Consider a population that has a score of X = 15 associated with a…

Consider a population that has a score of X = 15 associated with a z-score of +1.50. What does this z-score indicate about the location of X = 15?

Group of answer choices

 

A score of X = 15 is 1.5 mean units below the standard deviation.

 

A score of X = 15 is 1.5 mean units above the standard deviation.

 

A score of X = 15 is 1.5 standard deviations above the mean.

 

A score of X = 15 is 1.5 standard deviations below the mean.

Flag question: Question 2 

Question 2 3 pts 

For a population with µ = 84 and σ = 4, what is the z-score corresponding to X = 80?

Group of answer choices

 

-1.00

 

+1.00

 

+1.25

 

-1.50

Flag question: Question 3 

Question 3 3 pts 

In N = 25 games last season, the college basketball team averaged µ = 83 points with a standard deviation of σ = 8. In their final game of the season, the team scored 78 points. Based on this information, the number of points scored in the final game was _____.

Group of answer choices

 

a little above average.

 

far below average.

 

a little below average.

 

There is not enough information provided to know.

Flag question: Question 4 

Question 4 3 pts 

For a sample with M = 66, a score of X = 55.5 corresponds to z = -1.50. What is the sample standard deviation?

Group of answer choices

 

3

 

4

 

6

 

7

Flag question: Question 5 

Question 5 3 pts 

Which position in a distribution corresponds to a z-score of z = -1.00?

Group of answer choices

 

below the mean by 1 point

 

below the mean by 1 standard deviation

 

above the mean by 1 point

 

above the mean by 1 standard deviation

Flag question: Question 6 

Question 6 3 pts 

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

Group of answer choices

 

0

 

1

 

N

 

This is impossible to determine based on the information provided.

Flag question: Question 7 

Question 7 3 pts 

Which z-score value represents the location farthest from the mean?

Group of answer choices

 

z = +0.50

 

z = -0.50

 

z = -1.00

 

z = -2.00

Flag question: Question 8 

Question 8 3 pts 

For a population with µ = 65 and σ = 4, what is the X value corresponding to z = -2.25?

Group of answer choices

 

X = 56

 

X = 60

 

X = 74

 

X = 71

Flag question: Question 9 

Question 9 3 pts 

Which z-score corresponds to a score that is above the mean by 2 standard deviations?

Group of answer choices

 

+2

 

+10

 

-2

 

This is impossible to determine without knowing the value of the standard deviation.

Flag question: Question 10 

Question 10 3 pts 

The distribution of z-scores corresponding with a population of scores always has a variance of _____.

Group of answer choices

 

σ2 = 1.

 

σ2 = 2.

 

σ2 = 0.

 

 

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