Exam 1

  1. Question

    A machine fills milk into 500ml packages. It is suspected that the machine is not working correctly and that the amount of milk filled differs from the setpoint μ0 =500. A sample of 247 packages filled by the machine are collected. The sample mean y is equal to 521.3 and the sample variance sn-1 2 is equal to 527.08.
    Test the hypothesis that the amount filled corresponds on average to the setpoint. What is the absolute value of the t test statistic?


    The t test statistic is calculated by:
    t = y - μ0 sn-1 2 n = 521.3-500 527.08 247 =14.581.

    The absolute value of the t test statistic is thus equal to 14.581.