# 1) A z-score of z = 2.00 indicates a position in a distribution ________.

1) A z-score of z = 2.00 indicates a position in a distribution ________.

A) above the mean by a distance equal to 2 standard deviations

B) above the mean by 2 points

C) below the mean by a distance equal to 2 standard deviations

D) below the mean by 2 points

2) For a population with μ = 80 and σ = 6, the z-score corresponding to X = 86 is z = ________.

A) 6

B) -6

C) .50

D) -.50

E) 1

F) -1

3) For a population with μ = 100 and σ = 20, what is the X value corresponding to z = -0.50?

A) 90

B) 99.5

C) 80

D) -10

4) Under what circumstances would a score that is 15 points above the mean be considered an extreme score?

A) when the population mean is much smaller than 15

B) when the population standard deviation is much larger than 15

C) when the population standard deviation is much smaller than 15

D) when the population mean is much larger than 15

5) If a population with μ = 60 and σ = 8 is transformed into z-scores, then the resulting distribution of z-scores will have a mean of ________ and a standard deviation of ________.

A) 0 and 8

B) 60 and 8 (unchanged)

C) 0 and 1

D) 60 and 1

6) A population has μ = 50 and σ = 10. If these scores are transformed into z-scores, the population of z-scores will have a mean of ________ and a standard deviation of ________.

A) 0, 10

B) 50, 10

C) 0, 1

D) 50, 1

7) Last week Sarah had exams in Math and in Spanish. On the math exam, the mean was μ = 30 with σ = 10, and Sarah had a score of X = 45. On the Spanish exam, the mean was μ = 32 with σ = 5 and Sarah had a score of X = 45. For which class did Sara perform the best relative to the rest of the class? In other words, which grade is more extreme?

A) There is not enough information to determine which is the better grade.

B) Spanish

C) The grades should be the same because the two exam scores are in the same location.

D) Math

8) A set of scores has a mean of μ = 63 and a standard deviation of σ = 8. What score represents the cutoff for “extreme” scores on the low end?

A) X = 79

B) X = 47

C) X = 55

D) X = 71

E) X = 2

F) X = -2

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