Medical records from pediatric hospitals suggest that newborn babies' average birth weight is at least 7 pounds. To test this claim, researchers collected the birth weight of a random sample of newborn babies. The sample size was 50, the mean of the sample was 5.9 pounds and the standard deviation was 0.2 pounds. At alpha =0.10, test if the sample can reject the null hypothesis. Write the null and alternate hypotheses. (2 points) a. What happens if alpha=0.05? (2 points) b. What happens if the sample size was 10 instead of 50? (2 points) 2. Axis Aircraft Engines Corp. sells aircraft engines to commercial airlines. Axis offers performance-based sales contracts guaranteeing that engines will provide a certain amount of lifetime flight hours subject to airlines purchasing a preventive maintenance service plan. Based on extensive flight testing and computer simulations, Axis believes mean lifetime flight hours are normally distributed with a mean = 26,500 hours and standard deviation = 5,000 hours. What is the probability that an engine will last more than 35,000 hours? (2 points) a. Axis is considering a guarantee that will provide a discount on a replacement aircraft engine if the original engine does not meet