Question

Let be a random variable representing dividend yield of bank stocks. We may assume that has a normal distribution with = 3.1%. A random sample of 10 bank stocks gave the following yields (in percents). The sample mean is = 5.38%. Suppose that for the entire stock market, the mean dividend yield is = 4.7%. Do these data indicate that the dividend yield of all bank stocks is higher than 4.7%? Use = 0.01. What is the level of significance? (Enter a number.) =_________________ State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? : = 4.7%; : ≠ 4.7%; two-tailed : = 4.7%; : > 4.7%; right-tailed     : = 4.7%; : < 4.7%; left-tailed : > 4.7%; : = 4.7%; right-tailed The Student's , since is large with unknown . The standard normal, since we assume that has a normal distribution with known .     The Student's , since we assume that has a normal distribution with known . The standard normal, since we assume that has a normal distribution with unknown . Compute the value of the sample test statistic. (Enter a number. Round your answer to two decimal places.) =_______________ Find (or estimate) the -value. (Enter a number. Round your answer to four decimal places.) =________________