Normal and t-distribution Using the equations for normal and t-distribution, do the following. (DO NOT use the built-in function for normal and t-distribution. Use the corresponding equations of the distribution)1) Write a function to generate the normal distribution2) Write a function to generate the t-distribution for a given degree of freedom.3) Create a movie to show how the normal distribution compares with the t-distribution on varying the sample size.

Hypothesis Testing: Type out all the steps stating clearly your null and alternate hypothesis, type of tail as well your conclusion in terms of problem statement.

b) Solve the problem algebraically as well as using built-in functions in MATLAB. Your MATLAB code should be able to read a data file whenever data is provide

c) and compute necessary values and state the conclusion