Part (0)What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.)Part (f)What is the p-value? (Round your answer to four decimal places.)Enter a number.Explain what the p-value means for this problem.O If H, is true, then there is a chance equal to the p-value that the sample mean salary of mechanical engineers is at least $800 less than the sample mean salary of electrical engineers.O If H, is false, then there is a chance equal to the p-value that the sample mean salary of mechanical engineers is $800 more than the sample mean salary of electrical engineers.O If Ho is false, then there is a chance equal to the p-value that the sample mean salary of mechanical engineers is at least $800 less than the sample mean salary of electrical engineers.O If Ho is true, then there is a chance equal to the p-value that the sample mean salary of mechanical engineers is $800 more than the sample mean salary of electrical engineers.□ Part (g)Part (h)Ⓒ Part (1)Explain how you determined which distribution to use.O The t-distribution will be used because the samples are dependent.The standard normal distribution will be used because the samples involve the difference in proportions.The standard normal distribution will be used because the samples are independent and the population standard deviation is known.O The t-distribution will be used because the samples are independent and the population standard deviation is not known.Submit AnswerViewing Saved Work Revert to Last ResponseOSubmit Assignment Save Assignment ProgressHomeMy Assignments|||||_||Request Extension ASK YOUR TEACHER5. [4/14 Points] DETAILSMean 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 44 entry level mechanical engineers and 60 entry level electrical engineers. Their mean salaries were $46,100 and $46,900, respectively. Their standard deviations were $3450 and $4210, respectively. Conduct a hypothesis test at the 5% level to determineIf 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 normally distributed. (In general, you must first prove that assumption, though.)PREVIOUS ANSWERS103ILLOWSKYINTROSTAT1 10.1.081.HW.Part (a)□ Part (b)Part (c)Part (d)State the distribution to use for the test. (Enter your answer in the form z or to where df is the degrees of freedom. Round your answer to two decimal places.)MY NOTES

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