SOLUTION: Applying the 68- 95- 99.7 Rule. When designing the placement of a CD player in a new model car, engineers must consider the forward grip reach of the driver. Women have forward gri

Question 839129: Applying the 68- 95- 99.7 Rule. When designing the placement of a CD player in a new model car, engineers must consider the forward grip reach of the driver. Women have forward grip reaches that are normally distributed with a mean of 27.0 inches and a standard deviation of 1.3 inches (based on anthropometric survey data from Gordon, Churchill et al.). Use the 68- 95- 99.7 rule to find the indicated quantity.
a. Find the percentage of women with forward grip reaches between 24.4 inches and 29.6 inches.
b. Find the percentage of women with forward grip reaches less than 30.9 inches.
c. Find the percentage of women with forward grip reaches between 27.0 inches and 28.3 inches.

Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

Hi,

27.0 inches and a standard deviation of 1.3 inches

Usimg the 68- 95- 99.7

a. Find the percentage of women with forward grip reaches between 24.4 inches and 29.6 inches. 95%

b. Find the percentage of women with forward grip reaches less than 30.9 inches. = 99.85%

c. Find the percentage of women with forward grip reaches between 27.0 inches and 28.3 inches. = 34%

For the normal distribution:

one standard deviation from the mean accounts for about 68.2% of the set

two standard deviations from the mean account for about 95.4%

and three standard deviations from the mean account for about 99.7%.

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