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. |