The dataset \"textmessages.rds\" contains variables measured from a survey conducted of Harvard students enrolled in a recent Statistics class: female: an indicator variable which is l for females and 0 for males; underclassman: an indicator variable which takes on the value 1 for a freshman or a sophomore, or 0 for a junior, senior, or a grad student; and texts: a variable that measures the number of text messages the respondent says he or she sends in a typical day. An investigator wants to know Whether male or female students send more text messages. a) Obtain the mean and standard deviations of the number of text messages by male and female students. b) Perform an appropriate t-test to address the investigator's scientic question (without doing any transformations). c) Is your conclusion in (b) applicable to the population (i.e., all the Harvard's students)? Explain. d) Graphically investigate the assumption of Normality in the \"response\" variable to compare these groups. Perform an appropriate transformation to make the Normality assumption more valid. Be sure to include important graphic(s) to substantiate your choice of transformation. 6) Obtain the mean and standard deviations of transformed variable by male and female students. f) Perform an appropriate t-test using the transformed variable to address the investigator's scientic question. g) What is the female-to-male median text messages ratio? h) Without doing any calculation, do you think a 95% condence interval for the female-to- male median text messages ratio includes 1'? Explain. i) Find a 95% condence interval for the female-to-male median text messages ratio. female texts underclassman 1 0 0 2 1 2 0 3 0 N 0 4 0 W 0 5 1 UI 0 6 O 0 7 1 UI H 8 O 0 9 5 0 10 1 0 11 0 5 H 12 0 UT 0 13 0 UT 14 O 7 H 15 0 10 16 0 10 0 17 O 10 H 18 1 10 19 1 10 0 20 0 10 0 21 1 10 1 22 0 10 0 23 O 10 0 24 1 10 0 25 0 10 0 26 0 10 0 27 0 12 028 13 0 29 0 15 0 30 1 15 0 31 1 15 32 1 15 0 33 0 15 H 34 1 15 0 35 0 15 0 36 0 20 0 37 1 20 1 38 0 20 0 39 0 20 1 40 0 20 H 41 0 20 1 42 1 20 0 43 1 20 O 44 0 20 45 0 20 0 46 1 20 0 47 1 20 0 48 0 20 0 49 0 20 H 50 0 25 1 51 1 25 H 52 0 25 0 53 1 30 0 54 0 30 O55 0 30 0 56 1 30 O 57 0 30 O 58 0 30 59 0 30 1 60 0 30 H 61 1 35 62 1 40 0 63 0 40 O 64 1 45 H 65 0 50 66 0 50 67 0 50 H 68 0 50 0 69 1 50 70 1 50 0 71 1 50 72 0 50 1 73 0 50 0 74 0 50 O 75 0 50 H 76 0 50 O 77 1 50 O 78 0 50 O 79 0 50 0 80 1 52 0 81 0 6082 70 83 100 84 0 100 O 85 100 86 0 100 H 87 0 100 88 0 100 1 89 150 H 90 150 O 91 O 200 1 92 0 200 H 93 0 300 94 H 350 O