A scientist has read that the mean birth weight u of babies born at full term is 7.3 pounds. The scientist, believing that the mean birth weight of babies born at full term is less than this value,...

Extracted text: A scientist has read that the mean birth weight u of babies born at full term is 7.3 pounds. The scientist, believing that the mean birth weight of babies born at full term is less than this value, plans to perform a statistical test. She selects a random sample of 75 birth weights of babies born at full term. Suppose that the population of birth weights of babies born at full term has a standard deviation of 1.8 pounds and that the scientist performs her hypothesis test using the 0.05 level of significance. Based on this information, answer the questions below. Carry your intermediate computations to at least four decimal places, and round your responses as indicated. (If necessary, consult a list of formulas.) Н : μ is What are the null and alternative hypotheses that the scientist should use for the test? H, : u is Assuming that the actual value of u is 6.82 pounds, what is the power of the test? Round your response to at least two decimal places. What is the probability that the scientist rejects the null hypothesis when, in fact, it is true? Round your response to at least two decimal places.