Normal Distribution and Z Score

On a standardized exam, the scores are normally distributed with a mean of 75 and a standard deviation of 10. Find the z-score of a person who scored 45 on the exam.

• -3

• 3

• 1.44

• 2

On a standardized exam, the scores are normally distributed with a mean of 500 and a standard deviation of 25. Find the z-score of a person who scored 525 on the exam.

• 1

• -1

• 0

• 2

On a standardized exam, the scores are normally distributed with a mean of 51 and a standard deviation of 10. Find the z-score of a person who scored 27 on the exam.

• -2.4

• 2.4

• 1.51

• -1.51

On a standardized exam, the scores are normally distributed with a mean of 400 and a standard deviation of 40. Find the z-score of a person who scored 472 on the exam.

• 1.8

• -1.8

• 0.76

• -0.76

In a normal distribution, the z-score for the mean is 0.

• True

• False

The # of standard deviations an observation falls from the center of a Normal distribution.

• Z-score

• t-score

• Standard Error

• Percentile

The heights of students in a class follow a normal distribution with a mean of 65 inches and a standard deviation of 3 inches. John is 70 inches tall, while Sarah is 67 inches tall. Calculate the z-scores for John and Sarah and determine who is taller than their peers.

• John is relatively taller than Sarah.

• Sarah is relatively taller than John.

• John and Sarah are equally tall.

• insufficient information to determine who is relatively taller.

In this formula, the y is one of the cut points in a Normal curve.

• True

• False

Joanne's Z-score is -1.5. What does this mean?

• She didn't take the test yet.

• She scored 1.5 standard deviations below the average.

• She did better than most people.

• No clue

In a normal distribution, what does a z-score of 0 represent?

• Mode

• Median

• Standard Deviation

• Mean