Question

Question 1                                                                                                                 22

The following data represents the amount of soft drink filled into a sample of 10 consecutive 2-litre bottles from a filling machine.

2.109   1.947   2.086   2.066   1.981   2.028   2.075   2.065   2.075   1.963

1. For the above collected data calculate:

1. The mean.                                                                                                       [2]
2. The median                                                                                                     [2]
3. The mode                                                                                                        [1]
4. The standard deviation.                                                                                  [3]
5. The value of Pearson’s second coefficient of skewness                               [2]
6. Interquartile range                                                                                          [5]

2. The production supervisor claims that the machine is loading significantly more than the required 2 litres. Can you verify this claim with a hypothesis test at 10% level of significance?

Answer 1