The birth weights of newborn babies in the United States follow a normal distribution with a mean of $7.5$ pounds and a standard deviation of $1.25$ pounds. Researchers interested in studying how children gain weight decide to take a random sample of $100$ newborn babies. **Calculate the mean of the sampling distribution of the average birth weight of $100$ randomly selected U.S. newborn babies.** [[☃ math-keypad 1]] pounds **Calculate the standard deviation of the sampling distribution of the average birth weight of $100$ randomly selected U.S. newborn babies.** [[☃ math-keypad 2]] pounds **Would the sampling distribution of the average birth weight of $100$ randomly selected U.S.. newborn babies be approximately normal?** [[☃ radio 1]]