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Assume that all grade-point averages are to be standardized on a scale between 0 and 5. How many grade-point averages must be obtained so that the sample mean is within 0.009 of the population mean? Assume that a 98% confidence level is desired. If using the range rule of thumb, o can be estimated as
Range/4 = 5-0/4 = 1.25. Does the sample size seem practical?

Answers

  1. The sample size is the proportion of the general population that are taking part in the study . In the given situation Sample size does not seem practical.

    What is Statistics?

    Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
    Given that grade-point averages are to be standardized on a scale between 0 and 5.
    we need to find how many grade-point averages must be obtained so that the sample mean is within 0.009 of the population mean.
    Let the confidence level to be desired is 98%.
    The sample size can be calculated by using the formula
    n = (z alpha/2 × S/E)^2
    where n = sample size,
    z alpha/2 = critical value for 98%
    confidence = 2.58,
    S = 1.25 and E = 0.009.
    n = (2.58 × 1.25 / 0.009)²
    = 55011.57 ~ 55012
    =128401
    Since the sample size is the proportion of the general population that are taking part in the study .
    Hence, Sample size does not seem practical.
    To learn more on Statistics click:
    #SPJ1

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