Question

A group of I-O psychologists were interested in whether listening to the radio or an audio...

A group of I-O psychologists were interested in whether listening to the radio or an audio book while working would result in greater productivity of factory workers (defined by pounds of product produced). Therefore, the researchers visited a factory in Pennsylvania that has 10-full-time employees. They first recorded the pounds of product produced by each employee while listening to a local music radio station on Wednesday of week 1. Then on Wednesday of week 2, the researchers recorded the pounds of product produced by each employee while listening to an audio book.

  1. State the appropriate alternative and null hypotheses (using the statistical notation for stating mathematical relationships) to test the hypothesis that the pounds of product produced by the employees while listening to music is different than when listening to an audio book.
  2. Assuming an alpha level of 0.05, provide the critical and obtained values for this hypothesis test.
  3. Assuming an alpha level of 0.05, make a decision as to whether the result of the hypothesis test is significant or insignificant, as well as whether you should reject or fail to reject the null hypothesis, being sure to explain why. Also, interpret the results of the hypothesis test in everyday language (i.e., does productivity differ depending on whether the employees are listening to music or an audio book?).
  4. What are the upper and lower boundaries of the range of population mean differences that you can say with 95% confidence contains the mean difference represented by the above sample?

    Employee

    Pounds During Music

    Pounds During Audio Book

    1

    1095

    947

    2

    988

    974

    3

    1044

    1032

    4

    1081

    922

    5

    1016

    1005

    6

    1026

    974

    7

    1058

    1016

    8

    1045

    958

    9

    1018

    999

    10

    982

    985

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