The standard deviation of the time it takes for dogs to solve the puzzle is b. 65.16 seconds
What is the standard deviation of the time it takes for dogs to solve the puzzle?
From the question, we have the following parameters that can be used in our computation:
Score = 136.63 seconds
Average = 207 seconds
The z-score at the 14th percentile is -1.08
Also, the z-score is calculated using
z = (Score - Average)/Standard deviation
Standard deviation = (Score - Average)/z
Substitute the known values into the equation
Standard deviation = (136.63 - 207)/(-1.08)
Evaluate
Standard deviation = 65.16
Hence, the standard deviation of the time is b. 65.16 seconds
Question
Duke can solve the puzzle in roughly 136.63 seconds, which is the 14th percentile. The average time for other dogs to solve the puzzle is 207 seconds.
What is the standard deviation of the time it takes for dogs to solve the puzzle?