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March 4, 2015

March 4, 2015

Posted by **Nickie** on Saturday, January 26, 2013 at 2:35pm.

deviation of 5.

a. If 5 points were added to every score in the

population, what would be the new values for the

mean and standard deviation?

b. If every score in the population were multiplied by

3 what would be the new values for the mean and

standard deviation?

- Statistics -
**MathGuru**, Saturday, January 26, 2013 at 5:17pma. mean = 35; standard deviation of 5 stays the same.

b. mean = 90; standard deviation = 15

- Statistics -
**Nickie**, Saturday, January 26, 2013 at 6:43pmA distribution has a standard deviation of 12.

Find the z-score for each of the following locations

in the distribution.

a. Above the mean by 3 points.

b. Above the mean by 12 points.

c. Below the mean by 24 points.

d. Below the mean by 18 points.

For the following population of N 6 scores:

3, 1, 4, 3, 3, 4

a. Sketch a histogram showing the population

distribution.

b. Locate the value of the population mean in your

sketch, and make an estimate of the standard

deviation (as done in Example 4.2).

c. Compute SS, variance, and standard deviation for

the population. (How well does your estimate

compare with the actual value of ?)

In a population of exam scores, a score of X 48

corresponds to z1.00 and a score of X 36

corresponds to z –0.50. Find the mean and standard

deviation for the population. (Hint: Sketch the

distribution and locate the two scores on your sketch.)

A sample consists of the following n 6 scores: 2, 7,

4, 6, 4, and 7.

a. Compute the mean and standard deviation for the

sample.

b. Find the z-score for each score in the sample.

c. Transform the original sample into a new sample

with a mean of M 50 and s 10.

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