Chapter 5 Quiz

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

a

For a population with µ = 100 and σ = 20, what is the X value corresponding to z = -0.75? a. 85​ ​b. 95 c. ​105 ​d. 115

a

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. 0 and 1​ ​b. 60 and 1 ​c. 0 and 8 ​d. 60 and 8 (unchanged)

a

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

a

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? a. X = 40 ​b. X = 42 c. ​X = 43 ​d. It cannot be determined with the information given.

a

A population with µ = 85 and s = 12 is transformed into z-scores. After the transformation, what is the standard deviation for the population of z-scores? a. ​s= 12 ​b. s= 1.00 ​c. s= 0 ​d. s= 4.

b

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? a. ​z = 1 ​b. z = 2 ​c. z = 6 ​d. z = 12

b

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 ____. a. a little above average​ ​b. far above average ​c. above average, but it is impossible to describe how much above average ​d. impossible to determine because there is not enough information to compare last year with the average

b

A population distribution has σ = 6. What position in this distribution is identified by a z-score of z = +2.00? a. two points above the mean ​b. two points below the mean ​c. twelve points above the mean ​d. twelve points below the mean

c

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? a. 2​ ​b. 4 ​c. 8 ​d. -8

c

A sample has M = 72 and s = 4. In this sample, what is the X value corresponding to z = -2.00? a. X = 70​ ​b. X = 68 ​c. X = 64 ​d. X = 60

c

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? a. μ = 36​ ​b. μ = 40 ​c. μ = 48 ​d. μ = 52

c

For a sample of n = 30 scores, X = 45 corresponds to z = 1.50 and X = 40 corresponds to z = +1.00. What are the values for the sample mean and standard deviation? a. ​M = 35 and s = 10 ​b. M = 30 and s = 15 ​c. M = 35 and s = 15 ​d. M = 30 and s = 10

d

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? a. ​σ = 2 ​b. σ = 4 ​c. σ = 8 ​d. σ = 10

d

The direct, unchanged scores that are the direct result of measurement are called: a. ​standardized scores ​b. deviation scores ​c. z-scores ​d. raw scores

d