Let x be a random variable representing dividend yield of bank stocks. We may assume that x has a normal distribution with σ = 3.3%. A random sample of 10 bank stocks gave the following yields (in 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 x = 5.38%. Suppose that for the entire stock market, the mean dividend yield is μ = 4.0%. Do these data indicate that the dividend yield of all bank stocks is higher than 4.0%? Use ? = 0.01.

3.4.1 1. Suppose Z represents the standard normal random variable. If a value is selected at random from the standard normal distribution, find the probability that Z is: a. Less than 0 b. Between -2.35 and 1.65 c. Greater than 1.86 d. Greater than -2.15 and less than 1.67 e. Less than -1.92 or greater than 2.41

Chapter 5, Section 2, Exercise 043 Hearing Loss in TeenagersA recent study1 found that, of the 1771 participants aged 12 to 19 in the National Health and Nutrition Examination Survey, 19.5% had some hearing loss (defined as a loss of 15 decibels in at least one ear). This is a dramatic increase from a decade ago. The sample size is large enough to use the normal distribution, and a bootstrap distribution shows that the standard error for the proportion is SE=0.009.Find a 95% confidence interval for the proportion of teenagers with some hearing loss.Round your answers to two decimal places.The 95% confidence interval is to .

The price to earnings ratio (P/E) Is an Important tool in financial work. A random sample of 14 large U.S. banks (JP Morgan Chase, Bank of America, and others) gave the following P/E ratios.t 24 16 22 14 12 13 17 22 15 19 23 13 11 18 The sample mean is x = 17.1. Generally speaking, a low P/E ratio indicates a "value" or bargain stock. Suppose a recent copy of a magazine indicated that the P/E ratio of a certain stock index is H = 18. Let x be a random variable representing the P/E ratio of all large U.S. bank stocks. We assume that x has a normal distribution and o = 4.7. Do these data indicate that the P/E ratio of all U.S. bank stocks is less than 18? Use a = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? O Ho: H = 18; H1: H # 18; two-tailed O Ho: H = 18; H1: H 18; right-tailed %3D O Ho: H # 18; H1: H = 18; two-tailed (b) What sampling distribution will you use? Explain the rationale…