In a certain region, many of the residents are employed by the oil industry. Economists in the region investigated the difference between the salaries of those who work in oil-field jobs and those who work in non-oil-field jobs. Salaries were recorded for a random sample of 84 workers from the 1,200 oil-field workers and a random sample of 72 workers from the 50,000 non-oil-field workers in the region. A 95 percent confidence interval for μO−μN, where μO is the mean salary of all jobs of oil-field workers and μN is the mean salary of all jobs of non-oil-field workers, will be constructed. Have the conditions for inference with a confidence interval been met? Yes, all conditions have been met. No, the data were not collected using a random method. No, the size of at least one of the samples is greater than 10 percent of the population. No, the sample sizes are not large enough to assume the distribution of the difference in sample means is normal. No, the sample sizes are not the same.
In a certain region, many of the residents are employed by the oil industry. Economists in the region investigated the difference between the salaries of those who work in oil-field jobs and those who work in non-oil-field jobs. Salaries were recorded for a random sample of 84 workers from the 1,200 oil-field workers and a random sample of 72 workers from the 50,000 non-oil-field workers in the region. A 95 percent confidence interval for μO−μN, where μO is the mean salary of all jobs of oil-field workers and μN is the mean salary of all jobs of non-oil-field workers, will be constructed. Have the conditions for inference with a confidence interval been met?
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Yes, all conditions have been met.
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No, the data were not collected using a random method.
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No, the size of at least one of the samples is greater than 10 percent of the population.
- No, the
sample sizes are not large enough to assume the distribution of the difference in sample means is normal.
- No, the sample sizes are not the same.
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