Calculating moving averages for stock prices, visualizing

Suppose you are given the following dataset containing closing prices of a stock across a number of days:

Using this dataset, add a column with the 3 and 5-day moving averages for the closing prices. Then, visualize the output with a line chart.

To help get you started, here is code to load the same dataset into a Pandas dataframe:

    
#code to generate example dataframe
    
import pandas as pd
    
raw_data = {'day': [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15], 
    
        'price': [119, 146, 147, 119, 102, 124, 148, 140, 133, 153, 155, 162, 150, 171, 167]
    
        }
    
df = pd.DataFrame(raw_data, columns = ['day', 'price'])
    

Solution will be written in Python for premium users.