In: Statistics and Probability
| person | weight before diet | weight after diet | 
| 1 | 68 | 64 | 
| 2 | 88 | 86 | 
| 3 | 85 | 83 | 
| 4 | 89 | 86 | 
| 5 | 92 | 90 | 
The weights of a random sample of 5 people are recorded before they are introduced to the liquid protein diet (a new weight-reducing technique). Then they were instructed to follow the liquid protein diet for 3 weeks. At the end of this period, their weights (in kilograms) are again recorded. Results are given in the table: Person Weight before diet Weight after diet 1 68 64 2 88 86 3 85 83 4 89 86 5 92 90 a) Test to determine if the diet is effective at reducing weight. Use α=0 .1 . (You can use SPSS for this task.) b) Report p-value of your test. Interpret the results by using the obtained p-value.