Masterfoods USA states that their color blends were selected by conducting consumer preference tests, which indicated the assortment of colors that pleased the greatest number of people and created the most attractive overall effect. On average, they claim the following percentages of colors for M&Ms® milk chocolate candies: 24% blue, 20% orange, 16% green, 14% yellow, 13% red and 13% brown.

5. Test their claim that the true proportion of red M&Ms® candies is 0.13 at the 0.05 significance level.

6. Test their claim that the true proportion of brown M&Ms® candies is 0.13 at the 0.05 significance level.

7. On average, they claim that a 1.69 oz bag will contain more than 54 candies. Test this claim (µ > 54) at the 0.01 significance (σ unknown).

HELP:

As an example, say we had found 732 purple candies out of 3500 total candies. The sample proportion of purple candies is 732/3500 = 0.2091428571.
Now let's say you want to test that the true proportion of purple candies is 21% (0.21).
First define your hypotheses:
H0: p = 0.21 (claim)
H1: p ≠ 0.21

Next we need to calculate the test statistic. For this type of test, it is a z and a two tailed test. You have been asked to test at alpha = 0.05, so we will reject the null if the test statistic, z, is positive and greater than 1.96 OR if the test statistic, z, is negative and smaller than -1.96. (NOTE: This is the same as if the absolute value of the test statistic is greater than 1.96.)

Review: → sample proportion (0.209143)
p → assumed value in null (0.21)
q → 1 - p (0.79)
n → total number of candies (3500)

Because the test statistic is negatiae and is NOT smaller than -1.96, we FAIL TO REJECT. We have insufficient evidence to suggest the true proportion is not 0.21.

You will follow this procedure for EACH color.

Polaris is not a particularly bright star. To find Polaris, use the two stars in the bowl of the Big Dipper, farthest away from the handle. These two stars point to Polaris as discussed in class. Polaris is about five times the distance between these two stars.

1. Check you can find the two stars that point to Polaris.

2. Check that you can locate Polaris.

3. Draw a picture showing the two stars pointing to Polaris.





4. What constellation is Polaris in?




5. Fill in the below chart with different locations on Earth on the Northern Hemisphere.

Location Latitude Longitude Polaris Altitude
Vancouver, BC 49° N 123° W







6. Make a graph of Polaris Altitude vs. Latitude.














7. Make a graph of Polaris Altitude vs. Longitude.









8. Are there any relationship between one’s location and the altitude of Polaris? Explain using a drawing showing the earth, Polaris, and different observers on Earth.











9. Change the location to Santiago, Chile.

10. Turn off the landscape/ground.

11. What is the altitude of Polaris now? What does this mean?

Assume that United States residents invest heavily in the Australian government and stocks. In addition, Australian residents invest heavily in the United States.

Because your firm imports goods from Australia, you are assigned to forecast the value of AUD (the Australian dollar) against the USD – i.e., you forecast St(AUDUSD). Explain how each of the following conditions will affect the value of the AUD, holding other things equal. Then, aggregate all of these impacts to develop an overall forecast of the AUD’s movement against the USD. (Please plot a figure to explain each condition, except for question f. No figures, no points.)

a. U.S. inflation has suddenly increased substantially, while Australian inflation remains low. (7 points)

b. The U.S. interest rates have increased substantially, while the Australian interest rates remain the same. (7 points)

c. The income level in the U.S. increased substantially, while the Australian income level has remained unchanged. (7 points)

d. The U.S. is expected to impose a new small tariff on goods imported from Australia. (7 points)

e. In Australia, the recent dysfunction within the two major political parties has seen seven different Prime Ministers take office in the past decade. You expect that this situation may be going to get worse and assume Australia is not a safe haven. (7 points)

f. Combine all expected impacts to develop an overall forecast. (2 points)

Follow a public traded stock and analyze the changes in stock price. Write a presentation and an executive memo of your findings. Choose one of the following companies:

1. Amazon
2. Alphabet
3. Microsoft
4. Facebook
5. Apple

In your presentation you should:

1. Describe graphically the trend of the stock prices during the last 2 months and, in more detail, during the last 3 weeks.
2. Explain the observed trends
3. Compare the trends with relevant indexes
4. Relate these trends to relevant contextual information (example: Covid crisis).
5. Is the development of the prices positive? Do you consider that an investment done two months ago is good? Explain.
6. Regarding this context, briefly forecast the changes in prices for the next month.

