Question

1. Write a function that inputs the, n, the number of random trials for a standard normal distribution and then generates an array of n random observations (ie generate a random sample of n observations from a N(0,1) distribution. Then have the function perform a simple t-test on the sample, testing the null hypothesis that is mean 0. Have the function return two things: the results of the ttest and another variable that is set to the string= “reject” if the p-value is less than .1, and “not” if otherwise. Then call the function 20 times for n=25 and generate a new list that appends “reject” or “not reject” for each test. Comment on whether there is any rejection of the null or not and why this might be.

USING PYTHON ONLY

Answer 1

solution:

given data:

Python code:

SOURCE CODE:

import numpy as np
def fun():
arr=np.random.randn(1);
if(arr<0.1):
return arr,"reject";
else:
return arr,"not reject";
L=[];
for i in range(25):
res=fun();
L.append(res[1]);
print(L);

SOURCE CODE:

import numpy as np
def fun():
arr=np.random.randn(1);
if(arr<0.1):
return arr,"reject";
else:
return arr,"not reject";
L=[];
for i in range(25):
res=fun();
L.append(res[1]);
print(L);

OUTPUT:

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