16 An analysis was carried out using the Large Data Set to compare the \(\mathrm { CO } _ { 2 }\) emissions (in g/km) from 2002 and 2016.
The summary statistics for the \(\mathrm { CO } _ { 2 }\) emissions, \(X\), for all cars registered as owned by either females or males is given in the table below.
| \cline { 2 - 3 }
\multicolumn{1}{c|}{} | \(\mathbf { 2 0 0 2 }\) | \(\mathbf { 2 0 1 6 }\) |
| \(\sum \boldsymbol { x }\) | 207901 | 142103 |
| Sample size | 1215 | 1144 |
16
- Find the reduction in the mean of the \(\mathrm { CO } _ { 2 }\) emissions in 2016 compared to the mean of the CO2 emissions in 2002.
16 - It is claimed that the move to more electric and gas/petrol powered cars has caused the reduction in the mean \(\mathrm { CO } _ { 2 }\) emissions found in part (a).
Using your knowledge of the Large Data Set, state whether you agree with this claim.
Give a reason for your answer.
16 - There are 3827 data values in the Large Data Set.
It is claimed that the data in the table above must have been summarised incorrectly.
16 - Explain why this claim is being made.
16
- (ii) State whether this claim is correct.
Give a reason for your answer.