Show your work (by hand or your Excel code) to receive full credit. Do your calculations in this document or paste images of your work in this document. Submit this document as a doc, docx, or pdf file. Here are population level data (inspired by the distribution in the National Health and Nutrition Examination Survey [NHANES]) Males Females Mean Std Mean Std Dev Population Dev Daily potassium intake (mg) 2,771 390 2,225 370 Daily energy intake (kcal) 2,318 270 1,765 120 These are the characteristics of a sample of people from this population. Males Females Sample n Mean n Mean Daily potassium intake (mg) 500 2,800 650 2,100 Daily energy intake (kcal) 2,200 1,900 1) Calculate the standard error for daily potassium intake and daily energy intake for males and females separately (using the population variance). (1 point) 2) Conduct (4) 2-sided hypothesis tests to determine whether the sample means are representative of the population means (for each variable and gender separately). You must use the include all the steps described in class to receive full credit. Alpha = 0.05 for this exercise. (6 points) 3) Calculate and interpret the following 2-sided confidence intervals. a. 95% confidence interval for the sample mean daily potassium intake for males (1.5 points) b. 75% confidence interval for the sample mean daily energy intake for females (1.5 points)