A horse trainer teaches horses to jump by using two methods of instruction. Hors

Question

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 27 23 49 31 39 22 Method B 43 25 48 44 37 46 Method A 47 26 29 33 36 51 Method B 28 45 41 34 42 Use a rank-sum test with a 1% level of significance to test the claim that there is no difference between the training sessions distributions. The rank-sum is 151, and the critical value is 1.17. State the conclusion of the test and interpret your results with a 1% level of significance. a. 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. b. Since the P-value is less than the level of significance, the data are statistically significant. Based on this, we reject the null hypothesis. c. 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. d. 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. e. Since the P-value is greater than the level of significance, the data are statistically significant. Based on this, we reject the null hypothesis.

Explanation / Answer

as the rank sum is 151 and critical value is equal to 17 for alpha =0.01

Here P - value is greater than alpha = 0.01

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. OPtion C is correct.

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