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

In N = 25 games last season,the college basketball team averaged µ = 76 points with a standard deviation of σ = 6.In their final game of the season,the team scored 89 points.Based on this information,the number of points scored in the final game was ____.​

For a distribution of scores,X = 40 corresponds to a z-score of z = +1.00,and X = 28 corresponds to a z-score of z = -0.50.What are the values for the mean and standard deviation for the distribution? (Hint: Sketch a distribution and locate each of the z-score positions.)

On an exam with μ = 52,you have a score of X = 56.Which of the following values for the standard deviation would give you the highest position in the class distribution?​

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

A population of scores has µ = 80.In this population,a score of X = 86 corresponds to z = +2.00.What is the population standard deviation?​

In a distribution with µ = 80 and s = 20,a score of X = 95 corresponds to z = 1.50.

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.

A population has μ = 50.What value of σ would make X = 55 a more central,representative score in the population?​

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

In a population with s = 4,a score of X = 48 corresponds to z = 1.50.The mean for this population is µ = 42.

For a population with a mean of μ = 80 and a standard deviation of σ = 12,a score of X = 77 corresponds to z = -0.50.

For a population of exam scores,a score of X = 83 corresponds to z = +0.50 and a score of X = 89 corresponds to z = +1.50.The population mean is μ = 80.

For a sample with M = 50 and s = 12,what is the X value corresponding to z = -0.25?​

A sample has M = 72 and s = 4.In this sample,what is the X value corresponding to z = -2.00?​

In a sample with M = 40 and s = 8,what is the z-score corresponding to X = 38?​

A population with μ = 45 and s = 8 is standardized to create a new distribution with μ = 100 and s = 20.In this transformation,a score of X = 41 from the original distribution will be transformed into a score of X = 110.

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

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.

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

Which of the following represents the deviation score?​