Statistics Normal Distribution

This data is normally distributed. What percent of the data is in the shaded region?

• 95%

• 50%

• 99.8%

• 68%

What is the the total area under the standard normal distribution curve?

• 100

• 25

• .5

• 1

The 40 yards sprint times for a soccer team are found to be normally distributed with a mean of 5.2 seconds and a standard deviation of 0.3 seconds.  What is the z-score for a player who runs a time of 5.6 seconds?

• -1.33

• 1.33

• 0.88

• 1.02

The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.

About what percent of the products last between 12 and 15 days?

• 68%

• 34%

• 16%

• 2.5%

What percent is represented by the blue area?

• 34%

• 68%

• 95%

• 99.7%

What percent is between -2 and 2?

• 68

• 95

• 99.7

• 47.5

What percent is represented by the green area?

• 68%

• 95%

• 99.7%

• 49.85

What percent is represented by the area between -1 and 2?

• 34%

• 68%

• 81.5%

• 95%

What percent is represented by the area that is greater than -3?

• 84%

• 97.5%

• 99.7%

• 99.85%

According to the empirical rule, how much of the data falls within 3 standard deviations? 

• 25%

• 68%

• 95%

• 99.7%