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 28 35 19 41 37 31 38 40 22 27 36 43 Method B 42 33 24 25 44 46 34 23 48 39 45 Use a 5% level of significance to test the claim that there is no difference between the training session distributions. (a) What is the level of significance? (b) Compute the sample test statistic. (Round your answer to two decimal places.) (c) Find the P-value of the sample test statistic. (Round your answer to four decimal places.)
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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 | 28 | 35 | 19 | 41 | 37 | 31 | 38 | 40 | 22 | 27 | 36 | 43 |
| Method B | 42 | 33 | 24 | 25 | 44 | 46 | 34 | 23 | 48 | 39 | 45 |
Use a 5% level of significance to test the claim that there is no difference between the training session distributions.
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