25 QUESTIONS MUTILPE CHOICE
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 |
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 |
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. |
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 |
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 |
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. |
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. |
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 |
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 |
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 |
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 |
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 |
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 |
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 |
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 |
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. |
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 |
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 |
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 |
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 |
Transforming an entire distribution of scores into z-scores will not change the shape of the distribution.
Question 21 options:
True | |
False |
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 |
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 |
A positive z-score always corresponds to a score that is greater than the mean.
Question 24 options:
True | |
False |
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 |
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