Reference no: EM132388589
You have a contract to mark exam papers for a statistics school. They send you a box containing several bundles of exam papers. According to the contract you are paid by the bundle and that the average number of papers in all bundles sent out for marking is 54.5. The bundles feel a bit heavy to you so you count the number of papers in each bundle. These numbers are given in the box below.
94, 55, 55, 71, 63, 60, 96, 90, 54
Your contract states that any dispute over the number of papers must be based on a statistical test with a significance level of 1%. You decide to test the hypothesis that the population average for the number of papers in a bundle is greater than 54.5.
What is the value of the statistic that you calculate from the data?
What is the boundary for the critical region for this test?
Based on the results of the test you:
(a) Accept the null hypothesis and conclude that the average is 54.5
(b) Reject the null hypothesis and conclude that the average is over 54.5