Activity 2

Record your data from Activity 1 in the boxes below. Place the data (turbidity value, appearance) for the samples in the appropriate columns (clean standard,           maximum load, standard, sample 1, sample 2, sample 3)

The following information will be needed to make your conclusion --

In the region of the United States you are investigating, the allowable standards of turbidity are:

Drinking water is 0.3 NTU

Water for irrigation and industrial use 5 NTU

Water released into lakes is 10.0 NTU

Water released into rivers 15.0 NTU

PLEASE ANSWER ALL QUESTIONS THANK YOU!

1. Is the turbidity spectrometer accurate based on the data from the Clean Water and Maximum Load Water Standards?

Explain why or why not?

2. Is the relationship between the appearance of the sample and the NTU value of each sample consistent for all samples?

Explain why or why not.?

3. For each sample, make a recommendation for the best way to release or use the waste water based on the Turbidity Stands Chart.

.

MATLAB question!

4. (a) Modify the code, to compute and plot the quantity E = 1/2mv^2 + 1/2ky^2 as a function of time. What do you observe? Is the energy conserved in this case?

(b) Show analytically that dE/dt < 0 for c > 0 while dE/dt > 0 for c < 0.

(c) Modify the code to plot v vs y (phase plot). Comment on the behavior of the curve in the context of the motion of the spring. Does the graph ever get close to the origin? Why or why not?

given code
---------------------------------------------------------------

clear all;   
m = 4; % mass [kg]
k = 9; % spring constant [N/m]
c = 4; % friction coefficient [Ns/m]
omega0 = sqrt(k/m); p = c/(2*m);
y0 =-0.8; v0 = 0.3; % initial conditions
[t,Y] = ode45(@f,[0,15],[y0,v0],[],omega0, p); % solve for 0<t<15
y = Y(:,1); v = Y(:,2); % retrieve y, v from Y
figure(1); plot(t,y,'ro-',t,v,'b+-');% time series for y and v
grid on; axis tight;
%---------------------------------------------------
function dYdt = f(t,Y,omega0,p); % function defining the DE
y = Y(1); v = Y(2);
dYdt=[ v ; -omega0^2*y-2*p*v]; % fill-in dv/dt
end

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1. What is the chemical composition of the core of a one solar mass star during the red super giant (asymptotic giant) phase? a) mainly carbon and oxygen b) mainly helium c) mainly hydrogen 2. What kind of stellar remnant will be left when the sun dies? a) red giant b) black hole c) white dwarf d) neutron star Which of the following Is not true of the cosmic background radiation? a) it is nearly equally bright in all directions b) it is starlight c) It was produced about a million years after the beginning of the expansion d) It is brightest in the radio (microwave) part of the spectrum 2. Which spatial geometry implies a finite universe a) closed b) flat c) open 3. A photon leaving a region of extremely strong gravity a) will be unaffected b) will lose energy and thus slow down c) will lose energy and thus be redshifted d) will gain energy and thus be blueshifted 4. As a degenerate gas is heated it will a) expand substantially b) contract substantially c) neither expand nor contract substantially d) alternate between expansion and contraction 5.How far away from sun, in light years in the closest star? a) 4.3 light years b) 1.4 light years c) 0.3 light years d) 6.2 light years

1. When we work with probabilities, we always use the decimal form. What's the decimal version of 15%? (Put a zero before the decimal point.)

2. What about the decimal version of 0.3%? (Put a zero before the decimal point.)

3. Suppose you roll a six-sided die and flip two coins. What is the chance that the die will come up as a 5 or a 6 and you'll get two tails?

Express your answer as a value between 0 and 1, rounded to two decimal places.

4.Suppose you roll a six-sided die and flip three coins. What is the chance that the die will come up as an even number and you'll get at least one heads?

Express your answer as a value between 0 and 1, rounded to two decimal places.

5. Jerry and George are writing a pilot for a sitcom. They estimate they have a 90% chance of the show not being picked up as a series. If that happens, their combined profit is -$40,000 as they've invested a great deal of time and energy and received nothing for it. If the show is picked up, the profit the pair would earn depends on the success of the show, as indicated in the table below. Calculate Jerry and George's expected profit, in thousands of dollars. Do not include a dollar sign ($) in your answer.

Problem 14-1 (All answers were generated using 1,000 trials and native Excel functionality.) The management of Brinkley Corporation is interested in using simulation to estimate the profit per unit for a new product. The selling price for the product will be $45 per unit. Probability distributions for the purchase cost, the labor cost, and the transportation cost are estimated as follows:

(a) Compute profit per unit for base-case, worst-case, and best-case.

Profit per unit for base-case:$

Profit per unit for worst-case: $

   Profit per unit for best-case: $

(b) Construct a simulation model to estimate the mean profit per unit. If required, round your answer to the nearest cent.

   Mean profit per unit = $

(c) Why is the simulation approach to risk analysis preferable to generating a variety of what-if scenarios?

