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 lower than the mean electrical engineering salary. The recruiting office randomly surveys 25 entry level mechanical engineers and 25 entry level electrical engineers. Their mean salaries were $46142.20 and $47844.32, respectively. Their sample standard deviations were $2718.207 and $4183.747, respectively. Assume that the salaries for college graduates with mechanical engineering and electrical engineering follow a normal distribution. Mechanical Engineers: 49269, 46554, 46890, 46218, 43131, 47903, 46900, 47853, 45693, 43236, 41672, 47871, 46131, 48483, 40069, 46156, 47920, 45346, 41633, 46234, 43106, 46013, 48840, 48931, 51503 Electrical Engineers: 45275, 40489, 44737, 47242, 48347, 53774, 39905, 52278, 49921, 55991, 44918, 52933, 46351, 49259, 41881, 48927, 51133, 48501, 44912, 52292, 47243, 48872, 46228, 42821, 51878 For the conclusion, please use the following template. If you reject the null write Since p-value is [write the value of your p-value] and is less than [write the value of alpha in percent] we reject the null hypothesis at [write the value of alpha]% significance level. That is, there is sufficient evidence in the data to reject [write down the null hypothesis in the context of the problem] If you fail to reject the null write Since p-value is [write the value of your p-value] and is greater than [write the value of alpha in percent], we fail to reject the null hypothesis at [write the value of alpha]% significance level. That is, there is not sufficient evidence in the data to reject [write down null in the context of the problem] a) Conduct a hypothesis test to determine if you agree that the mean entry-level mechanical engineering salary is lower than the mean entry-level electrical engineering salary. You will need to specify the appropriate hypothesis, identify the statistical test, report the value of test statistic and the p-value (from R output), and state your conclusion in the context of the problem. b. Use R and provide the 95% CI for the difference in the means of the salaries of mechanical engineers and electrical engineers. What conclusions can you draw about the hypothesis in part (a), from this CI? Justify your answer.
Mechanical Engineers:
49269, 46554, 46890, 46218, 43131, 47903, 46900, 47853,
45693, 43236, 41672, 47871, 46131, 48483, 40069, 46156,
47920, 45346, 41633, 46234, 43106, 46013, 48840, 48931,
51503
Electrical Engineers:
45275, 40489, 44737, 47242, 48347, 53774, 39905, 52278,
49921, 55991, 44918, 52933, 46351, 49259, 41881, 48927,
51133, 48501, 44912, 52292, 47243, 48872, 46228, 42821,
51878
For the conclusion, please use the following template.
Since p-value is [write the value of your p-value] and is less than [write the value of alpha in
percent] we reject the null hypothesis at [write the value of alpha]% significance level.
That is, there is sufficient evidence in the data to reject [write down the null hypothesis in the
context of the problem]
If you fail to reject the null write
Since p-value is [write the value of your p-value] and is greater than [write the value of alpha in
percent], we fail to reject the null hypothesis at [write the value of alpha]% significance level.
That is, there is not sufficient evidence in the data to reject [write down null in the context of the
problem]
a) Conduct a hypothesis test to determine if you agree that the mean entry-level mechanical engineering salary is lower than the mean entry-level electrical engineering salary.
You will need to specify the appropriate hypothesis, identify the statistical test, report the value of test statistic and the p-value (from R output), and state your conclusion in the context of the problem.
b. Use R and provide the 95% CI for the difference in the means of the salaries of mechanical engineers and electrical engineers. What conclusions can you draw about the hypothesis in part (a), from this CI? Justify your answer.
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 4 images
