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  1. Prepare
  2. Tutorials
  3. 10 Days of Statistics
  4. Day 6: The Central Limit Theorem III
  5. Discussions

Day 6: The Central Limit Theorem III

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47 Discussions

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  • blackspring
     + 0 comments
    #py
m, std, n, z=500, 80, 100, 1.96
me=z*(std/n**.5)
print(round(m-me, 2), round(m+me, 2), sep='\n')

  • lucasopoka
     + 0 comments

    Solution:

    import math as m
mn, std, z = 500*100, 80*m.sqrt(100), 1.96
A, B = (mn-z*std)/100, (mn+z*std)/100
print(f'{A:.2f}\n{B:.2f}')

    Check:

    def cdf(mn, std, x):
    return 1/2 * (1 + m.erf((x-mn)/(std*m.sqrt(2))))
print(f'{cdf(mn, std, B*100) - cdf(mn, std, A*100):.2f}')

  • asilichenko
     + 0 comments
    int n = 100;
double meanN = 500;
double stdDevN = 80;
double z = 1.96;

double stdDev = stdDevN / Math.sqrt(n);
double delta = z * stdDev;

print(meanN - delta);
print(meanN + delta);

  • shashinp1996
     + 0 comments

    JS

     let arr = input.split(/[\n]/g);
     let a = parseFloat(arr[1]) - parseFloat(arr[4]) * parseFloat(arr[2]) / Math.sqrt(parseInt(arr[0]));
     let b = parseFloat(arr[1]) + parseFloat(arr[4]) * parseFloat(arr[2]) / Math.sqrt(parseInt(arr[0]));
     console.log(a.toFixed(2));
     console.log(b.toFixed(2));

  • pedrofalcao10
     + 0 comments
    import math

sample_size = int(input())
mean_pop = float(input())
std_dev = float(input())
dist_perc = float(input())
z = float(input())

A = mean_pop - z*std_dev/math.sqrt(sample_size)
B = mean_pop + z*std_dev/math.sqrt(sample_size)

print(round(A, 2))
print(round(B, 2))