(d) Management believes that the project may not be sustainable if the profit per unit is less than $5. Use simulation to estimate the probability the profit per unit will be less than $5. If required, round your answer to a one decimal digit percentage. %

1. In the following regression, “drink” is a dummy indicating a person drinks alcohol, “smoke” is a dummy indicating a person smokes cigarettes, and “drink*smoke” is the interaction of the two variables:

Medical Bill=1+2 drink+3 smoke+4 drink*smoke+other

a) How much is the difference in medical bill between a person who both drinks and smokes and a person who doesn’t drink but smokes? (10pts)

b) Will you be able to test if this difference is statistically significant if you are given all the standard errors? Say “yes” or ‘no”, then explain. (10pts)

2. In the following regression, “drive” is a dummy indicating a person owns a personal vehicle, “employed” is a dummy indicating a person is employed, “age” is a person’s age, and “married” is a dummy indicating a person is married:

drive=0.3+0.2 employed+0.003 age+0.4 married

The command in STATA is: reg drive employed age married

a) Interpret the coefficient 0.2 on employed. (10pts)

b) Predict the probability of owning a vehicle for a person who is employed, 60 years of age and married. (10pts)

c) The answer you got from the previous question is actually greater than 1. Explain why that is. (10pts)

d) Will you be able to test the significance of the coefficients if you were given all the standard errors and/or p-values? Say “yes” or ‘no”, then explain. (10pts)

3. Elaborate, in your own words, the difference between conducting the standard White test and the special case of the White test. (5pts)

60 % of the chips used by a computer manufacturing company (CMC) are provided by supplier A and the rest by supplier B. The two suppliers have the following faulty chip rates: 0.3% for supplier A and 0.8% for supplier B. Consider a random batch of 20 chips (chips cannot be distinguished by supplier). a. Show that the expected number of faulty chips is 0.1. [15 marks] b. What is the probability of having two or more faulty chips? Justify your answer and the choice of the probability distribution. [15 marks] If the daily production of computer is 1000, and each computer has one chip: c. What is the probability that 8 or more computers do not pass the final quality check due to faulty chips? Justify your approach. [20 marks] The company, CMC, has to decide whether to implement a quality control screening of chips when delivered by the suppliers. In this case, only the chips that pass the screening will be used in the production process. Previous experience of quality control screenings reported that in 95% of the cases it was able to correctly identify faulty chips and in 3% of the cases was giving false negatives (meaning that even though the chip was working correctly the screening identified it as faulty). The screening process will be convenient only if the average number of daily faulty computers will be smaller than 3. d. Should the company implement the quality control screening? [20 marks]

60 % of the chips used by a computer manufacturing company (CMC) are provided by supplier A and the rest by supplier B. The two suppliers have the following faulty chip rates: 0.3% for supplier A and 0.8% for supplier B. Consider a random batch of 20 chips (chips cannot be distinguished by supplier). a. Show that the expected number of faulty chips is 0.1. [15 marks] b. What is the probability of having two or more faulty chips? Justify your answer and the choice of the probability distribution. [15 marks] If the daily production of computer is 1000, and each computer has one chip: c. What is the probability that 8 or more computers do not pass the final quality check due to faulty chips? Justify your approach. [20 marks] The company, CMC, has to decide whether to implement a quality control screening of chips when delivered by the suppliers. In this case, only the chips that pass the screening will be used in the production process. Previous experience of quality control screenings reported that in 95% of the cases it was able to correctly identify faulty chips and in 3% of the cases was giving false negatives (meaning that even though the chip was working correctly the screening identified it as faulty). The screening process will be convenient only if the average number of daily faulty computers will be smaller than 3. d. Should the company implement the quality control screening? [20 marks]

It is 2026 and you are back in your home state, where you work as chief advisor to a state legislator. (Taking PSC 107 made you an expert in legislative matters – it turns out that policymaking is very similar to elections with policy-motivated candidates.) All legislators are policy motivated. This means that an arbitrary legislator i, with ideal point xi, gets utility ?|x?xi| if policy x is approved. Your boss, a moderate legislator with ideal point xB = 0.3, asks for your advice before introducing a bill to replace the status quo policy q = 0.75. If she introduces the bill, it will be sent to a committee, where the members of the committee will vote to decide whether or not the bill is sent to the floor of the state House. For simplicity, we assume that if a bill is sent to the floor it is automatically approved and becomes the new policy.

Currently, the committee is controlled by your boss’ party. The median member of the committee has ideal point xM = 0.6. What is the winset of the status quo q? In other words, what policies is the median committee member willing to approve in order to replace the status quo policy q? (Assume the median approves any policy that gives her at least the same utility as the status quo policy q). (3 points)

(b) What policy should your boss propose? (2 points)

Port Inc. is preparing its annual budgets for the year ending December 31, 2018. Accounting assistants furnish the data shown below.

An accounting assistant has prepared the detailed manufacturing overhead budget and the selling and administrative expense budget. The latter shows selling, general and administrative expenses: variable 5% of sales, fixed $100,000 for product A and B.

Required: (support your answers with an explanation)

1. Prepare the following budgets for the year. Show data for each product. You do not need to pre- pare quarterly budgets.

1. Sales
2. Production
3. Direct materials
4. Direct labor
5. Income statement

2. What are the primary benefits of budgeting?

3. How does a budget add to good organization?