Mean entry-level salaries for college graduates with mechanical engineering degr

Question

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 48entry level mechanical engineers and 52 entry level electrical engineers. Their mean salaries were $46,400 and $46,700, respectively. Their standard deviations were $3420 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 subscript m = mechanical and e = 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 (a) State the null hypothesis. [ ] Part (b) State the alternative hypothesis. E Part (c) In words, state what your random variable Xm Xe represents. Xm-Xe represents the mean starting salary of entry-level mechanical engineers and electrical engineers Xm-Xe represents the difference in starting salaries of entry-level mechanical engineers and electrical engineers. ??-Xe represents the mean difference in the starting salaries of entry-level mechanical engineers and electrical engineers. Xm-Xe represents the difference in the mean starting salaries of entry-level mechanical engineers and electrical engineers.

Explanation / Answer

a) Correct answer: option (A)

b) Correct answer: option (B)

c) Correct answer: option (C)

d) tcrit

e)Critical t: -1.66055

f) P-Value: 0.3490

Correct answer:Option (D)

g) Correct answer: Option (C)

h) i) 0.05
ii) Do ot reject the null hypothesis
iii) Option (B)

i) Correct answer: option (C)

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