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andrea stanley

andrea s.

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A hypothesis of ongoing clinical interest is that vitamin-C prevents the common cold. A study was organized to test this hypothesis using 20 prisoners as participants. In the study, 10 prisoners were randomly allocated to receive vitamin-C capsules and 10 were randomly allocated to receive placebo capsules. The number of colds over a 12-month period for each participant was recorded. Is there evidence that people who take vitamin-C are less likely to catch cold? If so, describe the mean effect of vitamin-C. Data Display Row Placebo 1 2 . . . 10 7 8 … 6 Vitamin C 4 0 … 3 a) indicate which part of the Minitab output (Analysis I or Analysis II) you used to answer the question, and why; b) explain (briefly) how you used the Minitab output to make a decision (α=0.05); c) answer the question.

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1. Recall the ring of function $R = F(\mathbb{R}, \mathbb{R})$. Prove that the subset $I = \{f : \mathbb{R} \to \mathbb{R}|f(0) = 0\}$ is an ideal of R. Consider the quotient ring R/I. For the following functions f and g, determine (with proof) whether $[f] = [g]$ in the quotient ring R/I. (a) $f = e^x$ and $g = \sin(x)$ (b) $f = x^2 + 1233442x - 23234$ and $g = 33x^5 - 42x^4 + 47x^2 + 3345$ (c) $f = \frac{1}{x^2+1}$ and $g = \cos(x)$

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5 Would the Sun create a larger or smaller force of gravity than the Moon on an orbiting spacecraft? Explain your answer. 6 Mars has a gravitational field strength about \( 40 \% \) of the value on Earth. a) If you measured your mass on Mars, would it be less than, the same as, or more than your mass on Earth?

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What is consumer surplus? The gains and losses associated with government intervention. A measurement of how much sellers gain from trading in the market. The monetary difference between what the consumer is willing and able to pay and the price the consumer actually pays

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Problem 2: [4 points] Consider system: \( \dot{x} = \begin{bmatrix} 0 & 1 \ -2 & -3 \end{bmatrix} x + \begin{bmatrix} 0 \ 1 \end{bmatrix} u,\) \( y = \begin{bmatrix} 3 & 1 \end{bmatrix} x.\) (a) Find the response to the initial condition (i.e., \( u(t) = 0 \) for all \( t \ge 0 \)): \( x_0 = \begin{bmatrix} 1 \ -1 \end{bmatrix} \) (b) Find the impulse response and then compare it to the response to the initial condition: \( x_0 = \begin{bmatrix} 0 \ 1 \end{bmatrix} \)

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7. Solve the initial value problems $y' = -\frac{y}{x+2} + \frac{\cos x}{x+2}$, y(0) = 1 Hint. $y = \frac{\sin x}{x+2}$

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under what circumstance is the Biological Species Concert not useful? Whare are some alternatives?

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Part B: In Microsoft Access, create and populate the following three database tables, including foreign keys, using SQL. Save all queries in the database. Assume the ID for each table is the primary key. Assume all fields are required. Assume all fields that contain only numbers are numeric type. Save the database as Personnel.accdb. Once the tables have been created, encrypt the database with a password. Be sure the password is strong. It should be at least 16 characters in length and contain at least one of each of the following: uppercase letters, lowercase letters, numbers, and special characters. Submit the Personnel.accdb file. Submit the password in the comments section of the assignment submission area. Employees EmployeeID 101 102 103 104 105 EmployeeLastName EmployeeFirstName EmployeeDeptID EmployeeMgrID Ward Debbie 202 1 Ables Joe 203 3 Simmons Brenda 201 4 Turner Lou 202 5 Conwell Phil 205 2 Managers ManagerID 1 2 3 4 5 ManagerLastName Bunn Norman Kritz Washington Muller ManagerDeptID 202 205 203 201 202 Departments DepartmentID 201 202 203 204 205 DepartmentName DepartmentLocation Accounting Suite 315 CustomerService Suite 303 IT Floor 2 Marketing Suite 322 Human Resources Suite 301

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1. Create a Loan Amortization Table using Excel and formulas 2. The Loan Amortization Table should be for a loan of 10 years 3. Calculate the Payment and Total Interest Paid for the following scenarios: Loan Amount $ 16,000 Interest Rate $ 23,400 $ 56,000 7% 6% 3%

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Suppose the production function takes the following form: \frac{Y}{N} = f\left(\frac{K}{N}, \frac{H}{N}\right), where $\frac{Y}{N}$ is output per worker, $\frac{K}{N}$ is physical capital per worker, and $\frac{H}{N}$ is human capital per worker. Which of the following is true regarding the production function above? A. Given human capital, increases in physical capital will run into decreasing returns. B. Both physical capital per worker and human capital per worker have a positive impact on output per worker. C. Given physical capital, increases in human capital will run into decreasing returns. D. All of the above are true. Would you expect investment aimed at increasing education to have a larger impact in a developing nation or in a rich nation? A. Rich nation, since the workforce is already more skilled, additional education will have a larger impact on overall productivity compared to what its impact would be on low-skill workers. B. Developing nation, since it is starting at a lower level of education and not subject to the same level of decreasing returns as a rich nation. C. We would expect the same outcome in each nation since human capital enters the production function the same way for both countries.

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