A medical researcher is studying obesity in adolescent girls. The researcher collected body mass index (EMU, bodyfot percentage, and other personal variables from 5'2 adolescent girls. The data collected by the researcher is a random sample representative of the population of all adolescent girls. The following variables were collected: - w: the body mass index of each girl - Pct Fat: the bodyfat percentage of each girl - Activity: the activity level for each girl (high, medium, or low} - Menarche: whether the girl has achieved menarche {Yes or ND} Problem Set 3 has two questions worth 25 points. Head each question carefully and follow all instructions. Please iollow these instructions for providing your responses: - For #13... 1.b., la. and 2.d., you need to provide the It code that you use to generate the output or data display and provide the output as displayed in the RStudio Console or the data display as shown in the loom window in FtStudio. - For all other questions, you should type your responses directly in the document you submit for Problem Set 3. 1I'ou should NUT provide R code or HStudio output tor all other questions. 1. [10 points} Open the BodyFotPercentoge.RDato le in ltStlidio. You need to generate descriptive statistics for variables and answer questions related to the distribution of two variables. a. For the EM! variable, use the summary command to generate descriptive statistics. The BM! variable measures the body mass index of each girl in the study. In the document you upload for this assignment, include: i. the R code you used to generate the descriptive statistics, including any comments {IMPORTANT IIISTRUETIDNS: you MUST include your name in a comment line of the R code for #1.a.] ii. an image of the descriptive statistics output in RStudio For the Fct_Fot variable, use the summaryr command to generate descriptive statistics. The Pct_Fot variable measures the body fat percentage of each girl in the study. In the document you upload for this assignment, include: i. the R code you used to generate the descriptive statistics, including any comments {IHPDR'I'ANT IHSTRUETIDNS: you MUST include your name in a comment line ot the R oode tor #111] ii. an image of the descriptive statistics output in RStudio Using the 1.5*[IQR} criterion for outliers, for the distribution of adolesoent girts, would a body mass index value of 10 be oonsidered an outlier? Show all work. Using the 1.5*[IQR} criterion for outliers, for the distribution of adolescent girls, would a body fat percentage value of 48% be considered an outlier? Show all work. \f:: EddyFatPercentage . 61 8 65 6? 69 ?9 ?1 12 13 ?4 ?5 ?I6 I"? ?B ?9 81 ES 85 8? 89 99 91 9.2 29.1 1'99 29.84?6 22.6612 39.9?81 22.6121 24.2981 31 32?? 24.1429 23 .4981 24.??9? 19.4615 19.9188 29.1 9?3 29.6894 19.1 685 29.?282 16.1438 1?.?1 1 3 16.9929 16.?395 18.925? 1?.2245 18.3838 18.1 828 1?.9?5? 1?.6386 18.6891 1?.51?9 1 6.1 1 98 18.8322 15.4559 18.3936 y". ' | 1? Filter Pct_Fat 2 5.? 3?.6 3 5.9 36.3 33.9 49.5 26.4 2?.3 32.2 19.6 24.5 22.6 39.2 26.9 39.2 21.9 19.4 21.1 1?.3 29.5 19.3 28.? 18.3 1 5.6 23.9 24.5 23.3 29.1 39.3 29.6 26.9 Mil-iii? medium medium medium medium medium medium medium medium medium medium medium medium medium medium medium medium Icm medium medium medium medium medium medium medium medium medium medium medium medium Icm medium medium Men arch: Yes N a Yes Yes N a Yes N a Yes N a Yes Yes Yes N a Yes Yes Yes N a Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes N d N d N d N a Na