added app.py and requirements.txt

app.py

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+import os
+import json
+import threading
+import gradio as gr
+import statistics
+from scipy import stats
+
+DATA_DIR = './storage'
+DATA_FILE = os.path.join(DATA_DIR, 'guesses.json')
+lock = threading.Lock()
+
+def ensure_data_directory():
+    os.makedirs(DATA_DIR, exist_ok=True)
+
+def load_guesses():
+    ensure_data_directory()
+    if not os.path.exists(DATA_FILE):
+        with open(DATA_FILE, 'w') as f:
+            json.dump([], f)
+    with open(DATA_FILE, 'r') as f:
+        return json.load(f)
+
+def save_guesses(guesses):
+    with open(DATA_FILE, 'w') as f:
+        json.dump(guesses, f)
+
+def add_guess(guess):
+    with lock:
+        guesses = load_guesses()
+        guesses.append(guess)
+        save_guesses(guesses)
+        
+        n = len(guesses)
+        average = sum(guesses) / n
+        
+        if n >= 2:
+            # Calculate sample standard deviation
+            s = statistics.stdev(guesses)
+            # Calculate standard error
+            SE = s / (n ** 0.5)
+            # Degrees of freedom
+            df = n - 1
+            # Confidence level (e.g., 95%)
+            confidence_level = 0.95
+            alpha = 1 - confidence_level
+            # Calculate critical t-value
+            t_value = stats.t.ppf(1 - alpha/2, df)
+            # Calculate margin of error
+            ME = t_value * SE
+            # Calculate confidence interval
+            ci_lower = average - ME
+            ci_upper = average + ME
+            # Prepare output message
+            return (
+                f"Your guess has been recorded.\n"
+                f"Current average of all guesses: {average:.2f}\n"
+                f"95% confidence interval: ({ci_lower:.2f}, {ci_upper:.2f})"
+            )
+        else:
+            # Not enough data to compute confidence interval
+            return (
+                f"Your guess has been recorded.\n"
+                f"Current average of all guesses: {average:.2f}\n"
+                f"Not enough data to compute confidence interval."
+            )
+
+demo = gr.Interface(
+    fn=add_guess,
+    inputs=gr.Number(label="Enter your guess"),
+    outputs="text",
+    title="Collective Guessing Game",
+    description="Submit your guess and contribute to the global average!"
+)
+
+
+demo.launch()

requirements.txt

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+gradio==5.4.0
+scipy==1.14.1