The number of paid days off (e.g., vacation, sick leave) taken by 9 employees at a small local business is compared to the national average.

Question

The number of paid days off (e.g., vacation, sick leave) taken by 9 employees at a small local business is compared to the national average. You are hired by the new business owner to help her determine whether her employees take less days off than the national average, which is determined to be 13 days. The data for the 9 local employees during the last fiscal year are: 10, 11, 8, 14, 13, 12, 12, 11, 13. What is the effect size for these data and how should it be interpreted

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Euphemia 3 years 2021-07-26T13:54:59+00:00 1 Answers 8 views 0

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    2021-07-26T13:56:05+00:00

    Answer:

    -0.80, is a large effect

    Step-by-step explanation:

    From the given information:

    The mean of the sample = \dfrac{10+ 11+ 8+ 14+ 13+ 12+12+11+13}{9}

    = 11.556

    Using Excel Formula:

    The standard deviation = 11.8105

    We are told that the population mean = 13

    Thus, the effect size can be determined by using the formula:

    Effect \  size = \dfrac{sample\  mean \ ( \bar x) - population  \ mean \ \mu }{standard deviation (\sigma)}

    Effect \  size = \dfrac{11.5556 -13 }{1.8105}

    Effect size = -0.80

    Thus, -0.80, is a large effect

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