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Statistics II20785 marksNumerical: independent t-testtest for difference between two means and two proportions

The following are the details of working hours in the classroom per week of male and female faculty working in the area of Computer Science and Information Technology at Tribhuvan University. Apply independent t-test to examine the average working hour in the classroom per week is significantly diff

The following are the details of working hours in the classroom per week of male and female faculty working in the area of Computer Science and Information Technology at Tribhuvan University. Apply independent t-test to examine the average working hour in the classroom per week is significantly different between male and female faculty, at 1% level of significance. State also null and alternative hypotheses appropriately.

Male FacultyFemale Faculty
Sample Size6030
Average working hours per week129
The standard deviation of a working hour per week43

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Male Faculty Female Faculty --------- Sample size $n1 = 60$ $n2 = 30$ Mean working hours $\bar{X}1 = 12$ $\bar{X}2 = 9$ Standard deviation $S1 = 4$ $S2 = 3$ Level of significance: $\alpha = 0.01$ (two-tailed) --- Null Hypothesis $H0: \mu1 = \mu2$ There is no significant difference in average week...

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