In: Statistics and Probability
Two expert French chefs judged chocolate mousse made by students in a Paris cooking school. Each chef ranked the best
chocolate mousse as 1.
| 
 Student  | 
 1  | 
 2  | 
 3  | 
 4  | 
 5  | 
| 
 Rank by Chef Pierre  | 
 4  | 
 2  | 
 3  | 
 1  | 
 5  | 
| 
 Rank by Chef Andre  | 
 4  | 
 1  | 
 2  | 
 3  | 
 5  | 
Use a 5% level of significance to test whether there is a positive association between ranks given by Chef Pierre and by Chef Andre.
2.1 State the null hypothesis in words.
2.2 Compute the value of the test statistic