Question

A placement firm would like to know the average starting salary in a particular year for chemical engineering majors is different than the average starting salary in the same year for electrical engineering majors. To conduct its best, the kbplacement from a selected a randon warrple of 124 electrical engineering makes and 110 chemical engineering majors who graduated and received in the year. Each gule was asked to report she starting fry. There of the survey are below. m Click the icon for the results of the survey Let, be the population mean starting salary for chemical engineering graduates, and be the population mean starting salary torriol engineering students Conducta hypothesis is at the 0.05 level of significance to determine whether diferenca exists in the starting salaries for the two groups. Do not assume that the populations from which the samples were taken have equal variance. Swethe nulla omative hypotheses OAH OBMO HA HAM OCH 0 ODHO HA 20 Calculate the test state The best statistici Pound to two decades as need Calculate the p value The p value is Round to four decimal places as needed) State the conclusion for this hypothesis test OA Do nome Ho There is no suficient evidence the 0.06 level significance to conduce at the two groups were oferty OB. Rojot H. There is not suficient evidence at the a=0/06 level of significance to conclude that the two groups of graduates were paid differently OC. Reject There is sufficient evidence of the -0.05 level of significato conclude that the two groups of graces were pris diferently OD. Do not reject Ho. There is sufficient evidence at the 0.05 level of significance to conclude that the two groups of graduates were paid aitarently

Answer 1

Mean (7)- Ex N - Standard deviation (s) = m Î (;-)2 n-ji- For electrical engineers N2 = 124 For chemical engineers ~, - X = 54364.256 Si = 6226. 504 E 1X X2 = 51384.970 Sy = 4668.170 in Null Agrothesis salaries between There is no difference and electrical engineers. Chemical engineers in salaries between Alternative hypothesis There is a difference chemical engineers and electrical engineers. Do H: 41-42=0 HA:H-42 #0 Jut → Answer Test statistic (2) X-X 543640256 - 51384.970 2 Sj 2 Sz 2 + 6226.504 4668.170² + n. M₂ lio 124 Test statistic = 4.099 Source - STATREY ] 0.0000 P-value Conclusion 9 As the p-value (0.0000) < 260.05) Reject 'Ho . There is sufficient evidence at Q=0.05 to conclude that a groups are paid di (ation c.) differently

Statkey Theoretical Distribution Normal Distribution- Reset Plot Normal Distribution Left Tail Two-Tail Right Tail Mean Standard Deviation 0.40 0.35 Edit Parameters 0.30 0.25 0.000021 1.000 0.000021 0.15 0.10 0.05 0.00 14.0 -3.0 -2.0 - 1.0 0.0 1.0 2.0 3.0 4.0 -4.099 4.099 Activate Windows

First the mean and standard deviation for the 2 groups is obtained using the formula mentioned. The test statistic is calculated using the formula mentioned. The p value is obtained from STATKEY (image attached for reference). We compare the p value with alpha and make the required conclusion.