State the Null and Alternate Hypotheses (b) Should we use the Z or the T test statistic? Calculate this test statistic. (c) Find the critical value of the test statistic at the 5% level of significance. (d) State your conclusion to the hypothesis test.
Q4 (Hypothesis Tests)
A machine fills boxes with chocolates. The factory claims that each box is filled with 1000g of
chocolates and the standard deviation of the filling process is known to be 50g. Customers have been complaining that the chocolate boxes are lighter than usual this year. To investigate, a sample of 120 boxes is taken, giving a mean of 900g. Form an appropriate hypothesis test to see if the claim made by the customers is substantiated. Assume a significance level of 5%.
(a) State the Null and Alternate Hypotheses
(b) Should we use the Z or the T test statistic? Calculate this test statistic.
(c) Find the critical value of the test statistic at the 5% level of significance.
(d) State your conclusion to the hypothesis test.
Step by step
Solved in 2 steps with 1 images
