8 (21.23) A study of the effect of exposure to color ( red or blue) on the abili

Question

8 (21.23) A study of the effect of exposure to color ( red or blue) on the ability to solve puzzles used 40 subjects. Half the subjects were asked to solve a series of puzzles while in a red colored environment. The other half were asked to solve the same series of puzzles while in a blue-colored environment. The 20 subjects in the red-colored environment had a mean time for solving the puzzles of 9.63 seconds with standard deviation 3.43 ; the 20 subjects in the blue-colored environment had a mean time of 15.88 seconds with standard deviation 8,69 The two-sample t statistic for comparing the population means has value (0.001) eBook

Explanation / Answer

Solution

t test statistic : (sample mean 1 - sample mean 2)/((s1/2n1)+(s22/n2))0.5

= (9.63-15.88)+-(3.432/20 + 8.692/20)0.5

= -2.992

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