Problem 12. (8 points) Given the following data set, x-14-240-23 y 4 5 0 41 1 1 Compute the coefficient of correlation r. Round your answer to 2 decimal places. r =Problem 11. (7 points) The weights of American newborn babies follow a normal distribution with mean of 119.54 oz (about 7 pounds 8 ounces) and standard deviation of 0.63 oz. In a random sample of 15 newborn babies, the mean weight was calculated to be 119.09 oz. (a) Find the standard error of the sampling distribution. Round your answer to 4 decimal places. Answer: (b) Using your answer to part (a), what is the probability that in a random sample of 15 newborn babies, the mean weight is more than 120.04 oz? Round your answer to 4 decimal places