A large university is well known for both its business school and its mechanical engineering program. The dean of the career services office wants to know if there is a difference in starting job salary between recently graduated business majors and mechanical engineering majors. The starting annual salaries for a random sample of 30 business majors and 30 mechanical engineering majors from the most recent graduating class are taken. Assume that the population standard deviation of the business majors' starting salaries is $12,000 and the population standard deviation of the mechanical engineering majors' starting salaries is $7,000, and that the starting salaries for both majors are normally distributed. Let the business majors' salaries be the first sample, and let the mechanical engineering majors' salaries be the second sample.
The dean conducts a two-mean hypothesis test at the 0.05 level of significance, to test if there is evidence of a difference in average annual starting salary.
Which answer choice shows the correct null and alternative hypotheses for this test?
Select the correct answer below:
H0:μ1=μ2; Ha:μ1≠μ2, which is a two-tailed test.
H0:μ1=μ2; Ha:μ1<μ2, which is a left-tailed test.
H0:μ1=μ2; Ha:μ1>μ2, which is a right-tailed test.
H0:μ1≠μ2; Ha:μ1=μ2, which is a two-tailed test.
H0:μ1=μ2; Ha:μ1≠μ2, which is a two-tailed test.
| Test if there is evidence of a difference in average annual starting salary. |
A large university is well known for both its business school and its mechanical engineering program....
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