Question

Which is more likely?
a. Assume that the carbon dioxide emissions are normally distributed. In 100 industrialized countries over a 15-year period the mean level of emissions is 25.5 metric tons. Are you more likely to select 1 country out of the 100 with carbon dioxide emissions of less than 30 metric tons or to randomly select a sample of 15 countries out of the 100 with a mean carbon dioxide emissions less than 30 metric tons?

b. Please explain your answer

Please show all work or if you used a TI 84 please explain the necessary steps to get the answer, thank you for the help :)

Answer 1

The more the standard error the more is the sample mean deviates from true Population mean, the lesser the standard error

The lesser the standard error the more is sample size. With more sample size we get more accuracy that is the more does sample mean goes towards population mean.

Hence, we randomly select a sample of 15 countries out of the 100 with a mean carbon dioxide emissions less than 30 metric tons.