You manage Human Relations for your company. One of your sales managers has retired, leaving an opening.
You manage Human Relations for your company. One of your sales managers has retired, leaving an opening. You are considering two different employees for the position. Both are highly qualified, so you have decided to evaluate their sales performance for the past year.
Using the Week 4 Data Set, create and calculate the following in Excel®:
- Determine the range of values in which you would expect to find the average weekly sales for the entire sales force in your company 90% of the time, and calculate the following:
- The impact of increasing the confidence level to 95%
- The impact of increasing the sample size to 150, assuming the same mean and standard deviation, but allowing the confidence level to remain at 90%
- Based on the calculated confidence interval for weekly sales on the sample of 50 reps at a 90% confidence level, calculate the following:
- Both reps’ average weekly performance, highlighting if it is greater than the population mean
- In order to decide who to promote, determine whether there is a statistically different average weekly sales between Sales Rep A and Sales Rep B by doing the following:
- Create null and alternative hypothesis statements that would allow you to determine whether their sales performance is statistically different or not.
- Use a significance level of .05 to conduct a t-test of independent samples to compare the average weekly sales of the two candidates.
- Calculate the p-value.
- Considering the individual you did not promote, do the following:
- Determine whether this person’s average weekly sales are greater than the average weekly sales for the 50 sales reps whose data you used to develop confidence intervals.
- Create null and alternative hypothesis statements that would allow you to determine whether this person’s weekly average sales are greater than the sample of Sales Reps.
- Use a significance level of .05 to conduct a t-test of independent samples to compare the average weekly sales of both.
- Calculate the p-value.
Please use this info below, this is the data you will need to use to complete the assignment. I also attached the spread sheet, use week 4 data to complete the assignment.
SAMPLE OF WEEKLY SALES Sales Rep # AverageWeekly Sales($) Week # Weekly Sales($) – Rep A Weekly Sales($) – Rep B 1 1228 1 4657 5839 2 7374 2 6133 2602 3 1055 3 3438 2830 4 1859 4 7394 4763 5 3938 5 4327 3740 6 1692 6 2552 2315 7 569 7 7063 1599 8 4059 8 7844 1629 9 3689 9 6898 2416 10 607 10 4003 2107 11 1370 11 6884 4237 12 3735 12 4007 6322 13 3305 13 7214 3710 14 7228 14 2358 5890 15 6279 15 7745 5119 16 1671 16 1337 5184 17 5708 17 1052 3439 18 2569 18 6056 4828 19 4163 19 1495 3667 20 1519 20 3530 3518 21 7734 21 4749 6073 22 784 22 3833 5566 23 6766 23 7869 4555 24 7261 24 4541 5867 25 5034 25 6882 6039 26 7115 26 3868 1032 27 6291 27 5934 4834 28 6287 28 4447 3687 29 2080 29 5504 5500 30 7621 30 5554 4659 31 1047 32 6517 33 5172 34 3876 35 5429 36 4538 37 3786 38 2510 39 4863 40 7246 41 1175 42 641 43 4269 44 7034 45 3406 46 2256 47 3182 48 5178 49 4428 50 1189 attached is the data sheet you will need to use as well, its the same as above date. please only use week 4 data