Homework SourseCreate an inferential statistics hypothesis test using the f
Create an inferential statistics (hypothesis) test using the following variables:
H0: Purchasing yellow barrels (IV) will not increase sales (DV) for Monkey Business Inc.
H1: Purchasing yellow barrels (IV) will increase sales (DV) for Monkey Business Inc.
Determine the appropriate statistical tool to test the hypothesis.
Conduct a hypothesis test with a 95% confidence level, using the statistical tool.
Provide a step by step calculation that leads to a decision to reject or not to reject the hypotheses.
Mock data to use in the percentage change in favor of a yellow barrel testing below:
Days
Yellow
Blue
Percentage Change in Favor of a Yellow Barrel
1
50
62
-24.00
2
42
58
-38.10
3
51
53
-3.92
4
73
48
34.25
5
64
54
15.63
6
55
51
7.27
7
50
50
0.00
8
49
61
-24.49
9
40
55
-37.50
10
55
59
-7.27
11
68
72
-5.88
12
70
57
18.57
13
58
61
-5.17
14
54
49
9.26
15
50
62
-24.00
16
61
64
-4.92
17
55
53
3.64
18
62
59
4.84
19
64
54
15.63
20
55
57
-3.64
21
50
58
-16.00
22
61
43
29.51
23
48
58
-20.83
24
51
64
-25.49
25
69
48
30.43
26
64
54
15.63
27
54
49
9.26
28
51
50
1.96
1,574
1,563
Total
3,137
Mock data to use in the percentage change in barrel sales after implementing a yellow barrel for sale testing below:
Before With Only Blue Barrel
After With Both Colors
Percentage Change in Barrel Sales
$ 1,574
$ 1,679
6.25
$ 1,349
$ 1,499
10.00
$ 1,424
$ 1,559
8.65
$ 1,649
$ 1,814
9.09
$ 1,799
$ 1,769
-1.69
$ 1,724
$ 1,589
-8.49
$ 1,589
$ 1,499
-6.00
$ 1,484
$ 1,649
10.00
$ 1,679
$ 1,424
-17.89
$ 1,514
$ 1,709
11.40
$ 1,799
$ 2,099
14.29
$ 1,769
$ 1,904
7.09
$ 1,724
$ 1,784
3.36
$ 1,574
$ 1,544
-1.94
$ 1,439
$ 1,679
14.29
$ 1,574
$ 1,874
16.00
$ 1,649
$ 1,619
-1.85
$ 1,799
$ 1,814
0.83
$ 1,724
$ 1,769
2.54
$ 1,589
$ 1,679
5.36
$ 1,484
$ 1,619
8.33
$ 1,679
$ 1,559
-7.69
$ 1,514
$ 1,589
4.72
$ 1,799
$ 1,724
-4.35
$ 1,769
$ 1,754
-0.85
$ 1,799
$ 1,769
-1.69
$ 1,724
$ 1,544
-11.65
$ 1,379
$ 1,514
8.91
$ 45,570
$ 47,024
3.09
Total
$ 92,593
| Days | Yellow | Blue | Percentage Change in Favor of a Yellow Barrel |
| 1 | 50 | 62 | -24.00 |
| 2 | 42 | 58 | -38.10 |
| 3 | 51 | 53 | -3.92 |
| 4 | 73 | 48 | 34.25 |
| 5 | 64 | 54 | 15.63 |
| 6 | 55 | 51 | 7.27 |
| 7 | 50 | 50 | 0.00 |
| 8 | 49 | 61 | -24.49 |
| 9 | 40 | 55 | -37.50 |
| 10 | 55 | 59 | -7.27 |
| 11 | 68 | 72 | -5.88 |
| 12 | 70 | 57 | 18.57 |
| 13 | 58 | 61 | -5.17 |
| 14 | 54 | 49 | 9.26 |
| 15 | 50 | 62 | -24.00 |
| 16 | 61 | 64 | -4.92 |
| 17 | 55 | 53 | 3.64 |
| 18 | 62 | 59 | 4.84 |
| 19 | 64 | 54 | 15.63 |
| 20 | 55 | 57 | -3.64 |
| 21 | 50 | 58 | -16.00 |
| 22 | 61 | 43 | 29.51 |
| 23 | 48 | 58 | -20.83 |
| 24 | 51 | 64 | -25.49 |
| 25 | 69 | 48 | 30.43 |
| 26 | 64 | 54 | 15.63 |
| 27 | 54 | 49 | 9.26 |
| 28 | 51 | 50 | 1.96 |
| 1,574 | 1,563 | ||
| Total | 3,137 |
Solution
1. Suitable test statistic is paired t test.
2. Enter the data in Minitab and go to Stat> Basic statistics> Paired. Select \'Samples in each column\' and click OK.
The 95% confidence interval is (-5.93,10.91)
The p value is 0.548, which is not less than significance level, alpha=0.05. Therefore, fail to reject null hypothesis.
