A sociologist will conduct a two-sample -test for a difference in means to investigate whether there is a significant difference, on average, between the salaries of people with bachelor’s degrees and people with master’s degrees. From a random sample of 32 people with a bachelor’s degree, the average salary was $55,000 with standard deviation $3,500. From a random sample of 28 people with a master’s degree, the average salary was $58,000 with a standard deviation of $4,000.
Assuming conditions have been met, with a null hypothesis of no difference in the means, which of the following is the approximate p-value for the appropriate test to investigate whether there is a difference in population means (master’s degree minus bachelor’s degree)?
Extracted text: A sociologist will conduct a two-sample -test for a difference in means to investigate whether there is a significant difference, on average, between the salaries of people with bachelor's degrees and people with master's degrees. From a random sample of 32 people with a bachelor's degree, the average salary was $55,000 with standard deviation $3,500. From a random sample of 28 people with a master's degree, the average salary was $58,000 with a standard deviation of $4,000. Assuming conditions have been met, with a null hypothesis of no difference in the means, which of the following is the approximate p-value for the appropriate test to investigate whether there is a difference in population means (master's degree minus bachelor's degree)? A 0.0022 B - 3.071 0.0033 54.133 0.0017