submit the following questions.

19. Dividend Yield: Australian Bank Stocks Let x be a random variable represent- ing dividend yield of Australian bank stocks. We may assume that x has a normal distribution with o = 2.4%. A random sample of 10 Australian bank stocks gave the following yields. 10.0 5.7 4.8 6.0 4.9 4.0 3.4 6.5 7.1 5.3 6.1 The sample mean is x = 5.38%. For the entire Australian stock market, the mean dividend yield is u = 4.7% (Reference: Forbes). Do these data indicate that the dividend yield of all Australian bank stocks is higher than 4.7%? Use a = 0.01.closest aj. the P-value by a small amount and therefor vative" answer. 11. Meteorology: Storms Weatherwise is a magazine published by the American Meteorological Society. One issue gives a rating system used to classify Nor'easter storms that frequently hit New England and can cause much damage near the ocean. A severe storm has an average peak wave height of M = 16.4 feet for waves hitting the shore. Suppose that a Nor'easter is in pro- gress at the severe storm class rating. Peak wave heights are usually measured from land (using binoculars) off fixed cement piers. Suppose that a reading of 36 waves showed an average wave height of x = 17.3 feet. Previous studies of severe storms indicate that o = 3.5 feet. Does this information suggest that the storm is (perhaps temporarily) increasing above the severe rating? Use a = 0.01. I et x be a random variable that represents the pH of