Question 1 If you have a distribution of scores with a mean of 27 and a standard

Question

Question 1

If you have a distribution of scores with a mean of 27 and a standard deviation of 3 for your raw scores, and you convert that distribution to z-scores, the new mean and standard deviation will be­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­______________.

Question 1 options:

a)

0, 1

b)

27, 3

c)

unable to determine without more information

Question 2

It is possible to know exactly where you stand on an ''exam'' by looking at your raw score.

Question 2 options:

Question 3

It is possible to know which students scored in the top 10% of the class of 100 by looking that the 10 highest scores.

Question 3 options:

Question 4

A t-score differs from a z-score because the t-score is based on a sample whereas the z-score is based on the population.

Question 4 options:

Question 5

In a population if you have µ = 10, µ = 2, and your z-score is +1.5, what is the value of X?

Question 5 options:

a)

-13

b)

20

c)

13

d)

-20

a)

0, 1

b)

27, 3

c)

unable to determine without more information

Explanation / Answer

1.The z scores always have a mean of 0 and a standard deviation of 1.

The answer is:

a) 0.1.

2. Unless the scores of others are known, it is impossible to know where you stand.

The answer is b) False.

3. The top 10% for a class of 100 are the top 10 scorers.

The answer is a) True.

4. While a t score is used on a sample, z scores can also be used on a sample if the sample size is greater than 30.

The answers is b) False.

5. µ = 10, = 2, and your z-score is +1.5.

z = 10 + 1.5 * 2

= 10 + 3

= 13.

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