Question: Sample a random normal X=N(0,1) and Y=N (0,4)and determine if the null hypothesis is rejected using t.test for 100 different samples ofXandY. Report how many

Sample a random normal X=N(0,1) and Y=N (0,4)and determine if the null hypothesis is rejected using t.test for 100 different samples ofXandY. Report how many false positives (times the null is rejected)you got for the different values of alpha:=[.01, .05, .1, .25]. You may also use an equivalent distribution to generate your samples.

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