oy's Texaco wants to keep the price of its unleaded gasoline competitive with that of other stations in the area. Roy's is currently charging $1.29 per gallon. To check that the average price for this gasoline for all stations within 12-mile radius is higher than his price, Roy randomly samples the price of unleaded gasoline at ten stations located in this area. He obtains the following data for the price per gallon (in dollars): 1.7, 1.5, 2.6, 2.2, 2.4, 2.3, 2.6, 3.0, 1.4, 2.3 Set up appropriate hypotheses and test them using a significant level of .01.

For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.In a combined study of northern pike, cutthroat trout, rainbow trout, and lake trout, it was found that 24 out of 821 fish died when caught and released using barbless hooks on flies or lures. All hooks were removed from the fish.   (a) Let p represent the proportion of all pike and trout that die (i.e., p is the mortality rate) when caught and released using barbless hooks. Find a point estimate for p. (Round your answer to four decimal places.)(b) Find a 99% confidence interval for p. (Round your answers to three decimal places.) lower limit       upper limit       Give a brief explanation of the meaning of the interval. A. We are 99% confident that the true catch-and-release mortality rate falls outside this interval. B. We are 1% confident that the true catch-and-release mortality rate falls above this interval.     C. We are 99% confident that the…

A semiconductor manufacturer produces devices used as central processing units in personal computers. The speed of two model devices, measured in megahertz, is important because it determines the price that the manufacturer can charge for the devices. The following data presents the measurement on 20 devices each for the two models. Model A: 680 670 710 669 669 719 699 722 663 658 634 720 690 677 700 718 690 681 702 Model B: 652 720 660 695 701 724 668 698 668 660 680 739 717 727 653 637 660 693 679 a. Which of the two models is relatively faster? What is your basis for stating such? b. If you were to choose which between the two models you are going to use as central processing unit in a personal computer, which would it be and why? Support your answer statistically.

A firm produces bolts whose length x is normally distributed with a Me = 78.3 mm and a SD = 1.4mm. If any bolt longer than 80mm has to be discarded, what proportion of the firm's production will be lost?