Standard Deviation AP Statistics

To test a claim about a mean, when the population standard deviation is unknown we use:

• z procedures

• Pythagorean Theorem

• t procedures

• np > 10 and n(1-p) > 10

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.  
What is the probability the next male long jumper from State College jumps longer than 270 inches?

• 0.1888

• 0.3085

• 0.8035

• 0.3585

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.  
How far did a male long jumper for State College jump if his jump was 1.68 standard deviations below the mean?

• 236.96 inches

• 239.48 inches

• 286.52 inches

• 289.04 inches

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.  
What is the standardized score of a male jumper from State College who jumped 280 inches?

• -1.21

• -1

• 1

• 1.21

• B
• C
• D
• E

• A

• B

• C

• D

• E

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?

• 0.67 inch

• 263 inches

• 272.44 inches

• 277.25 inches

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.  
If a male long jumper from State College jumps 265 inches, what percentile does he fall in?

• 56th

• 57th

• 67th

• 79th

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. 
If a male long jumper from State College jumps 270 inches, what percent of male long jumpers jumped further than him?

• 31%

• 39%

• 69%

• 70%

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.
What is the maximum distance a male longer jumper needs to jump to be in the bottom 10% of all male long jumpers from State College?

• 0.4602 inches

• 245.06 inches

• 280.94 inches

• 281.77 inches