The degree of success at mastering a skill often depends on the method used to l

Question

The degree of success at mastering a skill often depends on the method used to learn the skill. An article reported on a study involving the following four learning methods: (1) visual contact and imagery, (2) nonvisual contact and imagery, (3) visual contact, and (4) control. There were 20 subjects randomly assigned to each method. The summary information on putting performance score is listed in the following table.

a) Let 1, 2, 3, and 4 represent the true performance score for learning methods 1, 2, 3 and 4, respectively. Calculate the corresponding 95% T-K intervals. (Give the answers to two decimal places.)

b) Select the groups of means which are not significantly different. (Select all that apply.)

4321

432

321

43

32

21

Method 1 2 3 4 x 16.40 15.25 12.05 9.10 s 2.23 3.13 2.91 2.75

Explanation / Answer

( -4.76 ,-1.14 )

b) 4321 statistically sigificantly different

432 statistically sigificantly different

321 statistically sigificantly different

43 statistically sigificantly different

32 statistically sigificantly different

21 statistically not sigificant (P value = 0.189 )

Difference Interval 1 - 2 ( -0.59 , 2.89 ) 1 - 3 ( 2.69 ,6.01 ) 1 - 4 ( 6.70,9.90 ) 2 - 3 ( 1.27,5.23 ) 2 - 4 (5.26 ,9.04 ) 3 - 4

( -4.76 ,-1.14 )

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