In: Statistics and Probability
A horse trainer teaches horses to jump by using two methods of
instruction. Horses being taught by method A have a lead horse that
accompanies each jump. Horses being taught by method B have no lead
horse. The table shows the number of training sessions required
before each horse performed the jumps properly.
| Method A | 
 43  | 
 23  | 
 49  | 
 44  | 
 39  | 
 22  | 
| Method B | 
 27  | 
 25  | 
 48  | 
 31  | 
 37  | 
 46  | 
| Method A | 
 47  | 
 26  | 
 29  | 
 33  | 
 36  | 
 42  | 
| Method B | 
 28  | 
 45  | 
 41  | 
 34  | 
 51  | 
Use a rank-sum test with a 10% level of significance to test the claim that there is no difference between the training sessions distributions. State the conclusion of the test and interpret your results with a 10% level of significance.
| a. | 
 Since the P-value is greater than the level of significance, the data are statistically significant. Based on this, we reject the null hypothesis.  | 
|
| b. | 
 Since the P-value is greater than the level of significance, the data are statistically significant. Based on this, we fail to reject the null hypothesis.  | 
|
| c. | 
 Since the P-value is less than the level of significance, the data are statistically significant. Based on this, we reject the null hypothesis.  | 
|
| d. | 
 Since the P-value is less than the level of significance, the data are statistically insignificant. Based on this, we fail to reject the null hypothesis.  | 
|
| e. | 
 Since the P-value is greater than the level of significance, the data are statistically insignificant. Based on this, we fail to reject the null hypothesis.  |