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For a sample with M = 80, a score of X = 88 corresponds to z = 2

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For a sample with M = 80, a score of X = 88 corresponds to z = 2.00. What is the sample standard deviation?

Question 1 options:

	2
	4
	8
	16

Question 2 (1 point)

 

For a population with μ = 80 and σ = 6, what is the z-score corresponding to X = 68?

Question 2 options:

	–0.50
	–2.00
	+2.00
	–12.00

Question 3 (1 point)

 

Last week, Sarah had exams in math and in Spanish. On the math exam, the mean was μ = 30 with σ = 5, and Sarah had a score of X = 45. On the Spanish exam, the mean was μ = 60 with σ = 8, and Sarah had a score of X = 68. For which class should Sara expect the better grade?

Question 3 options:

	Math
	Spanish
	The grades should be the same because the two exam scores are in the same location.
	There is not enough information to determine which is the better grade.

Question 4 (1 point)

 

You have a score of X = 65 on an exam. Which set of parameters would give you the best grade on the exam?

Question 4 options:

	μ = 60 and σ = 10
	μ = 60 and σ = 5
	μ = 70 and σ = 10
	μ = 70 and σ = 5

Question 5 (1 point)

 

For a population with a mean of m = 40, a score of X = 37 corresponds to z =  –0.50. The standard deviation for the population is s = 3.

Question 5 options:

	True
	False

Question 6 (1 point)

 

Last week Tim got a score of X = 54 on a math exam with μ = 60 and σ = 8. He also got X = 49 on an English exam with μ = 55 and σ = 3, and he got X = 31 on a psychology exam with μ = 37 and σ = 4.  For which class should Tim expect the best grade?

Question 6 options:

	Math
	English
	Psychology
	All 3 grades should be the same.

Question 7 (1 point)

 

Last week Sarah had exams in math and in Spanish. On the math exam, the mean was μ = 40 with σ = 5, and Sarah had a score of X = 45. On the Spanish exam, the mean was μ = 60 with σ = 8, and Sarah had a score of X = 68. For which class should Sara expect the better grade?

Question 7 options:

	Math
	Spanish
	The grades should be the same because the two exam scores are in the same location.
	There is not enough information to determine which is the better grade.

Question 8 (1 point)

 

For a population with a standard deviation of σ = 10, what is the z-score corresponding to a score that is 5 points below the mean?

Question 8 options:

	z = 0.50
	z = 1.00
	z = –0.50
	z = –1.00

Question 9 (1 point)

 

For any distribution of scores, the location identified by z = +1 and the location identified by z = –1 are exactly the same distance from the mean.

Question 9 options:

	True
	False

Question 10 (1 point)

 

On an exam with s = 6, Tom’s score of X = 54 corresponds to z = –1.00. The mean for the exam must be m = 60.

Question 10 options:

	True
	False

Question 11 (1 point)

 

For a sample with a mean of M = 76, a score of X = 72 corresponds to z = –0.50.  The sample standard deviation is s = 8.

Question 11 options:

	True
	False

Question 12 (1 point)

 

In a population with σ = 8, a score of X = 44 corresponds to a z-score of z = –0.50. What is the population mean?

Question 12 options:

	μ = 36
	μ = 40
	μ = 48
	μ = 52

Question 13 (1 point)

 

In a sample with s = 6, a score of X = 53 corresponds to z = –0.50. The mean for this sample is M = 56.

Question 13 options:

	True
	False

Question 14 (1 point)

 

For a sample with a mean of M = 50 and a standard deviation of s = 10, a z-score of z = +2.00 corresponds to X = 70.

Question 14 options:

	True
	False

Question 15 (1 point)

 

For a sample with a standard deviation of s = 6, a z-score of z = –1.50 corresponds to a location that is 9 points above the mean.

Question 15 options:

	True
	False

Question 16 (1 point)

 

Last week Sarah had exams in math and in Spanish. On the math exam, the mean was μ = 40 with σ = 5, and Sarah had a score of X = 45. On the Spanish exam, the mean was μ = 60 with σ = 8, and Sarah had a score of X = 68. For which class should Sara expect the better grade?

Question 16 options:

	Math
	Spanish
	The grades should be the same because the two exam scores are in the same location.
	There is not enough information to determine which is the better grade.

Question 17 (1 point)

 

For a population with a standard deviation of σ = 6, what is the z-score corresponding to a score that is 12 points above the mean?

Question 17 options:

	z = 1
	z = 2
	z = 6
	z = 12

Question 18 (1 point)

 

A population of scores has μ = 44. In this population, a score of X = 40 corresponds to z = –0.50.  What is the population standard deviation?

Question 18 options:

	2
	4
	8
	–8

Question 19 (1 point)

 

For a population with a mean of m = 60 and a standard deviation of s = 8, a score of X = 56 corresponds to z =  –0.50.

Question 19 options:

	True
	False

Question 20 (1 point)

 

On an exam, Tom scored 12 points above the mean and had a z-score of +2.00. The standard deviation for the set of exam scores must be s = 6.

Question 20 options:

	True
	False

Question 21 (1 point)

 

Transforming an entire distribution of scores into z-scores will not change the shape of the distribution. 

Question 21 options:

	True
	False

Question 22 (1 point)

 

A score that is 6 points above the mean corresponds to a z-score of z = +0.50. For this population, the standard deviation is s = 3.

Question 22 options:

	True
	False

Question 23 (1 point)

 

For a population with m = 34, a score of X = 31 corresponds to z = –1.00. The standard deviation for the population is s = 6.

Question 23 options:

	True
	False

Question 24 (1 point)

 

A positive z-score always corresponds to a score that is greater than the mean.

Question 24 options:

	True
	False

Question 25 (1 point)

 

What z-score corresponds to a score that is above the mean by 2 standard deviations?

Question 25 options:

	+2
	+10
	+20
	Impossible to determine without knowing the value of the standard deviation