1. (14 points} You will use sample data for the body mass index {BMI} variable from the BodyFatPercentage data le to compute and interpret confidence intervals. a. Using RStudio, generate output showing the sample mean, sample standard deviation, and sample size for the SN\" variable. Refer to the Tutorial for Problem Set 7 for guidance on generating the appropriate output. In the document you upload for this assignment, for 1.a. include an image showing the R code you used to calculate the probability, comments for the R code, and the output from the RStudio Console. IMPORTANT INSTRUCTIONS: To receive credit, you MUST include your name in the comments for the R code for #1.a. Based on the provided information about the population standard deviation and using the data from 1.a., compute a 99% confidence interval for the population mean BMI of adolescent girls. Note that if the sample size is sufciently large, you can use a 2* confidence multiplier instead of a t' confidence multiplier. DO NOT USE RStudio to compute this condence interval; do the final calculations by hand and show all work in the document you upload for the assignment. Refer to the Tutorial for Problem Set 7 for guidance and examples of showing work. Round any intermediate values you use to three decimal places, and round the values in your confidence interval to three decimal places. In your 99% confidence interval, what is the point estimate for the population mean BMI of adolescent girls? Provide a numeric value, rounded to three decimal places. In your 99% confidence interval, what is the margin of error? Provide a numeric value, rounded to three decimal places. Interpret your 99% confidence interval for the population mean BMI of adolescent girls. Refer to the Tutorial for Problem Set 7 for guidance on interpreting confidence intervals. Based on the provided information about the population standard deviation and using the data from 1.a., compute a 95% confidence interval for the population mean BMI of adolescent girls. Note that if the sample size is sufciently large, you can use a 2* confidence multiplier instead of a t' confidence multiplier. DO NOT USE RStudio to compute this condence interval; do the final calculations by hand and show all work in the document you upload for the assignment. Refer to the Tutorial for Problem Set 7 for guidance and examples of showing work. Round any intermediate values you use to three decimal places, and round the values in your confidence interval to three decimal places. In your 95% confidence interval, what is the point estimate for the population mean BMI of adolescent girls? Provide a numeric value, rounded to three decimal places. In your 95% confidence interval, what is the margin of error? Provide a numeric value, rounded to three decimal places