Wits} L'DFTAILS l BBUNDERSTAT128.1.019. Let x'be a random variable representing dividend yield of bank stocks. We may assume that x has a normal distribution with a = 2.7%. A random sample of 10 bank stocks gal/ thee-Folio percents). . 5.7 4.8 6.0 4.9 4.0 3.4 6.5 7.1 5.3 6.1 . _ ' The sample mean is )7 = 5.38%. Suppose that for the entire stock market, the mean dividend yield Is u = 5.0%. Do these data indicate that the dividend yield of all bank stocks is higher ma Use a = 0.01. (a) What is the level of signicance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? 0 H0: u = 5%; H1: ,4 5%; right-tailed 0 Ho: u = 5%; H1: 1' =1: 5%; two-tailed O HO: i4 > 5%; H1: [4 = 5%; right-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. 0 The Student's t, since n ls large with unknown 6. O The Student's t, since we assume that x has a normal distribution with known a. Q The standard normal, since we assume that x has a normal distribution with unknown 6. Q The standard normal, since we assume that x has a normal distribution with known a. comp t the 2 value of the sample test statistic. (Round your answer to two decimal places.)