A sewage treatment plant located along a river reported a chemical spill which may have released mercury into the river. The local environmental regulatory agency requires that such spills be monitored, and any spill that results in a long term mercury level above 2.5 µg/L (micrograms per litre) requires the party at fault to pay a large fee. A random sample of 58 measurements showed a mercury reading near the treatment plant to have a sample mean of 2.7 µg/L with a sample standard deviation of 0.89 µg/L. To decide if they should pay the fee, the treatment plant performs a hypothesis test.

(a) [2 marks] Define the parameter of interest using the correct notation. Then, state the null and alternative hypotheses for this study.

(b) [1 mark] Calculate the observed value of the test statistic. State the distribution (and degrees of freedom if needed) it follows.

(c) [1 mark] Compute the p-value or provide a range of appropriate values for the p-value.

(e) [1 mark] Using the significance level α = 0.025, state your conclusions about if the treatment plant will pay the fee.

(f) [1 mark] Using the specifics of this question (but not necessarily your conclusion from part (d)), describe what would happen if a Type I error is made.

(d) [1 mark] Using your p-value, state the strengh of evidence against H0.

1. How does the brightness of the refracted ray change when the incident angle (from glass to air) changes from less than critical angle to greater than critical angle?

a. brighter

b. dimmer

c. unchanged

d. dimmer and then disappear

2. Trying to picture an electroscope you made in the lab, on rubbing an rubber rod with fur, the electrons from the fur get transferred to the rubber rod. While holding the rubber rod near the electroscope (not touching the top paper clip), the foil leaves separate. At the same time, someone rubs a Styrofoam cup on a piece of cloth and also brings it to the electroscope, the leaves close a bit. What is the type of charge the Styrofoam cup carrying?

A. positive

b. negative

c. cannot decide

3. What would be the correct description of how an image in a plane mirror compares to the original object?

4. If the distance between the object and the screen is 1meter, a thin lens is put in between and moving, when the lens is 30 cm away from the object, a clear image is formed on the screen. How much is the focal length of this thin lens?

a. 0.048 m

b. 21 cm

c. 0.019 m

d. 52.5

You are planning to buy a residential property of Rs. 5 crores at a desired location. The property is always the one you wanted to have as a new home. Before you start a deal with the broker and the bank, you would like to analyse the current financial position. As you have other obligations to meet, with the current salary you would like to know the loan to be taken and how much can be considered from the personal finances. This process of managing one’s personal finances will help you identify your assets and liabilities and thus a decision whether to buy the residential property or should wait for the near future can be taken. Prepare a financial statement of you as an individual based on your income, expenses, assets and liabilities in a proper format. (Require to provide at least 10 different types of transactions for the purpose of this assignment).

We do not need excel sheet. Answer should be in word format only

a. Identify the transactions that took place in the financial year 2019 – 2020

b. Prepare Profit and Loss Account and Balance Sheet of you as an individual indicating clearly your income, expenses in profit and loss account and assets and liabilities in your balance sheet. (You have been inherited an amount of Rs. 1 crore from your grandfather. Consider this as opening capital for the financial year 2019 – 2020)

An electron is one of the most fundamental particles in nature. It is everywhere, in all the matter we can see, and it is with electrons that light interacts when it is emitted, absorbed, or scattered in everyday matter. The electron has a more massive cousin called a muon, also with a charge of -1 e, but with a mass of 1.88x10-28 kg. The electron's mass is 9.11x10-31 kg. You can see why a muon is called a "heavy" electron. A muon is also unstable, and left alone at rest in a lab it will turn into an electron, kinetic energy, and two neutrinos with a lifetime of 2.20x10-6 s.

1. Suppose we have a vacuum with two metal plates separated by 2 meters. One of the plates has a hole in it so that a charged particle coming from the other one can pass through into empty space. The plate with a hole is attached to a voltage source of 5,000,000 V and electrons and muons are introduced near the other plate at 0 V. What energies and velocities do the electrons and muons have when they pass through the hole?

2. If an electron or a muon encounters a magnetic field that is perpendicular to the line the particle is moving on, is their path changed? If so how does it depend on whether it is an electron or muon, and if not, why not?

3. Using an accelerator or some other natural phenomenon, suppose that you could observe a muon traveling through your lab at 0.999 times the speed of light. How long would it take to decay?

From time to time, the CDC committee that makes recommendations about vaccines (ACIP) decides to “change their minds” about the use of a particular vaccine, even though we might have been using it for a long time. Each time they do this, there is something about the “old” vaccine they didn’t like, and something about the “new” vaccine that fixes the problem. For each of the following, explain (1) the difference between how the old and the new vaccines function, and (2) how the new vaccine avoids some problem with the old one. If the new vaccine introduces some problem of its own, describe that, too.

A. In 1983 a 23-valent pneumonia vaccine was developed using the polysaccharide capsules from 23 different Strep pneumoniae strains, and was used for elderly people. But in 2015 the ACIP recommended switching to a 13-valent polysaccharide-protein conjugate vaccine (Prevnar-13).

