1. The human resource manager at a large firm claims that absentees from work were reduced after a motivation course for personnel's. Before the course the portion of absentees for a month was 15/160 and after the course it was 10/140 .

Can the manager's claim be supported at a 1% level of SIGNIFICANCE?

2. A machine that puts cornflakes into boxes is adjusted to put an average of 450g into each box, with a standard deviation of 7.5g . If a random sample of 12 boxes gave a sample deviation of 11.4g, do these data support the claim that the variance has increased and that the machine needs to be brought into adjustment? Use a 0.01 level of SIGNIFICANCE.

Round the final answer for all calculations to 2 decimal places.