3. Three different treatments for hypertension (high blood pressure) are being tested. A medical researcher takes volunteers and randomly assigns them into groups taking treatment A, B, and C. The reduction in blood pressure is measured for each patient with the following results:

> d patient treatment reduction 1 1 A 7.0 2 2 A 7.9 3 3 A 5.0 4 4 A 8.3 5 5 A 3.3 6 6 A 2.8 4 7 7 A 3.9 8 8 A 5.8 9 9 A 2.2 10 10 A 5.1 11 11 B 0.4 12 12 B -1.4 13 13 B -0.8 14 14 B 5.3 15 15 B 1.3 16 16 B 5.9 17 17 B 0.7 18 18 B 5.5 19 19 B 2.3 20 20 C 5.5 21 21 C 5.2 22 22 C 2.2 23 23 C -1.4 24 24 C 3.2 25 25 C 3.0

In R: > dput(d$treatment)

c("A", "A", "A", "A", "A", "A", "A", "A", "A", "A", "B", "B", "B", "B", "B", "B", "B", "B", "B", "C", "C", "C", "C", "C", "C" )

> dput(d$reduction)

c(7, 7.9, 5, 8.3, 3.3, 2.8, 3.9, 5.8, 2.2, 5.1, 0.4, -1.4, -0.8, 5.3, 1.3, 5.9, 0.7, 5.5, 2.3, 5.5, 5.2, 2.2, -1.4, 3.2, 3) Is there evidence that blood pressure reduction differs between the treatment groups?\

(a) State a sensible null hypothesis

(b) State the precise definition of p-value and explain what “more extreme” means in this context

(c) Perform an ANOVA using lm() and interpret

Daryl is a 32?year?old man who presents with a 6?month history of shortness of breath even during activities that require only minor exertion. He has noticed increasing limitation in his exercise capacity and denies wheezing, cough, or phlegm production. He has smoked for 15 years and continues to smoke. Daryl's father has been told he has early compensated cirrhosis but has never drank alcohol; his mother is in good health. Daryl’s serum protein electrophoretic results are shown below:     Adult reference Values        Patient Results Albumin 3.5?5.0   3.6 ?1 ? Globulins 0.1?0.4   0.0 ?2 ? Globulins 0.6?1.0   0.7 ? ? Globulins 0.7?1.1   0.8 ? – Globulins 0.8?1.6   1.0 Total Protein 6.0?8.0   6.1 Patient’s Electrophoretic Pattern                                    18US MLSC 4051: Clinical Chemistry 4 1. What protein fraction(s) is/are abnormal in the patient’s serum? (0.5 pt) 2. An abnormality in this/these fraction(s) is/are most often associated with changes in what protein? (1 pt) 3.   What is the function of this protein? (1 pt) 4.   Could this protein abnormality be related to both the patient’s symptoms and his father’s cirrhosis? Explain your answer. (1 pt) 5. What other test(s) may be done to confirm this abnormality? (1 pt) 6.   What charge is on the plasma proteins when they are dissolved in the typical pH 8.6 electrophoretic buffer? Explain (1 pt)    7.   Are there conditions that will cause an increase in this protein in the serum? If so, state at least one such condition and list at least three other specific proteins that would be abnormal in addition to this protein. (2.5 pts) 8.   Calculate the Total Globulin levels and the A/G ratio for this patient (1 pt)

Better Mousetraps has developed a new trap. It can go into production for an initial investment in equipment of $6.3 million. The equipment will be depreciated straight-line over 6 years, but, in fact, it can be sold after 6 years for $519,000. The firm believes that working capital at each date must be maintained at a level of 10% of next year’s forecast sales. The firm estimates production costs equal to $1.20 per trap and believes that the traps can be sold for $5 each. Sales forecasts are given in the following table. The project will come to an end in 6 years, when the trap becomes technologically obsolete. The firm’s tax bracket is 40%, and the required rate of return on the project is 10%.

