The following display from a graphing calculator presents the least-squares regression line for predicting the price of a certain commodity (y) from the price of a barrel of oil (x). y I a+bx a = 495 b = 0.29 r2 = 0.53045 r= 0.72332 Predict the commodity price when oil costs $107 per barrel. (Round your answer to the nearest whole number) One of the primary feeds for beef cattle is corn. The following table presents the average price in dollars for a bushel of corn and a pound of ribeye steak for 10 consecutive months. Corn Price ($/bu) Ribeye Price ($/1b) 6.25 13.57 5.81 12.99 5.79 13.01 6.64 13.70 6.24 13.54 6.03 12.71 5.99 12.47 6.28 13.50 6.33 13.02 5.87 12.40 Compute the correlation coefficient between the corn price and the ribeye price. (Round your answer to three decimal places)Assume that you plan to use a significance level of a = 0.05 to test the claim that p1 = p2. Use the given sample sizes and numbers of successes to find the z test statistic for the hypothesis test. In a vote on the Clean Water bill, 46% of the 205 Democrats voted for the bill while 48% of the 230 Republicans voted for it. (Round your answer to three decimal places)Use the traditional method to test the given hypothesis. Assume that the population is normally distributed and that the sample has been randomly selected. Provide the following: a. Degrees of Freedom: [ Select ] b. Test Statistic: [ Select ] c. Critical Value: [ Select ] V d. Decision: [ Select ] e. Interpret your decision in context of the problem: [ Select ] V With individual lines at the checkouts, a store manager finds that the standard deviation for the waiting times on Monday mornings is 5.7 minutes. After switching to a single waiting line, he finds that for a random sample of 29 customers, the waiting times have a standard deviation of 4.9 minutes. Use a 0.025 significance level to test the claim that with a single line, waiting times vary less than with individual lines.A random sample of 9 TI-89 Titanium calculators being sold over the internet had the following prices, in dollars. 124 144 147 143 144 136 147 136 150 Assume the population standard deviation is o =27 and that the population is approximately normal. Construct a 90% confidence interval for the mean price for all the TI-89's being sold over the internet. (Round your answers to one decimal place)