Your code must print all the steps in the output as an Eg>

When you run your Merge sort code the sequence of output should be:

1) Enter input sequence

2) Show n/2 division of the input sequence

3) keep showing n/2 division of your sequence until you get one attribute

4) Sort first two numbers

5) Make a stack of 4 by merging 2 * 2 and sort them

6) keep showing merging and sorting until you show the final merging of last two stacks and sort them.

Similarly, show all the steps for Bubble sort.

Mostly need Bubble in Java, please.v

3. A teacher believes that a new method will improve students’ reading ability. For 8 weeks, she teaches a class of 21 students using these new methods. Meanwhile a colleague uses “traditional” methods to teach his 23 students. At the end of the 8 weeks, all the students are given the Degree of Reading Power Test. Here are the scores:

         New Method students

Traditional Method students

Are we justified in using the t procedures? Explain.

Give a significance test to check the teacher’s theory. Include all relevant components. (you may wish to list some “background” items first)

Give a 99% confidence interval for the mean difference between the two groups of students

Draw an overall conclusion based on parts B and C.

A manufacturing company is measuring the diameter of a ball bearing in mm by 12 inspectors, each using two different kinds of calipers to test the difference between the sample means of the two calipers used. Data is shown below. Use excel to resolve.

a) Use t-test to check if there is a significant difference between the means of the population of measurements from which the two samples were selected? Use α = 0.01, 0.05, 0.1 and comment on the results.

b) Find the P-value for the test in part (a).

STAT 14_3:

Ronit has a box with beads. The beads are opaque or transparent and available in several colors.
The probability of a random bead being red is 0.3. The probability of a bead being transparent is 0.6.
Of the red beads - the probability of a random bead being transparent is 0.5.

a. Remove 8 beads from the box at random and upon return. What is the probability that exactly two of them will be red?

b. Take beads out of the box accidentally and on return until you first remove a transparent bead
i. What is the probability of getting more than 4 beads?
ii. The first two beads taken out were not transparent. What is the probability of getting 7 beads out of the box?

c. Remove 10 beads from the box at random and upon return. What is the probability that exactly three of them will be red and transparent, two opaque and red and 5 transparent and red?

you have $100 to invest in two different investment projects, A and B, the total returns from which (TR and TR) are given below. the cost of purchasing a unit of investment in each project is $10 per unit. your problem is to invest the $100 in the two invest the $100 in the two investments so as to maximize your total return (for example, if you invested the entire $100 in investment B, you would receive a total return of $105.) what is the general principle that defines the maximizing allocation of the $100 among the investment options?

Module 6 Worksheet: Chapter 10 Capital Budgeting – Complete in Excel

Please complete the following and upload this to the drop box by Sunday 11:55PM

1.        A project has and initial cost of $32,000, expected net cash inflows of $9,500 per year for 7 years, and a cost of capital of 10%.
   1.        What is the project’s NPV?
   2.        What is the project’s IRR?  
   3.        What is the projects payback period?

2.           Your division is considering two investment projects, each of which requires an up-front expenditure of $20 million. You estimate that the investments will produce the following net cash flows:

Year                       Project A              Project B

1                              $5,000,000           $20,000,000

2                              10,000,000           10,000,000

3                              20.000.000           6,000,000

1.        What are the two project’s NPVs assuming the cost of capital is 8%, 14%, 20%?
2.        What are the two projects’ IRRs at those same costs of capital?

Temperature Conversion Menu (100 pts)

The three common temperature scales are Celsius, Fahrenheit and Kelvin. The conversion formulae for each of the scales is shown below (where °C, °F and K represent the temperatures in degrees Celsius, degrees Fahrenheit and Kelvin respectively):

Celsius to Fahrenheit: °F = (9.0/5) ´ (°C) + 32

Celsius to Kelvin: K = °C + 273.15

Kelvin to Celsius: °C = K – 273.15

Kelvin to Fahrenheit: °F = (9.0/5) ´ (K – 273.15) + 32

Fahrenheit to Celsius: °C = (5.0/9) ´ (°F – 32)

Fahrenheit to Kelvin: K = (5.0/9) ´ (°F – 32) + 273.15

Write a program that can convert the temperature using the given formulae.

Your code should:

1. Generate a menu for displaying the menu conversion options.

• Menu should be displayed using a void method that accepts no parameters
• Choices are:          1 – convert from Celsius to Fahrenheit

2 – convert from Celsius to Kelvin

3 – convert from Kelvin to Celsius

4 – convert from Kelvin to Fahrenheit

5 – convert from Fahrenheit to Celsius

6 – convert from Fahrenheit to Kelvin

7 – quit the program

2. Ask the user to select a value (from the menu above) that indicates their choice:

• Use a while loop to ensure that the user only enters a value between 1 and 7. (In other words, force the user to re-enter the value if the values are outside that range).

3. Ask the user to enter the temperature if the selection is between 1 and 6.
   • Make sure to initialize temperature to 0 when you declare it.

4. Perform the necessary conversion based on the selection that was made.

• The selections should be managed by a switch statement
• Cases 1-6 in the switch statement should then redirect to a conversion method that performs the calculations. Each method here should be a value returning method that accepts 1 parameter (the temperature) and returns a value.
  • Case 1 should include a method call for converting Celsius to Fahrenheit
  • Case 2 should include a method call for converting Celsius to Kelvin
  • Case 3 should include a method call for converting Kelvin to Celsius
  • Case 4 should include a method call for converting Kelvin to Fahrenheit
  • Case 5 should include a method call for converting Fahrenheit to Celsius
  • Case 6 should include a method call for converting Fahrenheit to Kelvin
  • Case 7 does not require a method; only an output to indicate that the program is ending. (No default case is needed)
• Note: NONE of your value returning methods should prompt the user for the temperature (as this would have already been done in part 3).

