Problem Statement: A sample of 55 students is selected. Data is collected on the students' GPA, the # of hours studying per week, the # of hours sleeping per night and gender. Divide the sample into two samples based on gender (Females versus Males). Calculate the statistics for all variables and answer the following questions: a) Decide at the level of significance of 5% if there is any difference between the average GPA of females and males. b) Decide at the level of significance of 5% if there is any difference between the average # of hours studying per week of females and males. c) Decide at the level of significance of 5% if there is any difference between the average # of hours sleeping per night of females and males.

studyweek sleepnight gender 3.89 SO 6 female 39 15 6 female 3.75 15 7 female 3.6 10 6 male 4 25 7 female 3.15 20 7 male 3.25 15 6 female 3.925 10 & female 3.428 12 8 female 8 male 10 8 female 29 6 female 3.925 30 7 female 3.65 21 9 female 3.75 10 8 5 female 4.67 14 65 male 31 12 75 male 12 & female 3.4 4 9 female 31575 15 5 5 female 3.85 7 female 3.4 10 7 female 315 12 8 male 6 female 3.825 35 8 female 3.925 10 female 4 40 8 female 3.425 14 9 female 3.75 30 6 female 3.15 6 female 3.4 3.7 20 7 female 3.36 40 7 female 15 7 male 3.7 25 5 female 10 7 female 3.825 7 female 3.2 15 6 female 315 8 male 11 7 female 3 6 female 3198 4 7 female 3.7 4 5 male 3.81 75 female 4 47 5 female 31 7 male 34 9 male 8 male 3.65 20 6 female 3.7 8 female 8 female 4 7 female 45 6 female 3541 75 female 20 6 female