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. A No, the data were not collected using a random method. B No, the size of at least one of the samples is greater than 10 percent of the population. C No, the sample sizes are not large enough to assume the distribution of the difference in sample means is normal. D 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?
-
Yes, all conditions have been met.
A -
No, the data were not collected using a random method.
B -
No, the size of at least one of the samples is greater than 10 percent of the population.
C -
No, the sample sizes are not large enough to assume the distribution of the difference in sample means is normal.
D -
No, the sample sizes are not the same.
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