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ETC1000 - Business and economic statistics - S2 2025
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This question is based around annual CO2 emissions for countries around the world over many years. Of particular interest is how CO per capita (millions of tonnes) and GDP per capita ($) are related to each other. To investigate this, we construct a scatter plot between these two variables using data from 2016 (shown below).
Referring to the scatter plot, it was decided that the country with CO per capita of 29.2 and GDP per capita of 24,000 is an outlier, so the correlation was recalculated without this country.
The new correlation will be:
A scatter plot in general is used for exploring which of the following key questions? (Multiple answers allowed)
We have taken only 100 samples of n=100 from the population data. We could have taken many more such samples.
If we had drawn all possible samples of n=100 and constructed a 95% confidence interval for each of these samples, what percentage of these intervals would have contained the true population mean? (Include appropriate units)
Calculate the mean of the sample means and the standard deviations when n=100. That is, the mean of row 108 and then the mean of row 109.
Comparing your results to those you calculated for the case of n=30 what do you conclude? (Multiple answers allowed)
What is the average of the sample means when a sample of n=30 is taken. That is, what is the average of row 104? (Report to 4 decimal places and include appropriate units)
Is the confidence interval based on the sample of 100 days wider or narrower than the interval constructed based on the sample of 30 days?