Exam 5: Z-Scores

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?

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

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?

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

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

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

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?

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

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?

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

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?

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

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

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

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

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

Last week Sarah had exams in Math and in Spanish.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 σ = 8 and Sarah had a score of X = 68.For which class should Sara expect the better grade?

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?

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

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