Suppose the firm can cut its requirements for working capital in half by using better inventory control systems. By how much will this increase project NPV? (Do not round your intermediate calculations. Enter your answer in millions rounded to 4 decimal places.)

A circle with a radius of 0.3 meters is placed in the x-y plane in a magnetic field directed in the -z direction. It is wound once and its resistance is 8 Ohms. The initial magnetic field is 0.5 Tesla. The magnetic field is then changed in 0.7 s and the average induced current is 0.05 amps running counter-clockwise. First, find the final magnetic field to needed to induce this average current.

Then, the magnetic field (still in the -z direction) is held constant at the value of the final magnetic field that was just found. Then, the wire is reshaped into a square that is wound once in a time of 0.003 seconds. If the resistance does not change, what is the average induced current, in amps, when the wire changes shape? If it's clockwise include a negative sign.

1) A circle with a radius of 0.3 meters is placed in the x-y plane in a magnetic field directed in the -z direction. It is wound once and its resistance is 7 Ohms. The initial magnetic field is 0.6 Tesla. The magnetic field is then changed in 0.7 s and the average induced current is 0.05 amps running counter-clockwise. First, find the final magnetic field to needed to induce this average current.

Then, the magnetic field (still in the -z direction) is held constant at the value of the final magnetic field that was just found. Then, the wire is reshaped into a square that is wound once in a time of 0.006 seconds. If the resistance does not change, what is the average induced current, in amps, when the wire changes shape? If it's clockwise include a negative sign.

An insurance portfolio consists of two homogeneous groups of clients; N i, (i = 1 , 2) denotes the number of claims occurred in the ith group in a fixed time period. Assume that the r.v.'s N 1, N 2 are independent and have Poisson distributions, with expected values 200 and 300, respectively.

The amount of an individual claim in the first group is a r.v. equal to either 10 or 20 with respective probabilities 0.3 and 0.7, while the amount of an individual claim in the second group equals 20 or 30 with respective probabilities 0.1 and 0.9.

Let N be the total number of claims, and let S be the total aggregate claim.

is a compound Poisson r.v. that can be written as S = ∑ i = 1 N Y i.

T or F

Drew works at Baseball Inc., a seller of high-quality baseballs. He is interested in forecasting demand for his baseballs that are sold weekly to University of Miami using exponential smoothing.

Assume an initial forecast of 175 and the demand data below:

You want to use simple exponential smoothing. In case 1 you take alpha = 0.7 and in case 2 you take alpha = 0.3. Which of the following has an acceptable tracking signal, i.e., model does not need to be re-evaluated?

Answer Options:

1. Case 1
2. Case 2
3. Both Case 1 and Case 2
4. Neither Case 1 and Case 2

I'm stuck on this homework and don't know where to start!

A student is trying to determine the rate law for a reaction involving 2 reactants, A, B and C using the Method of Initial Rates. The following initial rate data were obtained at 25 degrees C. (Note: the overall stoichiometry of the reaction is: A + B + 2C -> 3 D)

Experiment______Initial [A]______Initial [B]______Initial [C]_______Initial Rate of Reaction

1______________ 0.1 M_________ 0.1 M_________ 0.2 M _________4x10^-4 M/min

2_______________ 0.3 M ________0.2 M _________0.2 M __________1.2x10^-3 M/min

3 ______________0.1 M_________ 0.3 M _________0.2 M ___________4x10^-4 M/min

4______________ 0.3 M_________ 0,4 M _________0.6 M __________3.6x106-3 M/min

a) Write the rate law expression for the reaction

b) What is a plausible rate-determining step in the mechanism of this reaction?

c) What is the numerical value of k, the rate constant for this reaction?

d) In Experiment 1, what would the rate of the reaction be when exactly 1/2 of the A present initially has been consumed?

e) In Experiment 2, what is the maximum concentration obtainable for D? (Assume that the volume remains constant)

f) In Experiment 4, when the reaction has proceeded to completion, which reactant or reactants if any, and in what concentration, remain unconsumed?