An obedience school for dogs experimented with two methods of training. One method involved rewards (food, praise); the other involved no rewards. The dogs were randomly placed into two independent groups of 11 each. The number of sessions required to train each of 22 dogs follows. With rewards 7 21 29 13 27 8 17 23 15 18 10 No rewards 26 19 24 12 9 28 14 16 25 20 22 Use a 0.01 level of significance to test the hypothesis that the number of sessions was the same for the two groups against the alternate hypothesis that the number of sessions was not the same. (a) State the test used. sign test spearman correlation test rank-sum test runs test   answer: rank sum-test (b) Give ?. answer: 0.01 (c) Find the sample test statistic. (Use 2 decimal places.) (d) For the sign test, rank-sum test, and Spearman correlation coefficient test, find the P-value of the sample test statistic. For the runs test of randomness, find the critical values from Table 10 of Appendix II. (Use 4 decimal places.)

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An obedience school for dogs experimented with two methods of training. One method involved rewards (food, praise); the other involved no rewards. The dogs were randomly placed into two independent groups of 11 each. The number of sessions required to train each of 22 dogs follows.

With rewards 7 21 29 13 27 8 17 23 15 18 10
No rewards 26 19 24 12 9 28 14 16 25 20 22

Use a 0.01 level of significance to test the hypothesis that the number of sessions was the same for the two groups against the alternate hypothesis that the number of sessions was not the same.

(a) State the test used.
sign test
spearman correlation test
rank-sum test
runs test
 
answer: rank sum-test

(b) Give ?.
answer: 0.01

(c) Find the sample test statistic. (Use 2 decimal places.)


(d) For the sign test, rank-sum test, and Spearman correlation coefficient test, find the P-value of the sample test statistic. For the runs test of randomness, find the critical values from Table 10 of Appendix II. (Use 4 decimal places.)
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