na rich IOI (a) What is the standard deviation of the sampling distribution of mean body lengths x! this (b) What critical value was used to compute 95% confidence interval? (c) Show the step-by-step computations required to arrive at the interval provided by the graphing calculator. (d) Would a 90% confidence interval based on the same data be larger or smaller? Explain your reasoning. io 14.32Waist circumference. The 2012 National Health and Nutrition Examination Survey reports a 95% confidence interval of 99.8 to 102.0 centimeters for the mean waist circumference of adult women in the United States. (a) What is captured by this confidence interval? (b) Express this confidence interval as a sentence written in the context of this problem. (c) What is the margin of error for this confidence interval? Express this interval in the format "estimate ±E margin of error. (d) Would a 99% confidence interval based on the same ce ins data be larger or smaller? Explain your reasoning. 14.33 Avandia and cholesterol. Drug maker OGlaxoSmithKline investigated the potential impact of its oral antidiabetic drug Avandia (rosiglitazone maleate) on the blood lipid levels of adults diagnosed with diabetes who might benefit from taking Avandia. The mean baseline low-density lipoprotein (LDL, also known as "bad" cholesterol) level for a random sample of 964 such patients was x= 125.6 milligrams per deciliter (mg/dl). be distribu