Statistics For Decision Making W5 *Excel*

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Week5ExerciseRequirementPost.xlsx

Regression Analysis

CUSTOMERS IN PAST 6 MONTHS
Customer # # Visits $ Purchases
1 7 450
2 6 395
3 6 470
4 2 210
5 10 550
6 4 345
7 6 345
8 3 210
9 4 293
10 1 119
11 3 211
12 9 479
13 7 430
14 7 405
15 6 359
16 10 544
17 9 522
18 5 327
19 6 353
20 7 405
21 4 289
22 7 386
23 7 403
24 2 215
25 7 416
26 9 485
27 3 333
28 7 255
29 2 391
30 6 268

Generate a scatter plot, the correlation coefficient and the linear equation that evaluates whether a relationship exists between the number of times a customer visited the store in the past 6 months and the total amount of money the customer spent. Complete the five step hypothesis test to evaluate the strength of the relationship between the two variables (test for possibility the slope can go to zero). Complete all five steps of the hypothesis testing process for the slope. Use a level of significance of .05. Predict the amount a customer will spend if they visit the store 5 times.

T test

Week # Weekly Sales($) - Rep A Weekly Sales($) - Rep B
1 4600 5600
2 6200 3000
3 3565 2550
4 5235 4750
5 4350 3740
6 2552 2315
7 6950 1957
8 7844 1629
9 6898 2416
10 4200 2500
11 6884 4237
12 4007 6322
13 7214 3725
14 2358 5890
15 7745 5119
16 1337 5184
17 1052 3439
18 6052 4828
19 1495 3667
20 3530 3518
21 4749 6073
22 3833 5566
23 7869 4555
24 4541 5867
25 6882 6039
26 3868 1032
27 5934 4834
28 4447 3687
29 5504 5500
30 5554 4659

You want to determine whether there is a statistically different average weekly sales between Sales Rep A and Sales Rep B. Create Null and Alternative Hypothesis statements that would allow you to determine whether or not their sales performance is statistically different. Use a significance level of .05 to conduct a t-test of independent samples to compare the average weekly sales of the two candidates. Complete all five steps of the process.

Chi Square Test

Observed Expected
10 6.2
23 20
39 47.782
40 47.55
27 20.026
3 3.2

A real estate company is analyzing the selling prices of residential homes in a given community. 140 homes that have been sold in the past month are randomly selected and their selling prices recorded. The statistician working on the project has stated that in order to perform various statistical tests, the data must be distributed according to a normal distribution. In order to determine whether the selling prices of homes included in the random sample are normally distributed, the statistician divides the data into 6 classes of equal size and records the number of observations in each class. She then performs a chi-square goodness-of-fit test for normal distribution. The results are summarized in the table. Complete the five step hypothesis Chi Square Goodness of fit test at level of significance 0.05.