5. Loop from step 1, using a do while loop which would allow the user to enter another option. The program should only end when the user presses 7. (In other words, the loop runs while the choice is not equal to 7.)

Samples of the output are shown below. (Note, match the wording as closely as possible and accomplish the same tasks.)

Please select an option below (1 to 7):
1. Convert from Celsius to Fahrenheit
2. Convert from Celsius to Kelvin
3. Convert from Kelvin to Celsius
4. Convert from Kelvin to Fahrenheit
5. Convert from Fahrenheit to Celsius
6. Convert from Fahrenheit to Kelvin
7. Quit
Enter choice: 8
Invalid entry. Renter choice: 1
Enter the temperature: 100
100.0 degrees Celsius is 212.0 degrees Fahrenheit


Please select an option below (1 to 7):
1. Convert from Celsius to Fahrenheit
2. Convert from Celsius to Kelvin
3. Convert from Kelvin to Celsius
4. Convert from Kelvin to Fahrenheit
5. Convert from Fahrenheit to Celsius
6. Convert from Fahrenheit to Kelvin
7. Quit
Enter choice: 2
Enter the temperature: 0
0.0 degrees Celsius is 273.15 Kelvin


Please select an option below (1 to 7):
1. Convert from Celsius to Fahrenheit
2. Convert from Celsius to Kelvin
3. Convert from Kelvin to Celsius
4. Convert from Kelvin to Fahrenheit
5. Convert from Fahrenheit to Celsius
6. Convert from Fahrenheit to Kelvin
7. Quit
Enter choice: 3
Enter the temperature: -40
-40.0 degrees Fahrenheit is -40.0 degrees Celsius


Please select an option below (1 to 7):
1. Convert from Celsius to Fahrenheit
2. Convert from Celsius to Kelvin
3. Convert from Kelvin to Celsius
4. Convert from Kelvin to Fahrenheit
5. Convert from Fahrenheit to Celsius
6. Convert from Fahrenheit to Kelvin
7. Quit
Enter choice: 4
Enter the temperature: 70
70.0 degrees Fahrenheit is 294.26111111111106 Kelvin


Please select an option below (1 to 7):
1. Convert from Celsius to Fahrenheit
2. Convert from Celsius to Kelvin
3. Convert from Kelvin to Celsius
4. Convert from Kelvin to Fahrenheit
5. Convert from Fahrenheit to Celsius
6. Convert from Fahrenheit to Kelvin
7. Quit
Enter choice: 5
Enter the temperature: 100
100.0 Kelvin is -173.14999999999998 degrees Celsius


Please select an option below (1 to 7):
1. Convert from Celsius to Fahrenheit
2. Convert from Celsius to Kelvin
3. Convert from Kelvin to Celsius
4. Convert from Kelvin to Fahrenheit
5. Convert from Fahrenheit to Celsius
6. Convert from Fahrenheit to Kelvin
7. Quit
Enter choice: 6
Enter the temperature: 100
100.0 Kelvin is -279.66999999999996 degrees Fahrenheit


Please select an option below (1 to 7):
1. Convert from Celsius to Fahrenheit
2. Convert from Celsius to Kelvin
3. Convert from Kelvin to Celsius
4. Convert from Kelvin to Fahrenheit
5. Convert from Fahrenheit to Celsius
6. Convert from Fahrenheit to Kelvin
7. Quit
Enter choice: 7
Ok bye!

There are two candidate RNAs for COVID-19 diagnosis: RNA1, RNA2. Canadian Disease Control Center carried out a clinical trial to check the expression levels for these two RNAs in the subjects with the virus infection: one group of 50 randomly recruited subjects has no critical symptoms; and the other group of 50 subjects has symptoms. After normalization, RNA1 expression levels follow a normal distribution N(0,1) for no-symptom subjects while N(1,1) for subjects with symptoms requiring hospitalization. For RNA2, the corresponding expression levels in nonsymptom subjects and subjects with symptoms follow normal distributions N(0,1) and N(-1,1), respectively.

a. For one breast cancer patient with normalized RNA1 expression level at 2, what is the log-likelihood ratio (LLR) of this patient being diagnosed to be hospitalized? (3 pts)


b. Taking naive Bayes classifier, if we know RNA1=2, RNA2 = 1, what will be the naive Bayes score of the patient being hospitalized? (3 pts)



c. What is the basic assumption of naive Bayes classifier? Under what situations, it may be problematic? (4 pts)

The textbook basically says that the general addition rule is when A and B are two events in a probability experiment. The probability that either one of the events will occur is: P (A or B) = P (A) + P (B) – P (A and B). For example, if you take out a single card from a pack of cards, what is the probability that the card is either an ace or spade? Therefore, P(A) = 4/52, P (B) = 13/52, and P (A and B) = 1/52. P (A or B) = 4/52 + 13/52 – 1/52. P (A or B) = 4/13. Conditional Probability is the probability of one event (A) occurring with a relationship to another event (B). For example, in a sample of 40 vehicles, 18 are red, 6 are trucks, and 2 are both. Suppose that a randomly selected vehicle is red. What is the probability it is a truck? P(truck|red) = P (truck and red) / P (red). P (truck|red) = 2/40 = 18/40 = 2/18 = 1/9 or .11. So, if we must find the probability of an event which will occur given that another event has occurred, we will use conditional probability. If two events are mutually exclusive (no chance of things happening together) and you want to find the probability that an event A or B happens, we will use general addition rule.

"So we could use the general addition rule in the general election (in November elections) and use conditional probability in the primaries?"