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1. The dataset textmessages.cav contains variables measured from a survey conducted of Harvard students enrolled in a recent Statistics class: female: an indicator variable which

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1. The dataset "textmessages.cav" contains variables measured from a survey conducted of Harvard students enrolled in a recent Statistics class: female: an indicator variable which is 1 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. A researcher wants to know whether female students send more text messages than male students and if younger students (freshman or sophomores) send more text messages than older students (junior and senior students). Note 1: All of the below computations must be conducted in R. a. Obtain the mean and standard deviations of the number of text messages by male and female students. b. Perform a test to compare the variances in text messages between females and males. c. Perform an appropriate t-test to address the investigator's scientific question (use the data without transformation). d. Graphically investigate the assumption of Normality in the "response" variable to compare these groups. Also run the Anderson-Darling normality test and make a conclusion based on the results. e. If needed, perform an appropriate transformation to make the Normality assumption more valid. Be sure to include important graphics and a hypothesis test to substantiate your choice of transformation. f. Obtain the mean and standard deviations of the transformed variable by male and female students. g. Perform an appropriate t-test using the transformed variable to address the investigator's research question regarding gender. h. What is the female-to-male median text messages ratio? i. Find a 95% confidence interval for the female-to-male median text messages ratio. Explain your findings. j- Perform a hypothesis test to evaluate if younger students (freshman or sophomores) send more messages than older students (junior and senior students). Report the hypothesis you are testing, the test results, and your conclusion

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