Imagine next week when you get your midterm back instead of seeing your score at the...

Imagine next week when you get your midterm back instead of seeing your score at the top you see a z score.
a. (2 point) What type of z-score would you want to see? Explain why.
b. (2 point) What would a positive z-score mean? Explain.

c. (2 point) What would a negative z-score mean? Explain. d. (2 point) What would a z-score of zero mean? Explain.

Solutions

Expert Solution

(a)

We want to see a high positive Z score, i.e., above + 3.0.

Reason: A high positive Z score, i.e., above + 3.0 indicates that my score is almost the maximum in the class: about 99.7% of the class are below my score.

(b)

A positive z-score means the actual score is above the mean of the whole class.

Explanation:
Z = (X - )/

So,

If Z > 0, it indicates: X>

(c)

(i)

A negative z-score means the actual score is below the mean of the whole class.

Explanation:
Z = (X - )/

So,

If Z < 0, it indicates: X<

(ii)

A z-score = 0 means the actual score is equal to the mean of the whole class.

Explanation:
Z = (X - )/

So,

If Z = 0, it indicates: X=

orchestra answered 1 year ago

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