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 226 packages filled by the machine are collected. The sample mean y is equal to 517.2 and the sample variance sn-1 2 is equal to 262.56.
    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 = 517.2-500 262.56 226 =15.958.

    The absolute value of the t test statistic is thus equal to 15.958.