Please show how each answer was derived

2"(15 points) Assume that hemoglobin values of adult women are normally distributed with mean 13.5 g/dL and standard deviation 1.25 g/dL. a. What is the probability that a randomly picked adult woman has hemoglobin below 12? Probability: 0.1150697316 (as shown on calculator) b. What is the probability that the mean of a random sample of 4 adult women is below 12? Probability: 0.0455 that the mean of a random sample of 4 adult women is below 12 O. Suppose that the mean and standard deviation quoted above are actually estimates based on a random sample of size 100. Construct a 95% confidence interval for the population mean hemoglobin of adult women. d. Write a one-sentence interpretation of the confidence interval. e. Based on your answers to parts c & d, would a hypothesis test of whether the population mean was equal to 13 be statistically significant at alpha=.05? Why or why not? (One sentence answer: you don't need to actually do the test)