At a local bottling company, the soft drink filling machine, when in perfect adjustment, fills the bottles with 600 ml of pop. The machine is set so that the standard deviation of the volume in the bottles is 12.87 ml. A sample of 85 bottles is selected and the average volume of pop in the bottles was 603.14 ml. At the 1% significance level, determine if there has been a change in the average volume of pop in the bottles.

From options #1 to #4, select the correct hypotheses for this test.

From options #5 to #8, select the correct p-value for this test.

From options #9 to #12, select the correct conclusion for this test.

Select 3 correct answer(s)

Question 18 options:

1) H 0 : = 603 . 14 ml H a : 603 . 14 ml

2) H 0 : = 600 ml H a : 600 ml

3) H 0 : = 600 ml H a : > 600 ml

4) H 0 : = 603 . 14 ml H a : > 603 . 14 ml

5) 0.0271

6) 0.0245

7) 0.0122

8) 2.25

9) The volume of pop in the bottles has not changed.

10) Based on the sample, there is not enough evidence to conclude that the average volume of pop in the bottles has changed.

11) The volume of pop in the bottles has changed.

12) Based on the sample, there is enough evidence to conclude that the average volume of pop in the bottles has changed