Follow a public traded stock and analyze the changes in stock price. Write a presentation and an executive memo of your findings. Choose one of the following companies:

1. Amazon
2. Alphabet
3. Microsoft
4. Facebook
5. Apple

In your presentation you should:

1. Describe graphically the trend of the stock prices during the last 2 months and, in more detail, during the last 3 weeks.
2. Explain the observed trends
3. Compare the trends with relevant indexes
4. Relate these trends to relevant contextual information (example: Covid crisis).
5. Is the development of the prices positive? Do you consider that an investment done two months ago is good? Explain.
6. Regarding this context, briefly forecast the changes in prices for the next month.

Monash College is purchasing a new telephone system that will last for 4 years. It can purchase the system using one of the following two options

• Option A: An up-front payment of $178,000
• Option B: Monthly payment of $4000 with the first payment to be made now and the last payment to be made 47 months from now.

Question

1. If Monash College can borrow at an annual percentage rate of 5% with monthly compounding, calculate and identify which option the Monash College should choose?
2. In option B, if the monthly payments were made at the end of each month, without calculation briefly explain if your answer to part 2 a) would be different.

Im trying to derive Cp - Cv = R where Cp and Cv are the molar specific heats at constant pressure and volume respectively. (R = 8.314 J/(mol*K)). So I'm only having problems with the last step.

I get that for a process at constant pressure we have:

∆E(internal) = Q + W = nCp∆T - P∆V

And I get that for a process at constant volume we have:

∆E(internal) = Q + W = Q + 0 => ∆E(internal) = Q

The last step is setting these two equations equal to one another, but I don't understand how we know that the internal energy of both processes are the same.

1. Sheridan Service has a line of credit loan with the bank. The initial loan balance was ​$8000.00. Payments of ​$3000.00 and ​$4000.00 were made after three months and eight months respectively. At the end of one​ year, Sheridan Service borrowed an additional ​$4500.00. Seven months​ later, the line of credit loan was converted into a collateral mortgage loan. What was the amount of the mortgage loan if the line of credit interest was 7​% compounded monthly?

2. A variable rate demand loan showed an initial balance of ​$8000.00​, payments of ​$3500.00 after six​ months, ​$3500.00 after 21​ months, and a final payment after six years. Interest was 7​% compounded quarterly for the first 21 months and 7.2​% compounded monthly for the remaining time. What was the size of the final​ payment?

The following data represent the number of games played in each series of an annual tournament from

1923 to 2001.

Complete parts​ (a) through​ (d) below.

​(a) Construct a discrete probability distribution for the random variable x.

​(Round to four decimal places as​ needed.)

​​(c) Compute and interpret the mean of the random variable x.

​(Round to four decimal places as​ needed.)

Interpret the mean of the random variable x.

The​ series, if played many​ times, would be expected to last about 4.3 ​games, on average.

B. The​ series, if played one​ time, would be expected to last about 5.7 games.

C. The​ series, if played many​ times, would be expected to last about 5.7 ​games, on average.

​(d) Compute the standard deviation of the random variable x.

​(Round to one decimal place as​ needed.)

Question 1 (1 point)

4-3 (True/False) There are major differences between firewalls for wired ad wireless uses.

Question 1 options:

Question 2 (1 point)

4-14 Which of the following terms best describes the following diagram?

Question 2 options:

Question 3 (1 point)

4-13 Which of the following is the BEST definition of dual-homed?

Question 3 options:

Question 4 (1 point)

4-10 Which of the following is the name for a lower-end (small business grade) firewall appliance that is capable of packet filtering, content filtering, intrusion detection, proxy, and application layer filtering?

Question 4 options:

Question 5 (1 point)

4-11 Which of the following is most often used for protecting a single computer?

Question 5 options:

Question 6 (1 point)

4-7 Which of the following were generation one firewalls capable of?

Question 6 options:

Question 7 (1 point)

4-6 the earliest firewalls were only capable of which of the following kinds of filtering?

Question 7 options:

Question 8 (1 point)

4-1 Which of the following were firewalls originally conceived to perform?

Question 8 options:

Question 9 (1 point)

4-8 Which of the following is the word describing a firewall that is aware of a packet's place in an established and ongoing conversations

Question 9 options:

Question 10 (1 point)

4-20 Which of the following refers to a software firewall places on a dedicated server to create an internal hardware firewall?

Question 10 options: