Confidence Interval for Mean (Unknown Sigma)

Problem

Return the t confidence interval [mean - t*s/sqrt(n), mean + t*s/sqrt(n)] for the mean with unknown sigma, where s is the sample standard deviation. Return [0.0, 0.0] when n < 2.

Hint

Use the sample standard deviation and the supplied critical value.

Test cases

case 1

in: [[1,2,3,4,5],2.776]

expected: [1.0370715754261441,4.962928424573856]

case 2

in: [[2,4,4,4,5,5,7,9],2.365]

expected: [3.2122280426663554,6.787771957333645]

case 3

in: [[5],2]

expected: [0,0]

case 4

in: [[],2]

expected: [0,0]

case 5

in: [[1,3],12.706]

expected: [-10.706,14.706]

Starter codePython

def ci_mean_unknown_sigma(data, t_crit):
    # Your code here
    pass

5 test cases · run your code against them in the editor