1. Determine forced and natural response for the following equation, where y[-1] =1, y[-2]=1 and x[n] = delta[n].

y[n]+1/2 y[n-1] -1/4 y[n-2] = x[n]

2. find the impulse response of the system described below

y[n]=1/2 y[n-1] + 2x[n]  

1. Consider the following results for independent samples taken from two populations.

a. What is the point estimate of the difference between the two population proportions (to 2 decimals)?

b. Develop a 90% confidence interval for the difference between the two population proportions (to 4 decimals). Use z-table.
to

c. Develop a 95% confidence interval for the difference between the two population proportions (to 4 decimals). Use z-table.
to

2.

JAVA

Lab 0.2 — Calculating Averages (Averages)

The file numbers.text consists of sequences of numbers, each sequence preceded by a header value and then followed by that many integers/ (For example the first line in the example below contains a header value of 3 followed by the three values 1, 2, and 3. Read in the sequences and print their averages. When all sequences have been read in, print out the number of sequences processed.

The header and subsequent values are placed on the same line for readability, but could just have easily been spread across two or more line, i.e., you don't have to process them using nextLine; simply read them in using nextInt.)

The name of your class should be Averages.

Sample Test Run

For example if the file numbers.text contains:

3 1 2 3
5 12 14 6 4 0
10 1 2 3 4 5 6 7 8 9 10
1 17
2 90 80

the program should produce the following output:

The average of the 3 integers 1 2 3 is 2.0
The average of the 5 integers 12 14 6 4 0 is 7.2
The average of the 10 integers 1 2 3 4 5 6 7 8 9 10 is 5.5
The average of the 1 integers 17 is 17.0
The average of the 2 integers 90 80 is 85.0
5 sets of numbers processed

A) The formation of DNA from individual nucleotides is best described as:

1. a process that will have a net yield of energy.

2. a process that will have no effect on disorder in the universe.

3. an anabolic reaction.

4. a catabolic reaction.

5. a spontaneous reaction

B)In a C4 plant where does the Calvin cycle predominantly take place?

1. in the vascular tissue.

2. in every cell in the plant.

3. in the bundle sheath cells of leaves.

4. in the mesophyll cells or leaves.

5 in the roots.

C)The formation of a polysaccharide from monosaccharides is best described as:

1. a process that will have a net yield of energy.

2. a process that will not increase disorder in the universe.

D) Chloroplast ATP synthase is present in which membrane?

1. the thylakoid membrane.

2. the mitochondrial inner membrane.

3. the chloroplast outer membrane.

4. the mitochondrial outer membrane.

5. the cristae

3. an anabolic reaction.

4. a catabolic reaction.

5. a spontaneous reaction.

Select a multinational FMCG company and evaluate it on the following Supply Chain Management criteria’s:

Inventory Replenishment System Application Criteria:
1. Inventory and Purpose of Inventory Management.
2. Integration of Inventory and Supply Chain Management
3. Inventory and Quality Management.
4. Inventory Control Systems.

Manufacturing and Service Cycle Application Criteria:
1. Strategic Importance of Product and Service Design.
2. Importance of Design Strategy factors
3. Importance of Standardization.
4. Importance of Legal, Ethical and Environment Issues in Product and Service Design.

Material Management Functions Application Criteria:
1. Strategic Importance of Materials Management.
2. Activities Involved in Materials Management
3. Intermodal and Multimodal Transportation.
4. ERP - – Importance and Limitations.

Inventory Planning Application Criteria:
1. Inventory Planning – Advantages and Disadvantages.
2. Inventory Control – Definitions, Objectives and Activities
3. Dependent and Independent Demand.
4. Product and Service Design and Manufacturing Standardization.

Select a multinational FMCG company and evaluate it on the following Supply Chain Management criteria’s:

Inventory Replenishment System Application Criteria:

1. Inventory and Purpose of Inventory Management.

2. Integration of Inventory and Supply Chain Management

3. Inventory and Quality Management.

4. Inventory Control Systems.

Manufacturing and Service Cycle Application Criteria:

1. Strategic Importance of Product and Service Design.

2. Importance of Design Strategy factors

3. Importance of Standardization.

4. Importance of Legal, Ethical and Environment Issues in Product and Service Design.

Material Management Functions Application Criteria:

1. Strategic Importance of Materials Management.

2. Activities Involved in Materials Management

3. Intermodal and Multimodal Transportation.

4. ERP - – Importance and Limitations.

Inventory Planning Application Criteria:

1. Inventory Planning – Advantages and Disadvantages.

2. Inventory Control – Definitions, Objectives and Activities

3. Dependent and Independent Demand.

4. Product and Service Design and Manufacturing Standardization.

How to graph:

I am tasked to graph a Beer-Lambert of BPB. It is explained that BPB that has it a molar extinction coefficient of basic form BPB is 31100M^-1cm^-1 at 590nm. Cuvette pathlength is 1cm. It transferred about 1ml of BPB solution into the cuvette for test and record. It was then made a serious of dilutions with 1 to 2, 1 to 4, 1 to 10, 1 to 20, and 1 to 40. They were tested and recorded the absorbance. It was explained that 1 to 4 dilutions means that 1 part of the original solution is diluted into a total of 4 parts e.g. 10ml sugar solution is diluted with 30ml water, making the final solution into 40 ml. The sugar concentration in the original solution should be 4 times as in the diluted one.

Example of data that was recorded from the dilutions.

using 590nm

How do you plot the average absorbance reading vs the dilution factor?

Where can you find out the liner range from the curve that was plotted?

Is the original solution within the linear range?

Calculate the concentration of the original BPB solution by Beer- lambert law

An investment advisor claimed that BIT return is 2%. Do you agree? Justify your reasoning using a two-tailed hypothesis test approach at the significance level of 5% in Excel.