B. In 1997 the recommendation was made to switch from a whole-cell Pertussis vaccine, which had been in use since 1949, to an acellular subunit vaccine.

C. In 1961 we switched from an inactivated Polio vaccine (developed in 1955) to a live attenuated one. Then in 2000 we switched back to the inactivated one. Explain both ACIP decisions. D. In the near future, the decision may be made to switch from the current Flu vaccine (either the live attenuated or the inactivated one) to a DNA-based flu vaccine.

CORPORATE VALUATION

Brandtly Industries invests a large sum of money in R&D; as a result, it retains and reinvests all of its earnings. In other words, Brandtly does not pay any dividends, and it has no plans to pay dividends in the near future. A major pension fund is interested in purchasing Brandtly's stock. The pension fund manager has estimated Brandtly's free cash flows for the next 4 years as follows: $2 million, $5 million, $9 million, and $16 million. After the fourth year, free cash flow is projected to grow at a constant 3%. Brandtly's WACC is 12%, the market value of its debt and preferred stock totals $62 million; and it has 14 million shares of common stock outstanding.

Write out your answers completely. For example, 13 million should be entered as 13,000,000.

1. What is the present value of the free cash flows projected during the next 4 years? Round your answer to the nearest cent. Do not round your intermediate calculations.
   
   $
2. 
   
3. What is the firm's horizon, or continuing, value? Round your answer to the nearest cent.
   
   $
4. 
   
5. What is the firm's total value today? Round your answer to the nearest cent. Do not round your intermediate calculations.
   
   $
6. 
   
7. What is an estimate of Brandtly's price per share? Round your answer to the nearest cent. Do not round your intermediate calculations.
   
   $

13-Sanya spent hours preparing her presentation for Tuesday's assignment in speech class. When she gave her speech to her group, she failed to make eye contact with her audience, and she fidgeted with her hair. She had reminded herself to exhibit these specific skills but lost points for failing to follow through during her presentation. She had the same problem with previous speeches. What basic need is not being met?

A.

Self-actualization

B.

Autonomy

C.

Competence

D.

Belonging

14-Kai's goal for her history assignment is to learn as much as she can about Navajo Indian culture by reading books and Internet sources and then visit the reservation near her hometown in New Mexico. Kai's goal orientation for this assignment is:

A.

performance approach.

B.

social.

C.

mastery.

D.

performance avoidance.

15-Jana practiced her lines for the play and watched movies in which gifted actors portrayed characters similar to her character in the high school play. After her performance, her teacher and other adults and students told her she gave a stellar performance. She said she worked really hard to develop the character's wacky disposition. She attributed her success to:

A.

external locus.

B.

stable causes.

C.

internal locus.

D.

uncontrollable causes.

1. In order to produce three glyceraldehyde-3-phosphate molecules that the plant could use to make other organic molecules, how many CO₂ molecules would have to enter the Calvin Cycle?

   		3
   		6
   		9
   		12

2. Genes A and B are on the same chromosome. If a person has one chromosome with the alleles AB and a second chromosome with the alleles ab, how could they produce a gamete with a chromosome containing the alleles Ab or aB?

   		independent assortment
   		random fertilization
   		crossing over
   		mitosis

3. There are several changes that occur to pre-mRNA in eukaryotic cells to produce the final mRNA molecule that will be used in translation. This process is called RNA processing. Which of the following occurs in the process of producing this final mRNA molecule?

   		a poly-A tail is added to the 5’ end
   		a modified guanine nucleotide is added to the 3’ end
   		the introns are cut out and the exons are attached to each other
   		none of the above

4. A mutation in a gene in the fruit fly Drosophila was found to affect eye color. The protein affected was found to be completely normal in its molecular weight and amino acid sequence, although much less of the protein is made in mutant flies. The most likely reason for the change in levels of protein is that the mutation:

   		occurs in the promoter of the gene, within several hundred base pairs of the start of transcription
   		is a change of a codon for serine into another codon for serine
   		is a frame shift mutation near the start of the coding region
   		affects the splicing of the mRNA

Case Scenario:

The patient is a 72-year-old widowed Native American woman named Rose Smith.  Mrs.Smith lives alone near Traverse City.  Her son, daughter-in-law, daughter and their children all live outside of Michigan.  

Her income is $15,000 per year and her healthcare coverage is traditional Medicare (Parts A, B and D).  She does not have access to a car.   Mrs. Smith is diabetic and routinely receives care at the local health clinic.  For hospital care she must travel to Traverse City.

Mrs. Smith tripped in her home and broke her left hip.  A surgical repair was necessary and was performed at Munson Medical Center for surgery with a 7-day inpatient stay.  After Mrs. Smith’s inpatient stay, she was discharged to Munson Health and Rehabilitation for short-term rehabilitation stay of 14 days.  Upon discharge from Munson, in-home physical and occupational therapy was scheduled for a period of 2 months.  The discharge plan for Mrs. Smith anticipates that she will be able to be discharged from home care post evaluation.  After that date, it is anticipated that she will live independently and care for herself at home.

1. Please identify the main case issues/concerns of this case.

2. Recommendations regarding effective solutions/strategies to address identified issues/concerns.