SOLUTION: 16. The amount of time it takes to recover physiologically from a certain kind of sudden noise is found to be normally distributed with a mean of 80 seconds and a standard deviati

Algebra ->  Probability-and-statistics -> SOLUTION: 16. The amount of time it takes to recover physiologically from a certain kind of sudden noise is found to be normally distributed with a mean of 80 seconds and a standard deviati      Log On


   



Question 928778: 16. The amount of time it takes to recover physiologically from a certain kind of sudden noise is found to be normally distributed with a mean of 80 seconds and a standard deviation of 10 seconds. Using the 50%–34%–14% figures, approximately what percentage of scores (on time to recover) will be:
Above 100?
Below 100?
Above 90?
Below 90?
Above 80?
Below 80?
Above 70?
Below 70?
Above 60?
Below 60?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
For the normal distribution: Below: z = 0, z = ± 1, z= ±2 , z= ±3 are plotted.
Area under the standard normal curve to the left of the particular z is P(z)
Note: z = 0 (x value: the mean) 50% of the area under the curve is to the left and 50% to the right

.........
mean of 80 seconds and a standard deviation of 10 seconds
Using the 50%–34%(1sd)–14%(2sd) figures
Above 100: 50 - 48 = 2%
Below 100: 98%
Above 90: 50 -34 = 16%
Below 90: 84%
Above 80: 50%
Below 80: 50%
Above 70: 34 + 50 = 84%
Below 70: 16%
Above 60: 14 + 34 + 50 = 98%
Below 60: 2%