Quiz about AP Statistics 2.5 Normal Distribution (Statistics in Action)

Question 1

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?

Accepted Answer

0.3085

Answer

0.1888

Answer

0.8035

Answer

0.3585

Question 2

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?

Accepted Answer

239.48 inches

Answer

236.96 inches

Answer

286.52 inches

Answer

289.04 inches

Question 3

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?

Accepted Answer

1.21

Answer

-1.21

Answer

-1

Answer

1

Question 4

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?

Accepted Answer

263 inches

Answer

0.50 inch

Answer

14 inches

Answer

50 inches

Question 5

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?

Accepted Answer

272.44 inches

Answer

0.67 inch

Answer

263 inches

Answer

277.25 inches

Question 6

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?

Accepted Answer

56th

Answer

57th

Answer

67th

Answer

79th

Question 7

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?

Accepted Answer

31%

Answer

39%

Answer

69%

Answer

70%

Question 8

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?

Accepted Answer

245.06 inches

Answer

0.4602 inches

Answer

280.94 inches

Answer

281.77 inches

Question 9

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?

Accepted Answer

42%

Answer

-42%

Answer

57%

Answer

63%

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

Accepted Answer

280.94 inches

Answer

0.4602 inches

Answer

245.06 inches

Answer

281.77 inches

AP Statistics 2.5 Normal Distribution (Statistics in Action)

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