Here is the code for Examine1:
```
import java.util.Scanner;
public class Examine1 {
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int n;
double sum = 0;
double average;
System.out.print("How many numbers would you like to enter? ");
n = sc.nextInt();
for (int i = 1; i <= n; i++) {
System.out.print("Enter number " + i + ": ");
double num = sc.nextDouble();
sum += num;
}
average = sum / n;
System.out.printf("The sum of the numbers is %.2f and the average is %.2f", sum, average);
sc.close();
}
}
```
And here is the code for Examine2:
```
import java.util.Scanner;
public class Examine2 {
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int n;
double sum = 0;
double average;
int countNegatives = 0;
System.out.print("How many numbers would you like to enter? ");
n = sc.nextInt();
for (int i = 1; i <= n; i++) {
System.out.print("Enter number " + i + ": ");
double num = sc.nextDouble();
if (num < 0) {
countNegatives++;
}
sum += num;
}
average = sum / n;
System.out.printf("The sum of the numbers is %.2f and the average is %.2f\\", sum, average);
System.out.println("Number of negative numbers entered: " + countNegatives);
sc.close();
}
}
```
In Examine2, we added a variable `countNegatives` to keep track of the number of negative numbers entered by the user. We used an `if` statement to check if each number entered was negative, and if so, we incremented the counter. Finally, we printed out the total number of negative numbers entered.