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  3. a supervisor of a textile industry collected information regarding the...

Question: a supervisor of a textile industry collected information regarding the...

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  1. A supervisor of a textile industry collected information regarding the mean number of hours of productive work done by a random sample of ten workers in a month. After the performance bonus was announced by management, the supervisor again collected the information of the mean number of hours of productive work done by the same ten workers the next month. The results are summarized below. 

    Worker

    1

    2

    3

    4

    5

    6

    7

    8

    9

    10

    Before bonus

    6.8

    6.2

    7.4

    6.9

    7.1

    6.5

    6

    6.5

    7.5

    6.7

    After bonus

    7

    6.5

    7.5

    7

    7.3

    6.7

    6.4

    6.9

    7.3

    6.9


    State the null and the alternative hypotheses to test if the mean number of hours of productive work done by the workers in the month after the announcement of the bonus is more than the mean number of hours of productive work done by the workers in the month before the announcement of the bonus. Assume that the population of differences is normally distributed.
    a.
    H0μd = 0 vs. Haμd ≠ 0
    b.
    H0μd = 0 vs. Haμd ≥ 0
    c.
    H0μd = 0 vs. Haμd > 0
    d.
    H0μd = 0 vs. Haμd ≤ 0
    e.
    H0μd = 0 vs. Haμd < 0
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