Lexical scoping in JavaScript refers to the way variable scope is determined by the placement of variables in the source code. Variables declared inside a function are accessible within that function, creating a hierarchy of scope. This helps prevent variable conflicts and promotes clean code.

When you use arr.push(x), it appends the element x to the end of the array and increases the length property of the array by 1. Therefore, the new element will be at the index arr.length - 1, which is one less than the new length. For example, if arr has a length of 5, arr.push(x) will add x at index 4.

A while loop is the most suitable option for this scenario. It allows continuous checking of the player's score without the need for a fixed number of iterations. The condition in the while loop can be based on the score threshold, ensuring players progress to the next level when their score is below the threshold. The other options do not provide a continuous loop structure required for this task.

In JavaScript classes, the constructor keyword is used to define the constructor method. This constructor method is automatically called when you create a new object from the class. It is used to initialize the object's properties and perform any setup required.

To handle multiple data types efficiently in a switch statement, you can create an array of functions, where each function corresponds to a specific data type. When you receive input, you can then call the appropriate function based on the data type, which offers more flexibility and avoids type conversion complexities.

To troubleshoot the issue of a variable not retaining an expected value within a nested function, you should explore the concept of lexical scoping. Lexical scoping (also known as static scoping) means that the scope of a variable is determined by its location within the source code, and nested functions have access to variables from their containing (parent) functions. This understanding will help you identify and fix the problem.

The splice() method should be avoided when removing elements from an array in a performance-critical application because it has a time complexity of O(n) due to the need to shift elements after the removal. Methods like pop() (O(1)), shift() (O(1)), or slice() (O(n)) may be more appropriate.

In a while loop, if you forget to update the condition, it can lead to an "infinite" loop, where the loop continues to execute indefinitely. This can cause the program to hang or become unresponsive. It's important to ensure that the loop's condition is updated to eventually become false.

The keyword used to stop a loop prematurely in JavaScript is "break." When "break" is encountered within a loop, it immediately exits the loop, even if the loop condition is still true or there are more iterations remaining. This is useful for early termination of a loop based on a specific condition. "continue" skips the current iteration and moves to the next one, while "exit" and "return" have different purposes and are not used for loop control.

The statusText property of the Response object represents the status text of the HTTP response. It provides a textual description of the HTTP status code, such as "OK" for status code 200 or "Not Found" for status code 404. This property is useful for understanding the meaning of the response status code in a more human-readable form.