1. For a sample with M = 20 and s = 4, a score of X = 17 would be considered an

Question

1. For a sample with M = 20 and s = 4, a score of X = 17 would be considered an extremely low score.

2. In a population with a mean of m = 40 and a standard deviation of s = 8, a score of X = 46 would be an extreme value, far out in the tail of the distribution.

3. A score that is 6 points above the mean corresponds to a z-score of z = +0.50. For this population, the standard deviation is s = 3.

4. A population with m = 41 and s = 4 is standardized to create a new distribution with m = 50 and s = 10. In this transformation, a score of X = 39 from the original distribution will be transformed into a score of X = 55.

These are all true or false question, I need to know how to get to the anwser.

Here are the anwsers if it helps.

1. False

2. False

3. False

4. False

Thank you!!

Explanation / Answer

1.

As

z = (X-u)/sigma

here, x = 17, u = 20, sigma = 4, so

z = (17-20)/4 = -0.75

We consider a score extremely low when z < -3.

-0.75 > 3.

Hence, FALSE. [ANSWER]

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2.

As

z = (X-u)/sigma

here, x = 46, u = 40, sigma = 8, so

z = (46-40)/8 = 0.75

We consider a score extreme when |z| > 3.

|0.75| < 3.

Hence, FALSE. [ANSWER]

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