1) (12 points) You will use information about the body mass index (BMI) variable for the sample of adolescent girls to compute and interpret confidence intervals. a) Based on the given information, compute a 90% confidence interval for the population mean BMI of adolescent girls. Note that if the sample size is sufficiently large, you can use a z* confidence multiplier instead of a t* confidence multiplier. SHOW ALL WORK IN YOUR DOCUMENT. Round any values that you use to three decimal places. b) In your 90% confidence interval, what is the point estimate for the population mean BMI of adolescent girls? Provide a numeric value. c) In your 90% confidence interval, what is the margin of error? Provide a numeric value. d) Interpret your 90% confidence interval for the population mean BMI of adolescent girls. e) Based on the given information, compute a 95% confidence interval for the population mean BMI of adolescent girls. Note that if the sample size is sufficiently large, you can use a z* confidence multiplier instead of a t* confidence multiplier. SHOW ALL WORK IN YOUR DOCUMENT. Round any values that you use to three decimal places. f) In your 95% confidence interval, what is the point estimate for the population mean BMI of adolescent girls? Provide a numeric value. g) In your 95% confidence interval, what is the margin of error? Provide a numeric value. h) Interpret your 95% confidence interval for the population mean BMI of adolescent girls.