Exam 5: Z-Scores: Location of Scores and Standardized Distributions

For a sample with a standard deviation of s = 8,a score of X = 42 corresponds to z = -0.25.The mean for the sample is M = 40.

In a sample with s = 6,a score of X = 53 corresponds to z = -0.50.The mean for this sample is M = 50.​

On a psychology exam with µ = 76 and σ = 12,Tom scored 9 points below the mean,Mary had a score of X = 70,and Bill had a z-score of z = -1.00.Place these three students in order from lowest to highest score.____: Student with lowest score____: Student with middle score____: Student with highest score

For a sample of n = 30 scores,X = 45 corresponds to z = 1.50 and X = 40 corresponds to z = +1.00.What are the values for the sample mean and standard deviation?​

A population with µ = 85 and s = 12 is transformed into z-scores.After the transformation,what is the standard deviation for the population of z-scores?​

A score with a value less than or equal to the mean will have a z-score that is less than or equal to zero.

In a distribution with s = 20,a score that is above the mean by 10 points will have a z-score of z = 0.50.

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

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

Under what circumstances is a score that is 15 points above the mean an extreme score relatively far from the mean?​

Because all z-score distributions have the same mean and standard deviation,the z-score distribution is called a standardized distribution.

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?​

A population with μ = 59 and s = 8 is standardized to create a new distribution with μ = 100 and s = 20.After the transformation,an individual receives a new score of X = 90.The original score for this individual was X = 51.

A population of scores with µ = 73 and s = 20 is standardized to create a new population with µ = 50 and s = 10.What is the new value for each of the following scores from the original population?Scores: 63,65,77,83

For a population with a standard deviation of s = 12,a z-score of z = +0.50 corresponds to a score that is above the mean by 6 points.​

The process of transforming every x value in a distribution into a corresponding z-score to create a distribution of z-scores is called a z-score transformation.

In a sample of n = 40 scores,X = 31 corresponds to z = -1.50 and X = 39 corresponds to z = +0.50.The sample mean is M = 36.