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

For a population with μ = 30,a score of X = 24 corresponds to z = -2.00.The standard deviation for the population is s = 6.

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

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.

For a population with µ = 80 and σ = 10,what is the X value corresponding to z = -0.50?​

For a sample with a standard deviation of s = 10,a score with a deviation of +5 will have a z-score of z = 0.50.

A population distribution has σ = 6.What position in this distribution is identified by a z-score of z = +2.00?​

For a population with µ = 40 and σ = 8,what is the z-score corresponding to X = 46?​

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.

For a sample with M = 50 and s = 8,z = 1.50 corresponds to X = 65.​

Any individual with a positive z-score has a score greater than the mean.

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?​

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

A distribution with µ = 35 and s = 8 is being standardized so that the new mean and standard deviation will be µ = 50 and s = 10.In the new,standardized distribution your score is X = 45.What was your score in the original distribution?​

If an entire population of N = 20 scores is transformed into z-scores,the set of 20 z-scores will have SX = 0.

Last week Sarah had exams in Math,Spanish and English.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 s = 8 and Sarah had a score of X = 68.On the English exam,the mean was µ = 70 with s = 8 and Sarah had a score of X = 78.For which class should Sara expect the better grade?​

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?​

For a population with µ = 80 and σ = 10,what is the z-score corresponding to X = 95?​

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

For a population with µ = 40 and σ = 8,what is the X value corresponding to z = 1.50?​

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.