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).

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? State the null and alternate hypotheses.
(b) Compute the sample test statistic. What is the sampling distribution?
What conditions are necessary to use this distribution?
(c) Find the P-value of the sample test statistic.
(d) Conclude the test.
(e) Interpret the conclusion in the context of the application.

Transcribed Image Text:

Group A7 12 10 15 22 7 18 13 8 6 11 Group B916 30 1 33 28 19 14 24 27 3 29