A cognitive aptitude test consists of putting together a puzzle. Eleven people in group A took the test in a competitive setting (first and second to finish received a prize). Twelve people in group B took the test in a noncompetitive setting. The results follow (in minutes required to complete the puzzle). Group A 30 18 12 17 25 23 31 29 26 11 10   Group B 14 27 20 32 24 19 9 28 21 15 16 13 Use a 5% level of significance to test the claim that there is no difference in the distributions of time to complete the test. (a) What is the level of significance?   (b) Compute the sample test statistic. (Use 2 decimal places.) (c) Find the P-value of the sample test statistic. (Use 4 decimal places.)

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A cognitive aptitude test consists of putting together a puzzle. Eleven people in group A took the test in a competitive setting (first and second to finish received a prize). Twelve people in group B took the test in a noncompetitive setting. The results follow (in minutes required to complete the puzzle).

Group A 30 18 12 17 25 23 31 29 26 11 10  
Group B 14 27 20 32 24 19 9 28 21 15 16 13


Use a 5% level of significance to test the claim that there is no difference in the distributions of time to complete the test.

(a) What is the level of significance?
 
(b) Compute the sample test statistic. (Use 2 decimal places.)
(c) Find the P-value of the sample test statistic. (Use 4 decimal places.)
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