(A) Socially conscious investors screen out stocks of alcohol and tobacco makers, firms with poor environmental records, and companies with poor labor practices. Some examples of "good," socially conscious companies are Johnson and Johnson, Dell Computers, Bank of America, and Home Depot. The question is, are such stocks overpriced? One measure of value is the P/E, or price-to-earnings ratio. High P/E ratios may indicate a stock is overpriced. For the S&P Stock Index of all major stocks, the mean P/E ratio is ? = 19.4. A random sample of 36 "socially conscious" stocks gave a P/E ratio sample mean of x = 17.6, with sample standard deviation s = 5.6. Does this indicate that the mean P/E ratio of all socially conscious stocks is different (either way) from the mean P/E ratio of the S&P Stock Index? Use ? = 0.05 i-What is the value of the sample test statistic? (Round your answer to three decimal places.)
(A) Socially conscious investors screen out stocks of alcohol and tobacco makers, firms with poor environmental records, and companies with poor labor practices. Some examples of "good," socially conscious companies are Johnson and Johnson, Dell Computers, Bank of America, and Home Depot. The question is, are such stocks overpriced? One measure of value is the P/E, or price-to-earnings ratio. High P/E ratios may indicate a stock is overpriced. For the S&P Stock Index of all major stocks, the mean P/E ratio is ? = 19.4. A random sample of 36 "socially conscious" stocks gave a P/E ratio sample mean of x = 17.6, with sample standard deviation s = 5.6. Does this indicate that the mean P/E ratio of all socially conscious stocks is different (either way) from the mean P/E ratio of the S&P Stock Index? Use ? = 0.05
i-What is the value of the sample test statistic? (Round your answer to three decimal places.)
(B)Let x be a random variable that represents red blood cell count (RBC) in millions of cells per cubic millimeter of whole blood. Then x has a distribution that is approximately normal. For the population of healthy female adults, suppose the mean of the x distribution is about 4.68. Suppose that a female patient has taken six laboratory blood tests over the past several months and that the RBC count data sent to the patient's doctor are as follows. Use a calculator with sample mean and standard deviation keys to find x and s.
| 4.9 | 4.2 | 4.5 | 4.1 | 4.4 | 4.3 |
i-What is the value of the sample test statistic? (Round your answer to three decimal places.)
We have given that
Sample size n =36
Sample mean =17.6
Sample standard deviation =5.6
Population mean =19.4
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