MATH 314 Quiz 12

Given on 2025-10-21

Suppose .

1. Find, with pen and paper, the maximum likelihood estimate of given the data , assuming . Then type it up in in a Jupyter notebook.

2. Write the simplified log-likelihood function, in the variable , as a Python function appropriate for the Scipy function minimize.

3. Pick a value for and use it to generate some fake data from the Normal distirbution .

4. Use your data, the simplified log-likelihood function, and Scipy's function minmize to find the most likely value for $tex{\mu} based on your data.

5. Confirm your solution with your pen and paper solution from 1.