Some chronic conditions involve severe flare-ups (“active” stage) between healthy periods (“inactive” stage). The active stage often necessitates immediate medical treatment. Researchers looked for biomarkers that might help identify these active stages. Here are data on the relative abundance of the protein BPG0235 in two simple random samples of men with the same chronic condition, 7 in the active phase and 9 in the inactive phase:

Active Inactive
1.0      1.1
1.0      0.9
1.0      0.5
1.2      0.9
1.2      1.0
1.3      1.0
1.0      0.8
           0.7
           1.1

We want to know if there is a significant difference in the mean abundance of the protein BPG0235 between men in the active stage and men in the inactive phase. What is the test statistic of the appropriate hypothesis test? Assume any necessary assumptions are reasonable.

SHOW ALL WORK EVEN HOW TO CALCULATE STANDARD DEVIATION

1. three-phase induction motor rated 250 hp, 0.7 pf and 80% efficiency. Determine the minimum size in kVAR of a capacitor needed to prevent overloading the transformers.Two single-phase transformers each rated 150 kVA are connected open delta supplying a

2. A 2.2 kV, 200 hp, delta- connected, 3 phase synchronous motor is operating on full load at an efficiency of 0.88 and pf of 0.8 leading. The armature has a reactance per phase of 5 ohms and negligible resistance. Solve the induced emf per phase.

3.The result of the no load test on a three phase wye connected induction motor are as follows: line to line voltage = 400 V; Input power = 1770 W; Input current = 18.5 A; friction and windage loss = 600 W. determine the magnetizing reactance per phase.

A refinery in Southern Louisiana is in the business of producing regular and premium
unleaded gasoline. Based on its experience, light and heavy crude oil have to be combined in
the ratio of 1 to 2 and 3 to 2, respectively, for regular and premium gas. Market price of light
crude is $0.3/gallon and $0.2/gallon for heavy crude oil. The objective is to minimize the
total production cost of regular and premium gasoline. Management wants to satisfy the
market demand of 6 million gallons of regular and 10 million gallons of premium gasoline per
period. Formulate the problem as a linear program and obtain the optimal solution using the
Solver Program in Excel. Hint: Define the decision variables as XLR = millions of gallons of
light crude going into regular gas, etc

I am provided with the following stock solutions: 1M Tris, pH 8, 5 M NaCl, 1M MgCl₂, lysozyme, and DNase. Prepare a 25 mL solution of complete lysis buffer using the following recipe:

- 50 mM Tris (pH 8)

- 150 mM NaCl

- 2 mM MgCl₂

- 0.5 mg/mL lysozyme

- 0.04 uL/mL DNase

In order to perform ion-exchange chromatography, I also need to prepare elution buffers. Using the stock solutions listed above, I need to calculate how to make 10 mL of each of 50 mM Tris pH 8 with 0.1, 0.2, 0.3, and 0.4 M NaCl.

Thanks for the help, I appreciate it!

Q5. Report the slope and uncertainty in the slope of the linear fit on your graph, include the correct units. Q6. Use your reported slope from the graph to calculate the spring constant k, and include the correct units. Show all work. Q7. Using propagation of uncertainties, it can be shown that the uncertainty in the spring constant k may be calculated using Using your graph for the uncertainty in the slope, along with your answer to Q6, calculate the uncertainty in the spring constant. Show all work.

m=2.14 +- 0.46, b=-0.0074+-0.0097, r=0.937. The graph wouldn't upload.

Suppose there is a random sample of 200 observations, divided into three groups. The table below summarizes the count of observations that were seen in each group.

We are interested in testing the null hypothesis H0:p1=0.5,p2=0.2,p3=0.3, against the alternative hypothesis HA:Atleastoneproportionisincorrect.

a) What is the value of the test statistic?

Round your response to at least 2 decimal places.

b) What conclusion can be made at the 5% level of significance?

Suppose that

The Elasticity of Imports in the USA in the short Run is 0.5

The Elasticity of Imports in Japan in the short Run is -0.3

The Elasticity of Imports in the USA in the long Run is 1.2

According to the Elasticities approach to the Current Account Balance, if the Exchange Rate goes from Yen=$1/100 to Yen=$1/50 ...

Expected return and standard deviation. Use the following information to answer the​ questions:

a.  What is the expected return of each​ asset?

b.  What is the variance and the standard deviation of each​ asset?

c.  What is the expected return of a portfolio with 8​% in asset​ J, 46​% in asset​ K, and 46​% in asset​ L?

d.  What is the​ portfolio's variance and standard deviation using the same asset weights from part ​(c​)?

The Neal company wants to estimate next year's (ROE) under different financial leverage ratios. Neal's total capital is $14million, it currently uses only common equity, it has no future plans to use preferred stock in its capital structure and its federal-plus-state tax rate is 40%. The CFO has estimated next years EBIT for three possible states of the world: $4.2 million with a 0.2 probability, $2.8 million with a 0.5 probability, and $700,000 with a 0.3 probability . Calculate Neal's expected ROE, standard deviation, and coefficient of variation for each of the following debt-to-capital ratios; then evaluate the results:

Debt/capital ratio- interest rate

0%- ----------
10- 9%
50- 11
60- 14