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

What position in the distribution corresponds to a z-score of z = +2.00?​

For an exam with a mean of M = 74 and a standard deviation of s = 8,Mary has a score of X = 80,Bob's score corresponds to z = +1.50,and Sue's score is located above the mean by 10 points.If the students are placed in order from smallest score to largest score,what is the correct order?​

The direct,unchanged scores that are the direct result of measurement are called:​

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

A sample of n = 20 scores has a mean of M = 45 and a standard deviation of s = 8.In this sample,what is the z-score corresponding to X = 57?​

For a population with µ = 48 and σ = 8,find the X value that corresponds to each of the following z-scores: -0.25,-1.50,0.50,2.00.

For a population with µ = 60 and σ = 12,find the z-score corresponding to each of the following X values: 66,78,57,48.

For a population with a mean of μ = 80,any score greater than 80 will have a positive z-score.

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

Describe what happens to the mean,the standard deviation,and the shape of a distribution when all of the scores are transformed into z-scores.

Under what circumstances is a score that is located 5 points above the mean a central value,relatively close to the mean?​

Last week,Sarah had exams in Math,Spanish,and English.On the Math exam,the mean was µ = 30 with s = 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 = 70.For which class should Sara expect the better grade?​

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

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

For a population with a standard deviation of σ = 6,what is the z-score corresponding to a score that is 12 points above the mean?​

Which of the following z-score values represents the location closest to the mean?​

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?​

Describe the general purpose of a z-score and explain how a z-score accomplishes this goal.

Standardized scores are "simple" values for the mean and standard deviation that do not change any individual's location within the distribution.

For a population with µ = 100 and σ = 20,what is the X value corresponding to z = -0.75?​