Question 4. The percentage of titanium in an alloy used in aerospace castings is measured in 51 randomly selected parts. The sample standard deviation is s = 0.37. Construct a 95% two-sided confidence interval for the standard deviation

It's Halloween, and Ralphie has 6 large bags, each filled with a combination of 4 different kinds of candy. Each bag should have an approximately equal amounts of each flavor. But, being a buffalo, Ralphie is not sure that she spread the candy out evenly. She has asked your help to determine whether the proportions of flavors within each bag is the same. Each bag contains hundreds of pieces of candy, so we can't count them all by hand. Instead, you take a sample of 50 pieces from each bag. The table below displays the counts of each type of candy within each sample of 50 pieces: Candy A Candy B Candy C Candy D Bag 1 14 18 11 6 Bag 2 10 20 12 9 Bag 3 13 14 15 8 Bag 4 15 15 10 10 Bag 5 11 17 13 9 Bag 6 11 14 14 11 Part B) Determine whether the proportions of candy are equal by solving for the p-value of the appropriate test. Save your answer as p2.b. Round your answer to three decimal places. # your code here p2.b = NA Part E) After some thinking, Ralphie has changed her mind and believes that the candies actually follow the below proportions: PA = 0.25 PB = 0.35 Pc = 0.25 PD = 0.25 At a significance level of a = 0.05, determine if your observed samples agree with Ralphie's newly proposed proportions. Save the p-value of your calculations as p2.e.pval. Round this answer to three decimal places. Into variable p2.e, save TRUE if your data does agree with the new proportions, or FALSE if it does not. # your code here p2.e = NA p2.e.pval = NA

For the following exercises, find the lengths of the functions of y over the given interval. If you cannot evaluate the integral exactly, use technology to approximate it. 181. y = 5 - 3x from y = 0 to y = 4 – 4

C. Which of the following organisms are most closely related? Are any two the same species? On what did you base your answer? 2.0 A B D C Rod Rod Coccus Rod + + Fermentative Oxidative Fermentative Fermentative Characteristics Morphology Gram Reaction Glucose utilization Cytochrome oxidase GC moles % Present Present Absent Absent 48-52 23-40 50-54 49-53

For this week's discussion, you are asked to generate a continuous and differentiable function f (2) with the following properties: • f(x) is decreasing at x = -6 • f(x) has a local minimum at x = -3 • f (x) has a local maximum at x = 3 Hints: • Use calculus! • Before specifying a function f (2), first determine requirements for its derivative f' (2). For example, one of the requirements is that f' (-3) = 0. • If you want to find a function g(x) such that g(-9) = 0 and g(8) = 0, then you could try g(x) = (x + 9) (x – 8). • If you have a possible function for f' (2), then use the techniques in Indefinite Integrals this Module to try a possible f (x). You can generate a plot of your function by clicking the plotting option (the page option with a "P" next to your function input). You may want to do this before clicking "How Did I Do?". Notice that the label "f(2) =" is already provided for you. Once you are ready to check your function, click "How Did I Do?" below (unlimited attempts). Please note that the bounds on the x-axis go from -6 to 6. f(x) = How Did I Do? Try Another

. Explain which types of market inefficiencies derive from monopolies. Use examples from the textbook to support your claims. • Describe the types of inefficiencies that derive from monopolistic competition. Use examples from the textbook to support your claims. How are monopolies and monopolistic competitive firms profitable? Use examples from the textbook . Explain which types of market inefficiencies derive from monopolies. Use examples from the textbook to support your claims. • Describe the types of inefficiencies that derive from monopolistic competition. Use examples from the textbook to support your claims. How are monopolies and monopolistic competitive firms profitable? Use examples from the textbook to support your analysis.

CLEARLY PLEASE Toluene is produced by hydroforming conversion of n-heptane in a Cr203@-A1203 catalyst medium. The operating conditions of the process are given on the flow chart. The solvent used in the process is recovered. CH3CH2CH2CH2CH2CH2CH2 - CH3CH3 + 4H2 Toluene production efficiency is 15% based on n-heptane fed into the process. The solvent ratio used in the extractor is 10 kg solvent / 1 kg toluene. According to this, a. Calculate how much heat must be added or removed to keep the reactor isothermal at 425 °C. b. What is the temperature of the n-heptane or solvent stream leaving the extractor. (The temperatures of the n- heptane and solvent streams can be considered the same.) но | 425 °C Cooler n-Heptane Superheater 425 °C 18°C 18 °C Catalytic Reactor HO Saturated Toluene vapour n-Heptane . 38c Solvent Heat Heat Extractor Still Exchanger Separator 18 °C 120 °C Solvent Solvent+Toluene