GUI based number guessing game

Write a function named play-number-game that displays a window in which the user can play a simple number guessing game. The user is allowed to submit guesses by typing a number in a textbox and pressing a button. Each time the user submits a guess the GUI should update a status message that indicates whether the guess is invalid, too low, too high or correct.

The function play-number-game is passed a number in the range 0-100, this number is the actual answer used by the game. For example, if the function is called like this:

(play-number-game 87)

The user must try to guess the number 87. The game can also be called like this:

(play-number-game (floor (random 101)))

to use a random number as the correct answer.

The required functionality:

• The game should not display a window unless an integer between 0 and 100 (inclusive) is passed as the correct answer parameter. In this case you can use the error function to generate an error message that displays in DrScheme.

• If a valid number is passed to play-number-game, a window should pop up and allow the user to play the game.

• Initially the GUI should display some instructions, for example:

  

• If the user enters something that is not a number, the game must tell them so:

  

• If the user enters a number that is lower than the correct answer, or higher than the correct answer, the game must tell them so:

  
  

• If the user guesses the right number, the game must say so:

  
  

IMPORTANT! You must provide the function play-number-game (don't just write some code that allows the user to play the game without calling play-number-game).