Mathematics, 06.05.2020 04:46 kprincess16r
A study of the effect of exposure to color (red or blue) on the ability to solve puzzles used 42 subjects. Half the subjects (21) 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 21 subjects in the red-colored environment had a mean time for solving the puzzles of 9.64 seconds with standard deviation 3.43; the 21 subjects in the blue-colored environment had a mean time of 15.84 seconds with standard deviation 8.65.
The two-sample t statistic for comparing the population means has value (± 0.001).
Answers: 3
= average time taken to solve the puzzle in red-colored environment.
= average time taken to solve the puzzle in blue-colored environment.
: 
   {means that there is no difference in time taken to solve both the puzzles}
: 
   {means that there is difference in time taken to solve both the puzzles}
  ~ 
= sample average time for solving the puzzles in the red-colored environment = 9.64 seconds
= sample average time for solving the puzzles in the blue-colored environment = 15.84 seconds
= sample standard deviation for red-colored environment = 3.43 seconds
= sample standard deviation for blue-colored environment = 8.65 seconds
= sample of subjects in the red-colored environment = 21
= sample of subjects in the blue-colored environment = 21
 =  
= 6.58
 ~ 
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A study of the effect of exposure to color (red or blue) on the ability to solve puzzles used 42 sub...
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