(1 point) 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 0.66 oz. In a random sample of 15 newborn babies, the mean weight was calculated to be 119.06 oz. (a) Find the standard error of the sampling distribution. Round your answer to 4 decimal places. Answer: 0.1704 (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. Answer:(1 point) On a particular golf course, a sample of 40 golfers have a mean golf score of 91. Suppose the population standard deviation for this course is 5.2. (a) Using the formula a 99% confidence interval as presented in lecture, fill in the blanks with the appropriate values for this problem for calculating the confidence interval below. To enter vx where x is any number, type sqrt(x). For example, v2 should be typed as sqrt(2). 5.2 5.2 91 2.58 to 91 2.58 40 40 (b) Find a 99% confidence interval for the mean golf score of all golfers. Round each answer to the nearest hundredth (2 decimal places). 88.88 to 93.12 (c) Calculate the margin of error for the answer above. Round the answer to the nearest hundredth (2 decimal places).(1 point) A random sample of 80 observations produced a mean of 30.7 from a population with a normal distribution and a standard deviation of 4.54. Find a 95% confidence interval for M: OSHSO Note: Round your answer to 2 decimal places