A zoologist selected 12 black bears in a Canadian habitat at random to examine the relationship between the age in years, cc, and the weight in tens of pounds, 3;. The 95 percent condence interval for estimating the population slope of the linear regression line predicting weight in tens of pounds based on the age in years is given by 1.272 :t 0.570. Assume that the conditions for inference for the slope of the regression equation are met. Which of the following is the correct interpretation of the interval? We are 95 percent condent that the mean increase in the weight of a black bear for each one-year increase (A) in the age of the bear is between 7.0 and 18.4 pounds. We are 95 percent condent that an increase of one year in the age of an individual black bear will result in an increase in the black bear's weight of between 7.0 and 18.4 pounds. (B) We are 95 percent condent that for every one-year increase in the age of black bears in the sample, the average increase in the weights of those black bears is between 7.0 and 18.4 pounds. (C) (D) We are 95 percent condent that the mean increase in the age of a black bear for each one-pound increase in the weight of the black bear is between 7.0 and 18.4 years. (B) We are 95 percent condent that any sample of 12 black bears will produce a slope of the regression line between 7.0 and 18.4. A car retailer wanted to see if there is a linear relationship between overall mileage and the suggested retail price of a car. The retailer collected data on 18 cars of a similar type selected at random and used the data to test the claim that there is a linear relationship. The following hypotheses were used to test the claim. H021:0 Hail70 The test yielded a t-value of 2.186 with a corresponding pvalue of 0.044. Which of the following is the correct interpretation of the pvalue? If there is a linear relationship between overall mileage and the suggested retail price of a car, the probability (A) of observing a test statistic at least as extreme as 2.186 is 0.044. If there is not a linear relationship between overall mileage and the suggested retail price of a car, the probability of observing a test statistic at least as extreme as 2.186 is 0.044. (B) If there is not a linear relationship between overall mileage and the suggested retail price of a car, the (C) probability of observing a test statistic of 2. 186 or greater is 0.044. If there is not a linear relationship between overall mileage and the suggested retail price of a car, the probability of observing a test statistic of2. 186 is 0.044. If there is a linear relationship between overall mileage and the suggested retail price of a car, the probability of observing a test statistic of 2. 1 86 or greater is 0.044. (D) (E) A researcher collected data on the cholesterol level, 0, and the age, A, of 24 people selected at random. Using the data, the researcher calculated the least-squares regression line to be C = 182 + 2.2A and the standard error of the slope to be 0.38. If the conditions for inference are met, which of the following is closest to the value of the test statistic to test the hypotheses H0 : ,8 = 0 versus Ha : f3 75 0 ? (A) t = 0.17 (B) t = 0.38 (C) t = 0.836 (D) t : 2.2 (E) t = 5.79