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Statistics

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A population has a mean of   30 and a standard
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 -

    a. mean = 35; standard deviation of 5 stays the same.

    b. mean = 90; standard deviation = 15

  • Statistics -

    A 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.

  • Statistics -

    bb

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