2. The weights of American newborn babies are normallydistributed with a mean of 119.54 oz (about 7 pounds 8 ounces) anda population standard deviation of 0.67 oz. A sample of 14 newbornbabies is randomly selected from the population.
(a) Find the standard error of the sampling distribution. Roundyour answer to 4 decimal places.
(b) Using your answer to part (a), what is the probability thatin a random sample of 14 newborn babies, the mean weight is at most119.09 oz? Round your answer to 4 decimal places.
(c) Using your answer to part (a), what is the probability thatin a random sample of 14 newborn babies, the mean weight is morethan 120.03 oz? Round your answer to 4 decimal places.
