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Jinsi ya kukokotoa Confidence Interval

Confidence Interval ni nini?

A confidence interval (CI) gives a range of plausible values for a population parameter based on a sample. A 95% CI means: if we repeated this study many times, 95% of the resulting intervals would contain the true population value.

Mwongozo wa Hatua kwa Hatua

  1. 1Calculate the sample mean (x̄) and standard deviation (s)
  2. 2Determine the z* critical value for your confidence level (95% → z* = 1.96)
  3. 3Calculate standard error: SE = s / √n
  4. 4Margin of error: ME = z* × SE
  5. 5CI = (x̄ − ME, x̄ + ME)

Mifano Iliyotatuliwa

Ingizo
n=100, mean=50, SD=10, 95% CI
Matokeo
(48.04, 51.96)
ME = 1.96 × 10/√100 = 1.96
Ingizo
n=30, mean=75, SD=15, 99% CI
Matokeo
(67.94, 82.06)
ME = 2.576 × 15/√30 = 7.06

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