Exam 5: z-Scores: Location of Scores and Standardized Distributions.

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

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

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

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.

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 σ = 6.

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

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

For a sample with s = 12,a score of X = 73 corresponds to z = -1.00.What is the sample mean?

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?

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.

A professor standardizes exam scores so that all exams have μ = 50 and σ = 10.If the original scores from an exam have μ = 42 and σ = 6,then a student with an original exam score of X = 45 would receive a standardized score of X = 55.

A population with μ = 54 and σ = 12 is standardized to create a new distribution with μ = 100 and σ = 20.After the transformation,an individual receives a new score of X = 95.The original score for this individual was X = 51.

For a sample of n = 30 scores,a score that is 6 points above the mean has a z-score of z = 1.50.What is the sample standard deviation?

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

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

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

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,what value will be obtained for a score of X = 58 from the original distribution?

If two individuals in the same population have identical X scores,they also will have identical z-scores.

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 σ = 3.

A sample of n = 20 scores is transformed into z-scores.What is the mean for the set of 20 z-scores?