In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.s. not in the Student's t table, use the closest d.r. that is smaler. In some situations, this choice of d.r. may increase the Pvalue by a small amount and therefore produce a slightly more "conservative" answer. Are America's top chief executive officers (CEOS) really worth all that money? One way to answer this question is to look at row B, the annual company percentage increase in revenue, versus row A, the CEO's annual percentage salary increase in that same company. Suppose a random sample of companies yielded the following data: B: Percent increase 24 25 25 18 6 4 21 for company A: Percent increase for CEO 23 23 22 14-4 19 15 30 A USE SALT Do these data indicate that the population mean percentage increase in corporate revenue (row B) is different from the population mean percentage increase in CEO salary? Use a 5% level of significance. (Let d-B- A.) (a) What is the level of significance? O State the null and aitemate hypotheses (b) What samoling distribution will you use? What assumptions are you making? O The standard nomal. We assume that d has an approximately uniform distribution. O The standard normal. We assume that d has an approximately normal distribution. O The Student's t. We assume that d has an approximately uniform distribution. O The Student's t. We assume that d has an approximately normal distribution. What is the value of the sample test statistic? (Round your answer to three decimal places.) (c) Find (or estimate) the Pvalue O Pevalue > 0.500 . O 0.250 a, we reject H The data are not statistically significant. O Since the Pvalue sa, we fail to reject H The data are statistically significant. O Since the Pvalue sa, we reject H The data are statistically significant. O Since the Pvalue>. we fail to reject .. The data are not statistically significant. (e) Interpret your conclusion in the context of the application. O Reject H At the 5% level of significance, the evidence is sufficient to claim a difference in population mean percentage increases for corporate revenue and CEO salary. O Fail to reject H At the 5% level of significance, the evidence is insufficient to claim a dirference in population mean percentage incareases for corporate revenue and CEO salary. O Reject Hg. At the 5% level of significance, the evidence is insuficient to claim a difference in population mean percentage increases for corporate revenue and CEO salary. O Fall to reject H At the 5% level of significance, the evidence is sufficient to daim a difference in population mean percentage increases for corporate revenue and CEO salary.

A poll was conducted on a representative sample of 600 adults living in the United States in order to investigate the decline in cable and satellite TV subscriptions. For this​ sample, 150 adults revealed that they are​ "cord cutters,"​ (that is, they canceled their​ cable/satellite TV service and now only use a video streaming​ service). You want to estimate​ p, the true proportion of all US adults who are​ "cord cutters." Complete parts a through e.   d. Give a practical interpretation of the confidence interval from part c. ​(Type integers or decimals rounded to three decimal places as needed. Use ascending​ order.)   A. The probability that the true proportion of all US adults who are​ "cord cutters" is enter your response here lies between enter your response here and enter your response here.   B. We can be enter your response here​% confident that the true proportion of all US adults who are​ "cord cutters" lies between enter your response here and enter your…

2. A real estate expert wanted to find the relationship between the sale price of houses and various characteristics of the houses. He collected data on five variables, recorded in the table, for 12 houses that were sold recently. The five variables are: Sale price of a house in thousands of dollars. Size of the lot in acres. Price: Lot Size: Living Area: Living area in square feet. Age: Type of house: town house (T) or Villa (V) Age of a house in years. Price Lot Size Living Area Age Туре of house 255 1.4 2500 8 T 178 0.9 2250 12 T T. T. T. 263 1.8 2900 5 0.7 2.6 127 1800 24 305 3200 10 164 1.2 2400 18 245 2.1 2700 T V 146 1.1 2050 28 287 2.8 2850 13 V 189 1.6 2600 9 211 1.7 2300 8 V 123 0.5 1700 11 V a) Find the regression equation for the town house b) Find the regression equation for the Villa c) What is the price of a town house with a lot size of 1.3, living area of 1800, and is 7 years old? EBBBBE A> >}>l> >{

A congressperson wants to come up with a single value to describe the prices of homes in their district. However, their district consists of a few homes that are extremely expensive compared to the others. Which descriptive statistic should they use? a. Range b. Mode c. Median d. Mean