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 50 entry level mechanical engineers and 58 entry level electrical engineers. Their mean salaries were $46,300 and $46,800, respectively. Their standard deviations were $3450 and $4230, 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 50 entry level mechanical
engineers and 58 entry level electrical engineers. Their mean salaries
were $46,300 and $46,800, respectively. Their standard deviations were $3450 and $4230,
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.
i.
State the distribution to use for the test. (Enter your answer in the
form z or taf where df is the degrees of freedom. Round your answer to two decimal
places.)
Transcribed Image Text: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 50 entry level mechanical engineers and 58 entry level electrical engineers. Their mean salaries were $46,300 and $46,800, respectively. Their standard deviations were $3450 and $4230, 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. i. State the distribution to use for the test. (Enter your answer in the form z or taf where df is the degrees of freedom. Round your answer to two decimal places.)
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