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0 0/4 oints 1 Pre 12 Submissions Used The histogram and boxplot show the annual

ID: 3331736 • Letter: 0

Question

0 0/4 oints 1 Pre 12 Submissions Used The histogram and boxplot show the annual salaries of 20 randomly selected CEOs. A market research agency found a 95% confidence interval for the mean salary to be ($3.2, $66.73) million. Should this confidence interval be trusted? 40 60 80020 40 6080 Total compensation in milions Total compensation in milions O The sample size is large enough, so the distribution of the sample is nearly normal. Therefore, the confidence interval will be satisfactory. The conditions are not met so the confidence interval will not be accurate. The salaries have a skewed, non- normal shape. The sample size is large enough, so the distribution of the sample mean is nearly normal. Therefore the confidence interval will be satisfactory. O The conditions are not met so the confidence interval will not be accurate. The salaris have a large outlier that is pulling the mean higher. O The conditions are not met so the confidence interval will not be accurate. The salaries have a bimodal, non- normal shape.

Explanation / Answer

The graph on the left is bimodal.

The conditions are not met so the confidence interval will not be accurate. The salaries have a bimodal, non-normal shape.

This is given in the last option.

(Note: The boxplot somewhat contradicts the histogram. The outlier seems to trouble the boxplot but not the histogram. Moreove the interval nearly covers it. So the fourth option looks less likely.)