Null Hypothesis; Ho ₁ = ₂ - there is no difference in the mean homework time between the students enrolled in Arts & Sciences and Applied Science & Technology

Alternative Hypothesis; Ho _{1 2} - there is a difference in the mean homework time between the students enrolled in Arts & Sciences and Applied Science & Technology

Is this the correct way to format the hypothesis.

Second how would you graph this with an alpha of 0.05 for a t-test 2 sample means

School Enrolled Homework (in minutes) Arts and Science Applied Science and Technology Arts and Science 5 315 30 45 Applied Science and Technology 11 650 120 80 16 965 Totals 60 60 60 60 45 60 School Enrolled v. Homework (in minutes) 15 140 120 60 60 120 120 120 30 60 100 90 80 80 Arts and Science Applied Science and Technology Homework (in minutes) Mean 63 Mean 59.09090909 60 Standard Error Standard Error 8.057130716 59.09090909 15.29705854 Median 60 Median 60 15 Mode 60 Mode 60 40 37.5 Standard Deviation 34.20526275 Standard Deviation 26.72247947 30 30 Sample Variance 1170 Sample Variance 714.0909091 20 Kurtosis 2.818047337 Kurtosis 2.480819808 15 Skewness 1.492685283 Skewness 0.781305545 Range 90 Range 105 0 Minimum 30 Minimum 15 1 Maximum 120 Maximum 120 School Enrolled Sum 315 Sum 650 Count 5 Count 11 Arts and Science Applied Science and Technology Largest (1) 120 Largest (1) 120 Smallest (1) 30 Smallest (1) 15 Confidence Level (95.0%) 42.47144331 Confidence Level (95.0%) 17.95240598 t-statistic 0.226094553 p-value 0.824179792