minitab is attached in Appendix I
Course Project – B
Test of μ = 41.5 vs > 41. The assumed standard deviation = 4. N Mean SE Mean 95% Lower Bound Z P 100 42.34 0.417 41.65 2.01 0. Step 5: Decision Making Decision making rule according to p value is mentioned below as: p < α. Reject H 0 and accept H 1 Or p> α. Fail to reject H 0. The calculated p value is 0.022, hence it is less than 0.05 (α), therefore rejecting the null hypothesis and accept alternate hypothesis. Calculated Z score value is 2.01 and value of α is 1.645, since Z-score value is more therefore the null hypothesis is rejected. On the other hand, the lower bound value is 41.65 in comparison to average sales is more than 41.5 per sales per week, so it’s true that the sales of every week is more than 41.5. Speculation B: Testing to the true population proportion of salespeople that received online training is less than 55%. It has been speculated that the proportion of salesperson those who received online training is less than 55%. As per the sample data the average online trained salesperson mean is 45.34. The analysis of the data showed insufficient evidence to support the claim that the proportion of salesperson who received online training is less than 55%. This conclusion is further supported by the data indicated (with 95% confidence) that the true proportion of salesperson who received online training will fall between 40% and 58 %. The detail is enclosed in appendix Step 1: Hypotheses
Course Project – B
can be said that the proportion of sales persons who received online training is less than 55% is false. Speculation C: To check the average (mean) number of calls made per week by salespeople that had no training is less than 145. It has been speculated that the average mean number of calls made by untrained salesperson is less than 145. As per the sample data the average number of calls made by the untrained sales person is 141.35. The analysis of the data showed insufficient evidence to support the claim that the call made by untrained salesperson is less than 145. This conclusion is further supported by the data indicated (with 95% confidence) that the calls made by the untrained salesperson will fall between 137.02 and 145.14. The detail is enclosed in appendix. N Mean SE Mean Media n Mode St. Dev Variance Rang e Mi n Ma x 20 141. 5
Step 1: Hypotheses Ho: μ ≥ 145 Ha: μ < 145 Step 2: Level of Significance α = 0. Z Value Z0.05 = 1. Step 3 & 4: Calculations T test – Single Tail (Result According to Minitab)
Course Project – B
Snap Shot of Minitab is enclosed in Appendix III Sum of Calls made by Un Trained Sales Persons = 2827 Mean of Calls made by Un Trained Sales Persons = 141. Standard deviation of Calls made by Un Trained Sales Persons = 9. One-Sample T Test of μ = 145 vs < 145 N Mean St Dev SE Mean 95% upper Bound T P 20 141.35 9.81 2.19 145.14 -1.66 0. Step 5: Decision Making The p value of this problem is 0.056 and it is more than 0.05 (α), so there is enough evidence to fail the null hypothesis. The value of Z-score is -1.66 and value of α is 1.645. Thus the Z-score value is less than, therefore the null hypothesis is true. On the other hand the upper bound value of Z-score is 145.14 which is more than the average mean of 145, hence it’s false that the untrained sales persons made less than 145 calls per week. Speculation D: To test the average (mean) time per call is greater than 15 minutes It has been speculated that the duration of an average call made is more than 15 minutes. As per the sample data average mean call duration was of 15.34 minutes. The analysis of the data showed that there is insufficient evidence to support the claim that an average call made is more than 15 minutes. This conclusion is further supported by the data indicated (with 95% confidence) that the average call time fall between 14.94 and 16.94. The detail analysis is enclosed in appendix.
Course Project – B
Appendix I Calculation for Speculation: A Appendix II Calculation for Speculation: B
Course Project – B
Appendix III Calculation for Answer C Appendix IV
