Explain what the World Bank and the IMF are and the goals of both. Please explain in extensive detail and provide a thorough example so I may understand it thoroughly.

Make sure you state your hypotheses and rejection rule. Calculate your test statistic and decide whether to reject the null hypothesis or not and then explain what that conclusion means. You will need to use formulas with proper notation and draw diagrams for each of these problems.

2. From a population of coffee cans marked "12 ounces," a sample of 25 cans is selected and the contents of each can is weighed. The sample revealed a mean of 11.8 ounces with a standard deviation of 0.5 ounces. Use a .05 level of significance to test if the cans are being under filled.

A large bank claims that approximately 14% of all house loans it issues are in default. A random sample of 243 house loans issued by this bank finds that 42 of them are in default. Do the data indicate that the proportion of loans in default exceeds 14%?

(a) State the null and alternative hypotheses for the test.

(b) State the formula for the test statistic and compute its value. Justify your answer.

(c) Construct the rejection region and make a decision. Use α = 0.05

(d) State a conclusion about the the proportion of house loans in default based on the test you performed.

A large bank claims that approximately 14% of all house loans it issues are in default. A random sample of 243 house loans issued by this bank finds that 42 of them are in default. Do the data indicate that the proportion of loans in default exceeds 14%?

(a) State the null and alternative hypotheses for the test.

(b) State the formula for the test statistic and compute its value. Justify your answer.

(c) Construct the rejection region and make a decision. Use α = 0.05

(d) State a conclusion about the the proportion of house loans in default based on the test you performed.

1.Describe in detail the effect caused by radiation on a) IR, b) UV and c) microwave radiation?

2.The Planck equation, DE = hu, allows to calculate the energy of any type of radiation, however in the IR for convenience and easy handling of the energy value it is preferred to use the inverse of the l in cm-1, which known as the wave number. What is the expression for the Planck equation as a function of the wave number? Apply it to calculate the energy when l is equal to 3.0 μ. Emphasize the units

3.What causes exposure or proximity in humans: a) to an IR lamp, b) spending an hour under the sun, c) taking a plate with X-rays or obtaining an MRI? Explain in detail and then justify whyWhat causes exposure or proximity in humans: a) to an IR lamp, b) spending an hour under the sun, c) taking a plate with X-rays or obtaining an MRI? Explain in detail and then justify why

4.What functional groups show absorptions dependent on the substituents and the degree of symmetry around them?

5.What type of vibration requires more energy to produce, one of stretching or one of bending? (two)

6. How is a (CH3) 2CH- group recognized by IR? Refer to a specific compound that is not an alkane. (4)

7.Which C = O aliphatic group absorbs more to the right of the IR spectrum? Show an example and explain the reason. (3)

8.. What functional groups show characteristic absorptions in the region of traces of the IR spectrum? Provide one molecule for each case

At Spring Break, you decide to take what you have learned in Business Statistics and apply it in Las Vegas. You hit the roulette table and you bet on red each time. The probability of winning is approximately 0.47. You bet on red 5 times. Calculate the probability of losing at least 2 times. (Use Binomial Distribution)

For this weeks discussion, I would like for you to read about the untoward effects of chemicals found in marijuana and the potential medical conditions that can occur. As there is also a discrepancy between Federal and State regulations, how is the safety and consistency of marijuana use regulated? Please remember to cite your sources

Show your work!

2.   We did a poll of students in a BUS 232 class. The students were asked to name their favorite color. The result is shown in Table 2.

Table 2

     Favorite Color

Number of E whoare∈favorof F

Hint: Conditional Probability Rule: P (F | E) =

Totalnumberof E

Suppose that one student is selected at random from the group. (4 points) What is the probability as a fraction in the simplest form that:

1. it will be a male? P (male) =
2. it will be a female who likes red? Hint: This is NOT a conditional probability.
   16. (a female who likes red) =
3. it will be someone who likes blue given that we know that it is a male?
   16. (someone who likes blue | male) =
4. it will be someone who likes red given that we know that it is a female?

.

16. (someone who likes red | female) =

3.   Suppose you roll a fair die three times. What would be the probability of getting ONE three times? Hint: Use the law of large number, which is the theoretical probability. Show the answers as a fraction in the simplest form. (2 point)

P (1 for the first roll, 1 for the second roll and 1 for the third roll roll) =

Exercise 1.2. You have a pile of balls consisting of 4 red balls, 5 blue balls, 3 green balls, and 8 orange balls. Suppose you randomly choose a ball, one at a time, from this pile until you have pulled out a collection 4 balls. Assume repeats are allowed in all parts of this problem.
1. In how many ways could you make a selection that has exactly one green ball?
2. In how many ways could you make a selection that has exactly three green balls?
3. In how many ways could you make a selection that has no green balls?
4. In how many ways could you make a selection that has four green balls? (This is not a typo.)
Exercise 1.3. How many PIN numbers can we make if repeats are allowed? If repeats are not allowed?
Exercise 1.4. Answer each of the following.
1. How many 5-letter codes are there without repeats? (Recall there are 26 letters in the alphabet that we could use.)
2. How many of these codes start with the letter “a”?
Exercise 1.5. How many 3-letter codes can be made using only vowels? What about only consonants?
Exercise 1.6. There are 10 red jelly beans, 8 blue jelly beans and 12 green jelly beans in a jar.
1. How many ways could I pick out any combination of three jelly beans?
2. If I pick out three jelly beans, in how many ways could I pick exactly two red or exactly two green jelly beans?
3. If I pick out three jelly beans, in how many ways could I pick exactly one blue jelly bean?
Exercise 1.7. In how many ways could you draw a red card or a face card from a standard deck of 52 cards? What about a red card then a face card?

A CBS News/New York Times survey found that 97% of Americans believe that texting while driving should be outlawed (CBS News website, January 5, 2015).

a. For a sample of 10 Americans, what is the probability that at least 8 say that they believe texting while driving should be outlawed? Use the binomial distribution probability function to answer this question (to 4 decimals).

b. For a sample of 100 Americans, what is the probability that at least 95 say that they believe texting while driving should be outlawed? Use the normal approximation of the binomial distribution to answer this question (to 4 decimals). Use “Continuity correction factor” method. Use Table 1 in Appendix B.

c. As the number of trials in a binomial distribution application becomes large, what is the advantage of using the normal approximation of the binomial distribution to compute probabilities?

d. When the number of trials for a binominal distribution application becomes large, would developers of statistical software packages prefer to use the binomial distribution probability function shown in Section 5.5 or the normal approximation of the binomial distribution discussed in Section 6.3?

Explain.

The input in the box below will not be graded, but may be reviewed and considered by your instructor.

Suppose we are interested in bidding on a piece of land and we know one other bidder is interested. The seller announced that the highest bid in excess of $10,500 will be accepted. Assume that the competitor's bid x is a random variable that is uniformly distributed between $10,500 and $14,600.

1. Suppose you bid $12,000. What is the probability that your bid will be accepted (to 2 decimals)?
   
   
2. Suppose you bid $14,000. What is the probability that your bid will be accepted (to 2 decimals)?
   
   
3. What amount should you bid to maximize the probability that you get the property (in dollars)?
   
   
4. Suppose that you know someone is willing to pay you $16,000 for the property. You are considering bidding the amount shown in part (c) but a friend suggests you bid $13,250. If your objective is to maximize the expected profit, what is your bid?

What is the expected profit for this bid (in dollars)?