A CI is desired for the true average stray-load loss μ (watts) for a certain type of induction motor when the line current is held at 10 amps for a speed of 1500 rpm. Assume that stray-load loss is normally distributed with σ = 2.0. (Round your answers to two decimal places.)

(a) Compute a 95% CI for μ when n = 25 and x =59.4

(b) Compute a 95% CI for μ when n = 100 and x = 59.4.

(c) Compute a 99% CI for μ when n = 100 and x = 59.4.

(d) Compute an 82% CI for μ when n = 100 and x = 59.4.

(e) How large must n be if the width of the 99% interval for μ is to be 1.0? (Round your answer up to the nearest whole number.)
n =

Colby and Emmy are identical twins except for their vision. The retina is 1.8 cm behind the pupil in the eye. Colby’s prescription is -1.0 diopter, whereas Emmy’s prescription is +0.5 diopter. We use standard convention: we read a book at the distance 25-cm from the eyes and see objects very far from the eyes. Colby and Emmy wear identical frames at the distance 2.0 cm in front of their eyes.

a) Find the range of the power of the lens in Colby’s eyes.

b) Find the range of the power of the lens Emmy’s eyes.

c) Colby accidentally wears Emmy’s glasses. What is the range of object distances that Colby can see clearly?

d) Emmy accidentally wears Colby’s glasses. What is the range of object distances that Emmy can see clearly?

1. A farmer was interested in a relationship between the amount of fertilizer (x) and the number of bushels (y) of soybeans produced. The farmer conducted an experiment and obtained the following data.

1. Draw a scatter plot. Do the sample data appear to indicate a linear relationship between the amount of fertilizer and the number of bushels?

b. Do the data appear to be positively or negatively correlated?

3. Find and graph (on the scatter diagram in part a) the line of the best fit for estimating the bushels per acre given hundreds of pounds of fertilizer.

4. Estimate the number of bushels given 3.5 hundred pounds of fertilizer.

Karen, a 48-year-old divorced pilot, and mother of two (ages 10 and 15). Admission assessment includes a history of diabetes.  Karen informs you that she has been told by the physician that she has a urinary tract infection with Pseudomonas. The doctor orders aminoglycoside therapy as part of her treatment. She is anxious about her problem and to hurry up and get better.

1. For which two serious toxicities will you monitor, what are their symptoms, and how can they be prevented?

2. The physicians adds penicillin to Karen's drug regimen. Explain the reason for this.

3. Karen's "trough" aminoglycoside level is 3.0 mcg/L, and her serum creatinine level is increased from 1.0 to 1.6 within the past two days. Are these results a concern? What should you do? Explain  

Consider the following reaction:
A(g)⇌2B(g)
Find the equilibrium partial pressures of A and B for each of the following different values of Kp . Assume that the initial partial pressure of B in each case is 1.0 atm and that the initial partial pressure of A is 0.0 atm . Make any appropriate simplifying assumptions

Part A Kp= 2.0

Enter your answers numerically separated by a comma. Express your answer using two significant figures

Part B

Kp= 1.8×10⁻⁴

Enter your answers numerically separated by a comma. Express your answer using two significant figures.

Part C

Kp= 1.6×10⁵

Enter your answers numerically separated by a comma. Express your answer using two significant figures.

John is the manager for the soft drink category at Coke Cola in the MENA region. He believed that the demand of Coke (in cases) is only closely related to its price (in dollars). To develop a better understanding of the relationship between the demand and the price of Coke Cola he collected the following data from a random sample of 9 countries in the MENA region.

1. Draw a scatter diagram of the quantity sold and price
2. Calculate the Persons’ coefficient of correlation, r
3. Describe the relationship the demand of coke and its price
4. Find a regression equation of the demand on the price of Coke.
5. Predict the demand on Coke if the price is 3 dollars

QUESTION 20

1. Assume that investors have recently become more risk averse (less risk tolerant), so the market risk premium (r _m - r _RF) has increased. Also, assume that the risk-free rate and expected inflation have not changed. Which of the following is most likely to occur?

   	1.	The required rate of return on a riskless bond will decline.
   	2.	The required rate of return for an average stock (beta =1) will increase by an amount equal to the increase in the market risk premium.
   	3.	The required rate of return will decline for stocks whose betas are less than 1.0.
   	4.	The required rate of return on the market, rM, will not change as a result of these changes.
   	5.	The required rate of return for each individual stock in the market will increase by an amount equal to the increase in the market risk premium.

Lactic acid is a by-product when glucose is burned anaerobically (without using oxygen) which is utilized by mammalian muscles under exertion. In solution, lactic acid can produce H3O+. The reaction can be written as either: lactic acid(aq) + H2O(l) <---> lactate(aq) + H3O+(aq) or C3H6O3(aq) +H2O(l) <---> C3H5O3-(aq) + H3O+(aq) The equilibrium constant for this reaction at 25oC is 8.3 x 10-4. a) What is ∆Go at 25oC? Is the reaction spontaneous under standard conditions? Explain. b) The biological standard condition has all concentrations at 1 M except for H3O+ which is 1.0 x 10-7 (the value at a pH of 7) and the temperature is 37oC. What is ∆G under these conditions? Would the reaction be spontaneous? Explain.

Using the data in Appendix C in the textbook and given the pressures listed, calculate ΔG for each of the following reactions at 298 K.

Part A) N2(g)+3H2(g)→2NH3(g)

Part B) N2(g)+3H2(g)→2NH3(g)
PN2 = 2.5 atm , PH2 = 7.2 atm , PNH3 = 1.7 atm

Part C) 2N2H4(g)+2NO2(g)→3N2(g)+4H2O(g)

Part D) 2N2H4(g)+2NO2(g)→3N2(g)+4H2O(g)
PN2H4=PNO2=1.0×10−2atm, PN2 = 2.0 atm , PH2O = 1 atm

Part E) N2H4(g)→N2(g)+2H2(g)

Part F) N2H4(g)→N2(g)+2H2(g)
PN2H4 = 0.6 atm , PN2 = 7.2 atm , PH2 = 9.1 atm

Write a user-defined MATLAB function that uses classical fourth order Runge-Kutta method to solve a first order ODE problem dydx = f(x, y) in a given interval a ? x ? b with initial condition y(a) = y0 and step size of h. For function name and arguments, use [x,y] = myrk4(f, a, b, h, y0)

Check your function to find the numerical solution for dydx=?1.2y+7e^(?0.3x) in the interval 0 ? x ? 4 with initial condition y(0)=3. Run your program three times for h=1.0, 0.1, 0.01 and plot all results along with analytical solution y=(70/9)*e^(?0.3x)?(43/9)*e^(?1.2x) on the same figure.