Consider the following hypothesis test:

H ₀:   50

H _a:  > 50

A sample of 70 is used and the population standard deviation is 7. Use the critical value approach to state your conclusion for each of the following sample results. Use  = .05.

a. With x = 52.5, what is the value of the test statistic (to 2 decimals)?

b.  With x = 51, what is the value of the test statistic (to 2 decimals)?

c. With x = 51.8, what is the value of the test statistic (to 2 decimals)?

How to do this program in C ?

You have a sock drawer.  You have an infinite supply of red, green, yellow, orange, and blue socks.
1) Choose how many socks of each color you will put into the drawer.  0 is an ok number, but it would be nonsense to allow the user to put a negative number of socks into the drawer, so if the user tries to do that, print an error message and quit the program.

2) Ask the user to specify two colors of socks typing the first letters of the two colors in response to a prompt.  Sample dialog:

What two colors of socks are you interested in:YO
It is an error to specify the same color twice.  
Your response of YO would mean that you are interested in yellow and orange socks.
RR would be an improper response and should recieve an error message.

3) Pretend that the user shuts their eyes, reaches into the drawer, and retrieves one sock.  Calculate the probability that the sock is one of the two specified colors.

If c1 and c2 are the specified colors, and nk is the number of socks of color k,
then the required probability would be

(n1 + n2) / (n1 + n2 + n3 + n4 + n5)

For instance, suppose there are 5 red socks, 4 green socks, 3 yellow socks, 2 ornage socks and 1 blue sock. If the user specified red and yellow (RY)
the probability would be (5 + 3) / (5 + 4 + 3 + 2 + 1)

Use ints to hold the number of socks of each color, but calculate the
probabilities as doubles.

1. Joshua used gel filtration chromatography to purify protein Z from crude homogenate prepared from Arabidopsis plants. He noticed that protein Z appeared to have eluted from the column in two separate peaks. Using a standard curve, he calculated the MW of protein Z eluted in the first peak to be 156 KDa, and the protein Z eluted in the second peak had the apparent MW of 78 KDa. Which one do you think is the correct MW? What does this tell you about the structure of the protein?

2. Read the following paragraph and correct all errors (4.15 points).

An unemployed high school student, Summer, has isolated a protein from a juniper tree with an overall negative charge. He performs ion exchange chromatography using a cationic resin with blue dextran to aid the proteins association with the column. As the proteins come off the column, the spec shows 4 peaks, only the first peak (wash peak) shows activity in an enzyme assay. Since all fractions associated with this peak had activity, they were pooled and total protein assayed. Total protein analysis was assayed using Bicine reagent which interacts with proteins to cause a change in absorption when measured with a spectrophotometer. The results of the total protein calculation showed that there was a modest decrease in total protein which means that there was a large amount of pure protein of his interest present in the sample.

3.You have accidentally mixed a bunch of amino acids (tryptophan, tyrosine, alanine, selenocysteine, proline, arginine) together and once your boss finds out, you will be fired on the spot. Your only hope of saving your job is to separate them before anyone finds out. You decide that the only viable option is to use ion exchange chromatography. Explain, in detail, how you would do this? (4.15 points)

4. Why should you not lose any LDH in your 20k x g spin? How does this explain an increase the fold purification of LDH in your 20k x g sample compared to your crude homogenate? (2 points)

De Beers, a diamond mining and distribution firm, is one of the most successful monopolies in history. The firm used numerous tactics to successfully control supply and demand. Read the article 'Here's why diamonds are so expensive' (Links to an external site.), and watch the video 'Why engagement rings are a scam' (Links to an external site.) [warning: contains strong language], and respond to the following prompts in a post with a minimum of 250 words. Feel free to bring in additional references to these reply posts. Using economic principles and models, explain how De Beers are able to set high prices for their diamonds? In recent times, rival firms in Canada, Australia, and Russia have found huge deposits of precious stones. What would happen to prices and supply of diamonds if De Beers allowed their competitors to enter the diamond market. Use economic principles and models to explain your answers. In 2004, De Beers was charged by the US Department of Justice for violating antitrust laws. What is the purpose of antitrust laws? What other kind of government policies exist in dealing with monopolies? Now that you have learned about De Beers and the diamond market, would you spend or expect your partner to spend two months of your/your partner's salary on an engagement ring? Explain your answer.

The Coronation painting of Napoleon by Jacques-Louis David

How would you describe the artist’s use of line in this work? Is it clear and realistic? Is it vague, blurry and imaginative? How does the use of line accomplish the artist’s intentions for the work or add to creative expression evident on the canvas?

Is the “form” of this work open, closed, open with contracting properties or closed with expanding properties?

Regarding “space,” what specific techniques does the artist use in this painting to cause your eyes to perceive depth? Name the technique and state where you think it occurs. Is it linear perspective, aerial perspective, use of shading and blur, foreshortening or use of proportion and scale among the subjects and setting?

When describing the “textures” in painting, we describe how the artist’s technique makes your eyes perceive the surface textures of the subjects and other objects in the setting. How might some of the textures in this work feel to the touch? State the subject or setting object and describe the texture represented or implied by the artist.

Pieolapithecus, Dryopithecus, and Oreopithecus are special. Explain in detail why they are such unique species through a comparison of their location with two species from the Miocene living in a different continent?

Describe two ways in which the present value of a note receivable exchanged for Property, goods, and services might be determined? Explain in detail and cite the relevant paragraph

Q3. In case of generator stator single phase earth fault, how to protect 100% range of the stator winding? Explain the principles of related protections in detail.

Explain in detail using diagrams and schematic, the process of calibrating PX-70 Differential Pressure Transmitter (DPT) to measure pressure in the range 0 to 4 psi.

Explain in detail the following techniques giving their principle, different types, and applications:

a.Ion Exchange Chromatography

b.ColumnChromatography(Size-Exclusion and Affinity)

c.Thin Layer Chromatography