The price of a share of stock divided by the company's estimated future earnings per share is called the P/E ratio. High P/E ratios usually indicate "growth" stocks, or maybe stocks that simply overpriced. Low P/E ratios indicate "value" stocks or bargain stocks. A random sample of 51 of the largest companies in the United States gave the following P/E ratiost. 11 35 19 13 15 21 40 18 60 72 9 20 29 53 16 26 21 14 21 27 10 12 47 14 33 14 18 17 20 19 13 25 23 27 5 16 8 49 44 20 27 19 18 32 8 19 12 31 67 51 26 (a) Use a calculator with mean and sample standard deviation keys to find the sample mean x and sample standard deviation s. (Round your answers to one decimal place.) (b) Find a 90% confidence interval for the P/E population mean u of all large U.S. companies. (Round your answers to one decimal place.) lower limit upper limit (c) Find a 99% confidence interval for the P/E population mean u of all large U.S. companies. (Round your answers to one decimal place.) lower limit: upper limit

How productive are U.S. workers? One way to answer this question is to study annual profits per employee. A random sample of companies in computers (I), aerospace (II), heavy equipment (III), and broadcasting (IV) gave the following data regarding annual profits per employee (units in thousands of dollars). I II III IV 27.9 13.5 22.2 17.9 23.2 9.6 20.5 16.4 14.7 11.1 7.7 14.5 8.3 8.9 12.7 15.9 11.8 6.5 7.7 10.6   19.1   9.5 What are the degrees of freedom? (numerator) (denominator)(c) Find the P-value of the sample test statistic. P-value > 0.100 0.050 < P-value < 0.100     0.025 < P-value < 0.050 0.010 < P-value < 0.025 0.001 < P-value < 0.010 P-value < 0.001 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Since the P-value is greater than the level of significance at α = 0.05, we do not reject H0. Since the P-value is less than or equal to the level of significance at α = 0.05, we…

The data below represent US exports (in billions of dollars) to 18 countries in 2015  Canada 133.7 Mexico 56.8 Germany 23.5 Taiwan 18.4 Norway 16.6 China 12.0 Australia 12.0 Malaysia 8.5 Japan 67.5 UK 30.9 South Korea 26.6 France 14.4 Brazil 12.7 Belgium 12.5 Italy  8.8 Thailand 7.2 S.A 7.3 Austria 7.3 Find the mean and median.  What is the most appropriate measure of central tendency for this sample? Why?  Find the sum of squares, range, variance, and standard deviation for the sample. What is the z-score for the UK?  What is the z-score for SA? What percent of the data falls between Saudi Arabia and Norway?  What raw scores (two scores) correspond to the boundaries of the center 95% of the distribution?

A survey of 30 people was conducted about how many siblings they had. A graph was created that showed the percentage of the survey group, which had each number of siblings. The "frequency" column in the table shows the number of responses that having a certain number of siblings received.   Using appropriate and precise statistical terminology, describe the distribution and provide an explanation for the distribution being a certain way.

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A recent poll of 3,107 individuals asked: "What's the longest vacation you plan to take this summer?" The following relative frequency distribution summarizes the results. Response Relative Frequency A few days 0.22 A few long weekends 0.35 0.24 0.19 One week Two weeks a-1. Construct the frequency distribution of these data. Note: Round your answers to the nearest whole number. Response A few days A few long weekends One week Two weeks Total Frequency 0 a-2. How many people are going to take a one-week vacation this summer? Note: Round your answer to the nearest whole number. Number of people b. Select a bar chart for this data. Frequency 1200 1000 800 600 400 200 Bar Chart A Frequency Bar Chart B Bar Chart C 1200 1400 1000 800 600 400 200 Frequency 1200 1000 800 600 400 200 80 0 0 0 A few days A few days A few long One week Two weeks A few days A few long One week Two weeks A few long weekends One week Two weeks weekends weekends Response Response Response

Section 3.1, question 15

The increasing annual cost (including tuition, room, board, books, and fees) to attend college has been widely discussed (Time.com). The following random samples show the annual cost of attending private and public colleges. Data are in thousands of dollars. Private Colleges 51.8 42.2 45.0 33.3 43.0 30.6 44.8 36.8 49.5 42.0   Public Colleges 20.3 22.0 28.2 15.6 24.1 28.5 22.8 25.8 18.5 25.6 14.4 21.8 (a) Compute the sample mean (in thousand dollars) and sample standard deviation (in thousand dollars) for private colleges. (Round the standard deviation to two decimal places.) sample mean$   thousandsample standard deviation$   thousand Compute the sample mean (in thousand dollars) and sample standard deviation (in thousand dollars) for public colleges. (Round the standard deviation to two decimal places.) sample mean$  thousandsample standard deviation$  thousand (b) What is the point estimate (in thousand dollars) of the difference between the two population…