Task #3 Writing Output to a File 1. Copy the files StatsDemo.java (see Code Listing 4.2) and Numbers.txt from the Student Files or as directed by your instructor. 2. First we will write output to a file: a. Create a FileWriter object passing it the filename Results.txt (Dont forget the needed import statement). b. Create a PrintWriter object passing it the FileWriter object. c. Since you are using a FileWriter object, add a throws clause to the main method header. d. Print the mean and standard deviation to the output file using a three decimal format, labeling each. e. Close the output file. 3. Compile, debug, and run. You will need to type in the filename Numbers.txt. You should get no output to the console, but running the program will create a file called Results.txt with your output. The output you should get at this point is: mean = 0.000, standard deviation = 0.000. This is not the correct mean or standard deviation for the data, but we will fix this in the next tasks. Task #4 Calculating the Mean 1. Now we need to add lines to allow us to read from the input file and calculate the mean. a. Create a FileReader object passing it the filename. b. Create a BufferedReader object passing it the FileReader object. 2. Write a priming read to read the first line of the file. 3. Write a loop that continues until you are at the end of the file. 4. The body of the loop will: a. convert the line into a double value and add the value to the accumulator b. increment the counter c. read a new line from the file 5. When the program exits the loop close the input file. 6. Calculate and store the mean. The mean is calculated by dividing the accumulator by the counter. 7. Compile, debug, and run. You should now get a mean of 77.444, but the standard deviation will still be 0.000. Task #5 Calculating the Standard Deviation 1. We need to reconnect to the file so we can start reading from the top again. a. Create a FileReader object passing it the filename. b. Create a BufferedReader object passing it the FileReader object. 2. Reinitialize the sum and count to 0. 3. Write a priming read to read the first line of the file. 4. Write a loop that continues until you are at the end of the file. 5. The body of the loop will: a. convert the line into a double value and subtract the mean, store the result in difference b. add the square of the difference to the accumulator c. increment the counter d. read a newline from the file. 6. When the program exits the loop close the input file. 7. The variance is calculated by dividing the accumulator (sum of the squares of the difference) by the counter. Calculate the standard deviation by taking the square root of the variance (Use the Math.sqrt method to take the square root). 8. Compile, debug, and run. You should get a mean of 77.444 and standard deviation of 10.021. Code Listing 4.2 (StatsDemo.java) import java.util.Scanner; // TASK #3 Add the file I/O import statement here /** This class reads numbers from a file, calculates the mean and standard deviation, and writes the results to a file. */ public class StatsDemo { // TASK #3 Add the throws clause public static void main(String[] args) { double sum = 0; // The sum of the numbers int count = 0; // The number of numbers added double mean = 0; // The average of the numbers double stdDev = 0; // The standard deviation String line; // To hold a line from the file double difference; // The value and mean difference