Part A

What is a radioactive decay series?

Match the words in the left column to the appropriate blanks in the sentences on the right. Make certain each sentence is complete before submitting your answer.

A series of numerical values have been obtained from a temperature sensor operating in a refrigeration unit. You have been tasked to use the C programming language to develop a program which will query the data series to compute a statistical summary. Upload your C source file to answer the question. The following conditions apply:

• Your program will read data via the standard input stream, and generate a report to the standard output stream.

• The data will be supplied in a plain text file.

• Numeric values are represented as decimal-format integers, separated by white space.

• Values of interest occupy the range {-10,…,30}.

• Due to sampling errors, the series also contains outliers – integers which fall outside the range of interest.

• Your program must parse the input file and count the number of occurrences of each value in the range of interest, ignoring any value outside that range.

• It should produce a statistical summary containing:

  • The lowest occurrence count, and all values for which the occurrence count is equal to the lowest count.

  • The second-lowest occurrence count, and all values for which the occurrence count is equal to the second-lowest count.

  • A complete listing showing the number of occurrences of each value in the range of interest.

• You are advised to use the code skeleton below as the starting point for your solution.

  #include <stdio.h>
  #include <stdlib.h>
  #include <limits.h>
  
  #define MAX_VAL 30
  #define MIN_VAL -10
  
  // Declare and initialise any additional global variables here, as required.
  
  void process(int x) {
      // Process one value here.
  }
  
  void post_process() {
      // Compute derived results here.
  }
  
  void print() {
      // Print results here
  }
  
  int main(void) {
      int x;
      while (1 == scanf("%d", &x)) {
          process(x);
      }
      post_process();
      print();
      return 0;
  }

• The program should process any data file correctly, but to help in your development, sample input data file sample.txt is provided below:

  -6 23 29 15 32 39 -13 12 24 -7 33 32 40 22 35 -2 20 25 27 36 -18 27 -7 35 -11 25 -16 24 8 10 31 10 18 3 31 2 4 -2 40 -18 18 -1 -8 33 21 -19 -8 21 14 -14 23 32 -8 12 -18 30 -2 -4 37 29 -18 37 8 24 32 10 32 -12 6 14 28 30 13 -13 30 -11 22 20 32 22 16 36 29 -8 13 -19 13 -6 -8 37 1 -10 -14 -14 34 -9 -1 21 -13 5 -8 24 -4 31 3 15 38 -8 -13 11 5 21 25 -13 6 22 40 -11 13 -16 30 -18 -12 28 11 -6 10 12 -10 -14 40 20 -2 -5 -16 -17 4 -12 10 24 -12 27 15 1 37 1 6 -2 14 20

• When compiled as program example and executed with the following command:

  cat sample.txt | ./example

  your program will ideally produce this output:

  The lowest count is 0, at -3, 0, 7, 9, 17, 19, 26
  The second-lowest count is 1, at -9, -5, 2, 16
  The complete histogram is:
  -10 -> 2
  -9 -> 1
  -8 -> 7
  -7 -> 2
  -6 -> 3
  -5 -> 1
  -4 -> 2
  -3 -> 0
  -2 -> 5
  -1 -> 2
  0 -> 0
  1 -> 3
  2 -> 1
  3 -> 2
  4 -> 2
  5 -> 2
  6 -> 3
  7 -> 0
  8 -> 2
  9 -> 0
  10 -> 5
  11 -> 2
  12 -> 3
  13 -> 4
  14 -> 3
  15 -> 3
  16 -> 1
  17 -> 0
  18 -> 2
  19 -> 0
  20 -> 4
  21 -> 4
  22 -> 4
  23 -> 2
  24 -> 5
  25 -> 3
  26 -> 0
  27 -> 3
  28 -> 2
  29 -> 3
  30 -> 4

Stop and Shop grocery shops Incorporation study showed that 50% of all customers will return to the same grocery shop. Suppose six customers are selected at random, what is the probability that:

(a) Exactly two customers will return?

(b) All six customers will return?

(c) At least five customers will return?

(d) At least one customer will return?

(e) How many customers would be expected to return to the same store?

The current price of a non-dividend-paying stock is $50. Over the next six months it is expected to rise to $60 or fall to $48. Assume the risk-free rate is zero. An investor sells call options with a strike price of $55. What is the value of each call option according to the one-step binomial model? Please enter your answer as a number rounded to two decimal places (with no dollar sign).

Suppose the table gives the number N(t), measured in thousands, of minimally invasive cosmetic surgery procedures performed in the United States for various years t.

t N(t)(thousands)

(b) Construct a table of estimated values for N'(t). (Use a one-sided difference quotient with an adjacent point for the first and last values, and the average of two difference quotients with adjacent points for all other values. Round your answers to two decimal places.)

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

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!

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.