Statistics Standard Distribution

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

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 probability the next male long jumper from State College jumps between 240 and 262 inches?

• -42%

• 42%

• 57%

• 63%

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 50th percentile.  How far did he jump?

• 0.50 inch

• 14 inches

• 50 inches

• 263 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.
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.
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

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 minimum distance a male longer jumper needs to jump to be in the top 10% of all male long jumpers from State College?

• 0.4602 inches

• 245.06 inches

• 280.94 inches

• 281.77 inches

Which of the following are the properties of a Normal Probability Distribution.

• The distribution curve is bell - shaped.

• The curve is symmetric about its center, the mean.

• The mean, the median, and the mode coincide at the center.

• The area under the curve is 1 or 100%

• The tails of the curve is asymptotic to the base line.

TRUE or FALSE: The standard normal distribution of a random variable is a normal distribution with mean =0 and standard deviation =1.

• TRUE

• FALSE