Normal Probability Curve

What is the area under the curve greater than z = 3.01

• .9987

• .0013

• .9990

• .001

The results for a spatial abilities test are normally distributed with a mean of 80 and standard deviation of 8. Pat scored a 76 and Chris scored a 94. What percent of individuals would score between Pat and Chris?

• 26.8%

• 34.86%

• 65.14%

• 73.2%

The average waist size for teenage males is 29 inches with a standard deviation of 1.4 inches. If waist sizes are normally distributed, what is the probability of teenagers who will have waist sizes greater than 31 inches?

• 0.9236

• 0.1050

• 0.1600

• 0.0764

A national achievement test is administered annually to 5th graders. The test has a mean score of 100 and a standard deviation of 15. If Jane's z-score is 1.20, what was her score on the test?

• 82

• 88

• 100

• 118

In Standford, CA, cars were traveling at a mean speed of 23.84 mph, with a standard deviation of 3.56 mph. One car's z-score was +3.2. How fast was that car going?

• 72.728 mph

• 12.448 mph

• 35.232 mph

• 32.563 mph

The mean temperature in Glens Falls for the month of February is 23 degrees with a standard deviation of 4.2 degrees. What is the probability that a randomly selected day will have a temperature of more than 17 degrees?

• 0.0062

• 0.0766

• 0.9234

• 0.9938

The distances male long jumpers for State College jump are approximately normal with a mean of 263 inches and a standard deviation of 14 inches. Suppose a male long jumper's jump ranked in the 75th percentile. How long was his jump?

• 261.03 inches

• 263 inches

• 272.44 inches

• 277.25 inches

The monthly phone bills in a city are normally distributed with a mean of $30 and a standard deviation of $12. What price correspond to z-scores of 3.17?

• $38.04

• $68.04

• $66.76

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

Alex's baby was in the 96th percentile for height when she was born. Given σ = 2 inches, and µ = 20 inches, how long was Alex's baby when she was born?

• 23.5 inches

• 20.15 inches

• 17.45 inches

• 37 inches