Understanding Basic Statistics 6th Edition by Charles Henry Brase,Corrinne Pellillo Brase

Exercise 73

Provide the following information
(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
(b) Check Requirements What sampling distribution will you use Explain the rationale for your choice of sampling distribution. Compute the value of the sample test statistic.
(c) Find (or estimate) the P -value. Sketch the sampling distribution and show the area corresponding to the P -value.
(d) Based on your answer in parts (a) to (c), will you reject or fail to reject the null hypothesis Are the data statistically significant at level
(e) Interpret you conclusion in the context of the application.
Finance: P/E of Stocks The price-to-earnings (P/E) ratio is an important tool in financial work. A random sample of 14 large U.S. banks (J.P Morgan, Bank of America, and others) gave the following P/E ratios (Reference: Forbes ).
24 16 22 14 12 13 17
22 15 19 23 13 11 18
The sample mean is
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 = 19. 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 = 4.5. Do these data indicate that the P/E ratio of all U.S. bank stocks is less than 19 Use = 0.05.