A study of the effect of exposure to color ( red or blue) on the ability to solv
ID: 3219141 • Letter: A
Question
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 9.67 seconds with standard deviation 3.41; the 20 subjects in the blue-colored environment had a mean time of 15.87 seconds with standard deviation 8.63. The two-sample t statistic for comparing the population means has value (±±0.001) Please simply how you get the answer please
Explanation / Answer
n1 = 20
n2 = 20
x1-bar = 9.67
x2-bar = 15.87
s1 = 3.41
s2 = 8.63
Pooled SD, s = [{(n1 - 1) s1^2 + (n2 - 1) s2^2} / (n1 + n2 - 2)] = (((20 - 1) * 3.41^2 + (20 - 1) * 8.63^2)/(20 + 20 -2)) = 6.561
SE = s * {(1 /n1) + (1 /n2)} = 6.56144039064595 * ((1/20) + (1/20)) = 2.074909637
t = (x1-bar -x2-bar)/SE = -2.988
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.