A pharmaceutical company wants to examine whether the type of packaging of a certain drug affects consumer preferences. The ANOVA table has these entries: Packaging: DF = 4, SS = 925, MS = ?, F_0 = ?, P-value = ?. Error: DF = 25, SS = ?, MS = ?. Total: DF = ?, SS = 1110.00. (a) Fill in the blanks, giving the form of F_0 and the p-value. (b) What is the estimate of the MSE? Describe how it was obtained and what the assumption was. (c) What kind of distribution does F_0 have? (d) Describe how F_0 was obtained in terms of extra sums of squares. (e) How many factors and levels does this experiment involve?
Consider the vector space V = Sym_2(R) of 2 x 2 symmetric real matrices, with the bases B = {B_1, B_2, B_3} and C = {C_1, C_2, C_3}, where B_1 = [[1, 1], [1, 0]], B_2 = [[-1, 0], [0, 1]], B_3 = [[0, -1], [-1, 1]], and C_1 = [[0, 1], [1, 0]], C_2 = [[1, 0], [0, 1]], C_3 = [[0, 0], [0, 1]]. Find the change-of-basis matrix P_{C <- B} and use it to compute the coordinate vector [v]_C, where v = [[-1, -2], [-2, 3]].
Let A be a 7 x 7 diagonalizable matrix with three distinct eigenvalues lambda_1, lambda_2, and lambda_3. Suppose the dimensions of the eigenspaces E_1 and E_2 associated to lambda_1 and lambda_2 are 2 and 3 respectively. What must the dimension of E_3, the eigenspace associated to lambda_3, be? Explain.
Evaluate the line integral of the vector field with components P(x, y) = sqrt(x^2 + y^2) (along dx) and Q(x, y) = y(xy + log(x + sqrt(x^2 + y^2))) (along dy), over the oriented curve C in R^2 that goes from (pi, 0) to (2 pi, 0) along a straight line, and then goes from (2 pi, 0) to (pi, 0) along the curve y = sin(x).
Consider a dynamic array data structure consisting of an array with initial size 1, together with a variable "size" denoting the number of slots that currently contain data. Insert() and Delete() are supported. Insert() inserts an element into the first empty slot in the array, while Delete() deletes the element in the last occupied slot. To make the structure adaptable in size, Expansion() and Shrink() are triggered by Insert() and Delete() respectively. If after Insert() the array is full, a new array with double the size is created and the contents of the old array are copied to the new array one by one. If after Delete() less than 1/4 of the slots are occupied, a new array with half the size is created and the contents are copied over (no shrinking is done if the array has size 2). (a) What is the worst-case running time of Insert() if the array size is n? (b) What is the amortized running time of a sequence of n Insert() and Delete() operations? (c) Give a proof of the amortized running time in part (b).
Select three of the following problems that can cause a reduction in work outputs, and explain the strategies or systems you would put in place to improve performance, improve productivity, and reduce lost time. The problems are: equipment breakdowns and technical failures; poor rostering procedures; inexperienced staff; failure to achieve tasks within nominated or suitable time frames; and poor quality of service resulting in an increase in customer complaints. Present your assignment in a clear and professional manner suitable for use in a business.
How do societal labels or expectations affect women's ability to negotiate higher pay, whether in the entertainment industry or other occupational sectors? Answer in detail.
Write a 2,000-word essay on the following topic: "When organisations recruit young Gen Z employees they should pay attention to how they manage them, giving them as much autonomy as possible and not managing them too closely (i.e., micro-management). This will allow Gen Z employees to feel more freedom and become better engaged in the work and culture of the organization, and help the organization to perform better." To what extent do you agree or disagree with this statement? Start by introducing Generation Z and describing their values and attitudes. Next, explain what is truly important for the engagement and performance of Gen Z employees. How should organizations manage these employees? Be critical of the statement and support your judgement with relevant theories and knowledge, using at least one major theory of motivation and at least one major theory of leadership. You can also illustrate your argument with examples from organizations and their HR practices. End with a brief conclusion that summarizes your answer. Present a reasonable argument using relevant literature, give a critical analysis supported by reliable evidence, follow general guidelines for academic essays, and keep your argument logically coherent throughout.
Throughout this course we have argued that Bollywood represents India's anxieties and represents what being a citizen of India entails. Use any one character from Peepli Live and any one character from Mr. and Mrs. Iyer or Sooryavanshi to argue that Bollywood does not represent and give voice to some types of citizens (think of citizens who are from lower castes, Muslim, women, or citizens from lower-income groups). You should reference at least two course readings in your answer.
After watching Manchester by the Sea and Krisha and reading chapters 6 and 7 of Quit Like a Woman and the article "The Story Behind Krisha," write 500-550 words (about one and a half pages) on these questions. How is the addiction portrayed in Krisha and Manchester by the Sea different from the alcohol addiction we saw in other films this semester? How are Lee's and Krisha's "inner demons" visualized in the films? What is the effect of Lee's and Krisha's addiction on other characters in the films? In Chapter 7 of Quit Like a Woman, Holly writes, "I'd seen enough portrayals of addiction on TV, and knew about enough people's relatives, to understand that life without alcohol is a life of deprivation..." Later, she writes of her own experience, "...quitting is the catalyst to heal deeper wounds." What are the deeper wounds we see in Lee and Krisha? Do Lee or Krisha remind you of a person you know or have met in your life?
