In: Statistics and Probability
I have the following data
Week of | Expenses | Revenues | Profit |
6-Dec-04 | 103,084 | 122,533 | 19,449 |
13-Dec-04 | 99,584 | 131,036 | 31,452 |
20-Dec-04 | 94,936 | 137,813 | 42,877 |
27-Dec-04 | 100,757 | 114,495 | 13,738 |
3-Jan-05 | 102,736 | 120,579 | 17,843 |
10-Jan-05 | 94,866 | 182,122 | 87,256 |
17-Jan-05 | 96,158 | 137,983 | 41,825 |
24-Jan-05 | 97,013 | 104,668 | 7,655 |
31-Jan-05 | 97,796 | 117,807 | 20,011 |
7-Feb-05 | 106,315 | 157,735 | 51,420 |
14-Feb-05 | 92,307 | 145,685 | 53,378 |
21-Feb-05 | 89,923 | 129,758 | 39,835 |
28-Feb-05 | 100,546 | 130,642 | 30,096 |
7-Mar-05 | 99,270 | 85,895 | (13,375) |
14-Mar-05 | 98,632 | 125,994 | 27,362 |
21-Mar-05 | 100,273 | 113,194 | 12,921 |
28-Mar-05 | 100,006 | 127,209 | 27,203 |
4-Apr-05 | 105,531 | 114,713 | 9,182 |
11-Apr-05 | 92,774 | 145,468 | 52,694 |
18-Apr-05 | 103,169 | 151,959 | 48,790 |
25-Apr-05 | 105,794 | 68,623 | (37,171) |
2-May-05 | 98,534 | 126,485 | 27,951 |
9-May-05 | 97,474 | 97,000 | (474) |
16-May-05 | 102,492 | 121,350 | 18,858 |
23-May-05 | 105,295 | 137,074 | 31,779 |
30-May-05 | 99,640 | 152,589 | 52,949 |
6-Jun-05 | 101,201 | 153,171 | 51,970 |
13-Jun-05 | 99,726 | 136,244 | 36,518 |
20-Jun-05 | 96,206 | 101,012 | 4,806 |
27-Jun-05 | 100,878 | 156,135 | 55,257 |
4-Jul-05 | 99,439 | 125,567 | 26,128 |
11-Jul-05 | 95,537 | 154,901 | 59,364 |
18-Jul-05 | 105,354 | 128,439 | 23,085 |
25-Jul-05 | 89,897 | 116,745 | 26,848 |
1-Aug-05 | 91,257 | 168,639 | 77,382 |
8-Aug-05 | 104,675 | 148,706 | 44,031 |
15-Aug-05 | 93,216 | 141,687 | 48,471 |
22-Aug-05 | 102,284 | 141,879 | 39,595 |
29-Aug-05 | 103,959 | 106,889 | 2,930 |
5-Sep-05 | 97,823 | 169,328 | 71,505 |
12-Sep-05 | 97,765 | 126,747 | 28,982 |
19-Sep-05 | 108,032 | 154,728 | 46,696 |
26-Sep-05 | 101,433 | 162,576 | 61,143 |
3-Oct-05 | 96,548 | 138,661 | 42,113 |
10-Oct-05 | 93,295 | 158,689 | 65,394 |
17-Oct-05 | 100,227 | 135,165 | 34,938 |
24-Oct-05 | 97,876 | 112,240 | 14,364 |
31-Oct-05 | 102,985 | 118,904 | 15,919 |
7-Nov-05 | 100,099 | 141,778 | 41,679 |
14-Nov-05 | 102,245 | 161,104 | 58,859 |
21-Nov-05 | 102,353 | 140,226 | 37,873 |
28-Nov-05 | 105,811 | 133,108 | 27,297 |
He stated that profits from the last six months (26 weeks) before the fire are more indicative of future expected profits. He feels that only data from the last six months should be used to calculate future expected profits.To formally test Mr. James’s claim, test to see if there was a significant difference in mean weekly profits between the first 6 months of the year and the last 6 months. Use a 0.05 significance level and assume equal variances. Does this support Mr. James’s claim?