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) Is there sufficient evidence to conclude the mean putting performance score is not the same for the four methods? (Use Table 6 in Appendix A. Round all your intermediate calculations to two decimal places.)
There

sufficient evidence to conclude that the mean putting performance score is not the same for the four methods.

(b) 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. (Use Table 7 in Appendix A. Give the answers to two decimal places.)

Method 1 2 3 4 x 16.30 15.35 12.15 9.10 s 2.13 3.13 2.81 2.85

Explanation / Answer

Set up hypotheses as:

H0: All means are equal

Ha: atleast two means are different

Prepare anova table and calculate F

As p is 0.000, reject null hypothesis that all means are equal.

----------------------

Margin of

error

SS df MS F p Between: 642.850 3 214.283 28.239 0.000 Within: 576.696 76 7.588 Total: 1,219.546 79

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