quizlet Module 3

X = 55

A distribution with µ = 55 and σ = 6 is being standardized so that the new mean and standard deviation will be µ = 50 and σ = 10. When the distribution is standardized, which value will be obtained for a score of X = 58 from the original distribution?

µ = 70 and σ = 5

A person scores X = 65 on an exam. Which set of parameters would give this person the worst grade on the exam relative to others?

X = 95

For a population with µ = 100 and σ = 20, what is the X value corresponding to z = -0.25?

z = -0.75

For a population with µ = 40 and σ = 8, what is the z-score corresponding to X = 34?

X = 56

For a population with µ = 65 and σ = 4, what is the X value corresponding to z = -2.25?

-1.00

For a population with µ = 84 and σ = 4, what is the z-score corresponding to X = 80?

M = 31 and s = 5

For a sample of n = 20 scores, X = 25 corresponds to z = -1.20 and X = 40 corresponds to z = +1.80. What are the values for the sample mean and standard deviation?

7

For a sample with M = 66, a score of X = 55.5 corresponds to z = -1.50. What is the sample standard deviation?

This is impossible to determine based on the information provided.

For any distribution, what is the z-score corresponding to the median?

σ = 8

On an exam with µ = 52, a person has a score of X = 44. Which value for the standard deviation would give this person the highest position in the class distribution?

σ = 2

On an exam with µ = 52, a person scores X = 56. Which value for the standard deviation would give this person the highest position in the class distribution?

σ2 = 1.

The distribution of z-scores corresponding with a population of scores always has a variance of _____.

when the population standard deviation is much smaller than 15

Under which circumstance is a score that is 15 points above the mean an extreme score relatively far from the mean?

X = 40

Using z-scores, a population with µ = 37 and σ = 6 is standardized so that the new mean is µ = 50 and σ = 10. After the standardization, one individual has a score of X = 55. What was this individual's score in the original distribution?

below the mean by 1 standard deviation

Which position in a distribution corresponds to a z-score of z = -1.00?

14 points above the mean

A population distribution has σ = 6. What position in this distribution is identified by a z-score of z = +2.33?

4

A population of scores has µ = 44. In this population, a score of X = 40 corresponds to z = -1.00. What is the population standard deviation?

does have an influence on anxiety levels following threatening information.

A researcher is interested in examining whether self-affirming oneself leads to decreased anxiety in response to threatening information. The researcher conducts a research study in which an individual is self-affirmed prior to receiving threatening information. Researchers know that, on average, individuals tend to have anxiety levels of µ = 10 with a standard deviation of σ = 2 when presented with this threatening information. If a self-affirmed individual has an anxiety level of X = 5 following the threatening message, it is reasonable to conclude that self-affirmation ______.

M = 0 and s = 1

A sample with M = 85 and s = 12 is transformed into z-scores. After the transformation, what are the values for the mean and standard deviation for the sample of z-scores?

M = 53

A score that is 3 points lower than the sample mean has a z-score of z = -0.25, and a score of X = 44 has a z-score of -0.75. What is the sample mean?

µ = 0; σ = 1.

If an entire population with µ = 60 and σ = 8 is transformed into z-scores, then the distribution of z-scores will have a mean of _____ and a standard deviation of _____.

µ = 85 and σ = 4

In a population of scores, X = 83 corresponds to z = -0.50 and X = 93 corresponds to z = +2.00. What are the values for the population mean and standard deviation?

µ = 44

In a population with σ = 5, a score of X = 46 corresponds to a z-score of z = +0.40. What is the population mean?

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

Last week Sarah had exams in her math and Spanish classes. 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 Sarah expect the better grade relative to her peers in each class?

English

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

The values for the mean and standard deviation for a standardized distribution match those values obtained in the original distribution.

Which statement below is not true regarding standardized distributions?

σ = 5

Tom scores an X = 43 on an exam with a mean of µ = 52. Tom's score is associated with a z-score of -1.80. What is the value for the exam standard deviation?