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(3 points) Below is Epothilone, an anticancer drug. Please fill in the blanks (pK$_{A}$, functional group, or hybridization (sp, sp$^{2}$, sp$^{3}$, s, p). pK$_{A}$ functional group hybridization hybridization functional group

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question4 A statistics professor would like to test whether there is any difference in academic perfor- mance between students who are from the faculty of Science and the students from other faculties in his elementary Statistics class. The professor randomly samples 15 students from the faculty of Science and 15 students from other faculties from his class, and has these students write a test. a) State the null and alternative hypotheses. Be sure to define your notation. (1 mark) b) The average exam score for the students from faculty of Science is 80.7, with a sample standard deviation of 9.7, and the average exam score for the students from other faculties is 75.1, with a standard deviation of 7.6. State the test statistic t and its distribution. Be sure to define your notation. Compute the value of the test statistic, given the data gathered. From the past data, professor assumes that grades are distributed normally with equal population variance for the two groups. (3 marks) 2 c) In order to be conservative, the professor sets the significance level at α = 0.01. Using the critical value approach, what is the professor’s conclusion for this test? (2 marks) d) The professor would like to estimate the power of the hypothesis test using a simulation. Suppose that μ1 = 80, μ2 = 75, and the common standard deviation is σ = 8. Using 10,000 samples in R, estimate the power of the test. Comment on the result. (4 marks) Question 4 Jessica works at a Rogers call center. Everyday she goes through a list of potential client phone numbers and calls to offer them a new customer deal. The probability that the possible client answers the call is 47%. a) If she makes a total of 400 calls in the day, what is the approximate probability that more than 185 people answer the call? (4 marks) b) Today, Jessica spoke with 85 potential clients. The time spent on the phone with each potential client was normally distributed with mean time of 7 minutes and a standard deviation of 3 minutes. What is the probability that she spent more than 630 minutes on the phone for the day? (4 m

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How much money can be withdrawn at the end of the investment period if a. $4,000 is invested at the end of each of 3 years at 5 percent/year compounded annually, with the lump sum then shifted into an investment paying 8 percent/year for 5 additional years? b. $12,000 is invested at the end of each of 10 years at 10 percent/year compounded annually, with the lump sum then shifted into an investment paying 5 percent/year for 3 additional years? c. $18,000 is invested at the end of each of 5 years at 9 percent/year compounded annually, with the lump sum then shifted into an investment paying 7 percent/year for 8 additional years?

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Question 2 We say that $f(n)$ is $\Theta(g(n))$ when $f(n)$ is both $o(g(n))$ and $O(g(n))$ there exists a constant $C_1$ such that $|f(n)| \approx C_1|g(n)|$ so all but finitely many positive integers. there exists a constant $C_1$ such that $|f(n)| = C_1|g(n)|$ so all but finitely many positive integers. $f(n)$ is both $O(g(n))$ and $\Omega(g(n))$ 1 pts

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For which reaction will Kp = Kc? Group of answer choices H2CO3(s) H2O(l) + CO2(g) CaCO3(s) CaO(s) + CO2(g) 2 HgO(s) Hg(l) + O2(g) S(s) + O2(g) SO2(g) 2 H2O(l) 2 H2(g) + O2(g)

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6. IR Spectroscopy Spectroscopy is used as a means of analysis and identification of molecules. After using our separation and purification techniques and we've isolated a single, pure compound, how do we know what compound it is? The most useful method involves treating that molecule with energy, such as light (infrared, ultraviolet or visible) or radio waves. By observing how it interacts with that energy, we can learn something about its structure. This is the process of spectroscopy (IR, UV/VIS, NMR, respectively). In Infrared Spectroscopy (IR), a sample is placed in the path of an IR light beam (4000-650 cm-1). Certain frequencies of light will be absorbed by the molecule, causing certain bonds to bend or stretch. By measuring these absorptions and recording them on a spectrum, we can analyze the sample's structure since certain functional groups have characteristic IR. Sample IR Correlation Chart: 3600-3300 (s, broad) O-H stretch (alcohol ROH, phenol PhOH) 3400-2400 (s, very broad) O-H stretch (carboxylic acid, RCO₂H) 3500-3300 (m) N-H stretch 3300 (s) sp C-H stretch (alkyne -C-H) 3080-3020 (m) (just above 3000) sp² C-H stretch (alkene or aromatic -C-H) 2960-2850 (s) (just below 3000) sp³ C-H stretch (alkane) 2900 and 2700 (w) aldehyde C-H stretch (O-C-H) 2260-2100 (w) C=C stretch (alkyne) 2260-2220 (w) CN stretch (nitrile) 1680-1620 (v) C-C stretch (alkene or aromatic) 1750-1650 (s) C-O stretch 1300-1000 (s) C-O stretch (ether, ester) (s)= strong signal (m) = moderate (w) = weak (v) = variable intensity

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$ \mathcal{L} \left\{ 5 + u_1(t)e^{-t} \sin(\pi t) \right\} = $

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Among agricultural societies in the Americas, animal husbandry took the form ofGroup of answer choices herding bison domestication of animals game management aviaries to produce eggs and breed birds of prey

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The two types of receptors in the eye are Obipolar cells, fovea O rods, cones photo pigments, receptive fields none of these

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Part 3 of 4 54. Li atoms g Li Part 4 of 4 54. Sr atoms Sr

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lisa h.