A study of the effect of exposure to color (red or blue) on the ability to solve
ID: 3226237 • Letter: A
Question
A study of the effect of exposure to color (red or blue) on the ability to solve puzzles used 28 subjects. Half the subjects (14) 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 time taken to solve the puzzles was recorded for each subject. The 14 subjects in the red-colored environment had a mean time for solving the puzzles of 9.44 seconds with standard deviation 3.41; the 14 subjects in the blue-colored environment had a mean time of 15.04 seconds with standard deviation 8.69. What is the two-sample t statistic for comparing the population means? (Round your answer to two decimal places.)
Explanation / Answer
x1 = 9.44 , x2 = 15.04 , s1 = 3.41 , s2 = 8.69 , n1 = n2 =14
SE = sqrt[(s1^2/n1) + (s2^2/n2)]
SE = sqrt[(3.41^2/14) + (8.69^2/14]
= 2.494
t = [ (x1 - x2) - d ] / SE
= [ (9.44 - 15.04) - 0 ] / 2.494
= -2.245
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