You are required to research and report on this topic according to the Detail of Question below.
Detail of Questions
A. Alice is sending an encrypted message to Bob.
1. Discuss Kerckhoff’s principle.
2. What should be kept secret?

B. By using the plain text, key and IV, convert the following plaintext to cipher-text using the below mode:
1. Block Cipher Chain (CBC)
Plain Text: 111100011000001
Key: 1 2 3 4
4 1 2 3
IV = 0111

C. The figure bellow present the two-key method in 3DES. Indicate in detail what would the result be if :
1. ?1=?3
2. ?1=?2

D. Alice is sending message “HIDE” to Bob. Perform encryption and decryption using RSA algorithm, with the following information:

Parameters

p q e 11 5 7

Present all the information that you will need to encrypt and decrypt only the first letter from text.

Suppose that the following are the quarterly sales data for the past 7 years.

1.Construct a time series plot and develop linear trend equation using the original data (with seasonal components).

2.Calculate 4-quarter moving average values for this time series (column E).

3.Calculate centered moving average values and seasonal indexes (column F and G).

4.Calculate seasonal indexes (column J) for the four quarters.

5.Copy seasonal indexes (column J) to column O, and calculate deseasonalized number sold (column P).

6.Construct a time series plot and develop linear trend equation using the deseasonalized data (without seasonal components).

Often, planned tasks and their duration may change during project execution. It is important to analyze the effect of these changes on your project to ensure that the project still executes as expected. In this assignment, you will learn how to monitor your project for any effect of changes to planned tasks.

Revisit Chapter 6, "Project Time Management" in your textbook. Assume that there are six tasks to be completed in a project. Their duration and predecessors are specified in the following table:

Perform the following tasks:

1. Create a network diagram for this project.

2. Calculate the critical path and slack times for all tasks.

3. Assume that during project execution, you need to change the duration for Task 3 to 5 days, and Task 2 is finished 1 day early. How would these changes affect your project? What problems would have arisen if you were not monitoring the project?

4. Submit the network diagram as an embedded image in a 3- to 4-page document that also contains the calculations for the critical path and slack times and responses to the questions.

Submit your answers in the online classroom by Day 6.

Submit your answers by Day 6.

a.Below table shows the number of conforming products in 20 days. (a) Set up the fraction nonconforming control chart for this process. Plot the preliminary data in Table on the chart. Is the process in statistical control? B.Assume that assignable causes can be found for any out-of-control points on this chart. What center line and control limits should be used for process monitoring in the next period?

4. When the ticket price for a concert at the opera house was $50, the average attendance was 4000 people. When the ticket price was raised to $52, the average attendance was 3800 people. a. Assuming the demand function is linear, find the demand function, p. b. Find the number of tickets sold that maximize the revenue. Use the second derivative test to verify it is a maximum. c. Find the price that maximizes the revenue. d. Find the maximum revenue.

5. Find the derivative of ? a. ? = (5? + 3) 2(2? + 1) 4 using the product rule. Factor final answer as much as possible. b. ? = 3? 2−5?+2 4?+1 using the quotient rule. Clean up the numerator but do not factor it.

1.         A.        An educational psychologist is studying student motivation in elementary school.  A sample of n=5 students is followed over 3 years from fourth to sixth grade and measurements of motivation are taken.  The following data are obtained:

            Student            Fourth             Fifth                Sixth

            A                     4                      3                      1

            B                     8                      6                      4

            C                     5                      3                      3

            D                     7                      4                      2

            E                      6                      4                      0

Test the differences at .05.  

B.        Use Tukey’s HSD to report which groups are different.

C.        Use a post hoc t-test to look at the differences between fourth and sixth grade.  

2          A.        An educational psychologist is studying student motivation in elementary school.  A sample of n=15 students, 5 from each grade from fourth to sixth grade and measurements of motivation are taken.  The following data are obtained:

            Fourth             Fifth                Sixth

            4                      3                      1

            8                      7                      0

            3                      3                      2

            5                      5                      2

            5                      4                      0

Test the differences at .05.  

B.  Use Scheffe’s to compare fourth and sixth.  

C.  Use a post hoc t-test to look at the differences between fourth and sixth grade.  

Thailand, Vietnam, and China have had a fast population increase over the last 10 years. It is expected that the growth will continue over the next 10 years. Therefore, many food companies that want to build new restaurants in these countries. McDonald's is no exception. The director of planning for McDonald's wants to study adding more restaurants in these countries. He believes there are two main factors that indicate the amount families spend on Food. The first is their income and the other is the number of people in the family. The director gathered the following sample information.

Food and income are reported in thousands of dollars per year, and the variable size refers to the number of people in the household.

  Click here for the Excel Data File

1. a-1. Develop a correlation matrix. (Round your answers to 3 decimal places. Negative amounts should be indicated by a minus sign.)

1. a-2. Do you see any problem with multicollinearity?

1. b-1. Determine the regression equation. (Round your answer to 3 decimal places.)

1. b-2. How much does an additional family member add to the amount spent on food? (Round your answer to the nearest dollar amount.)

1. c-1. What is the value of R²? (Round your answer to 3 decimal places.)

1. c-2. Complete the ANOVA (Leave no cells blank - be certain to enter "0" wherever required. Round SS, MS to 4 decimal places and F to 2 decimal places.)

1. c-3. State the decision rule for 0.05 significance level. H₀: = β₁ = β₂ = 0; H₁: Not all β_i's = 0. (Round your answer to 2 decimal places.)

1. c-4. Can we reject H₀: = β₁ = β₂ = 0?

1. d-1. Complete the table given below. (Leave no cells blank - be certain to enter "0" wherever required. Round Coefficient, SE Coefficient, P to 4 decimal places and T to 2 decimal places.)

1. d-2. Would you consider deleting either of the independent variables?

5. State true or false.

From the graph the residuals appear normally distributed.

• True

• False

6. Choose the right option from the following graph.

• There is a homoscedasticity problem.

• There is no homoscedasticity problem

Where is the function increasing or decreasing and what are the relative mins and max?

g(t) = 3t^4-16t^3+24t^2, Domain (-infinity, +infinity)

k(x) = 2x/5 - (x-1)^2/5, Domain [0, infinity)

g(x) = x^3/x^2-3

g(x) = x^2-4√ x

Find a particular solution to the following non homogenous equations

1) y''' + y = t^3 + sin (t) + 11e^t

2) y'' + y = 2tsin(t)

3) y''''' - 4 y''' = e^2t + t^2 +5t + 4