Hypothesis Testing- 2 samples Mean entry-level salaries for college graduates with mechanical engineering degrees and electrical engineering degrees are believed to be approximately the same. A...

Hypothesis Testing- 2 samples

Mean entry-level salaries for college graduates with mechanical engineering degrees and electrical engineering degrees are believed to be approximately the same. A recruiting office thinks that the mean mechanical engineering salary is actually lower than the mean electrical engineering salary. The recruiting office randomly surveys 42 entry level mechanical engineers and 52 entry level electrical engineers. Their mean salaries were $46,100 and $46,900, respectively. Their standard deviations were $3430 and $4210, respectively. Conduct a hypothesis test at the 5% level to determine if you agree that the mean entry- level mechanical engineering salary is lower than the mean entry-level electrical engineering salary. Let the subscriptm = mechanical ande
= electrical. NOTE: If you are using a Student's
t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)

Part 1) State the distribution to use for the test. (Enter your answer in the formz ort

_df
 wheredf is the degrees of freedom. Round your answer to two decimal places.)