A research conducted by SSTA022 Class representative at the University of Limpopo indicates that running increases the lifespan among African men. The mean lifespan of 31 African men runners was 34.0% more than the mean lifespan of 31 inactive African men, with variances reported to be 110.25% and 104.04%, respectively. Assuming the populations to be approximately normally distributed with equal variances. i) Construct a 95% confidence interval for μ₁ −μ₂.

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6b.STATISTICAL INFERENCE

A research conducted by SSTA022 Class representative at the University of Limpopo indicates
that running increases the lifespan among African men. The mean lifespan of 31 African men
runners was 34.0% more than the mean lifespan of 31 inactive African men, with variances
reported to be 110.25% and 104.04%, respectively. Assuming the populations to be
approximately normally distributed with equal variances.
i) Construct a 95% confidence interval for μ₁ - ₂.
Transcribed Image Text:A research conducted by SSTA022 Class representative at the University of Limpopo indicates that running increases the lifespan among African men. The mean lifespan of 31 African men runners was 34.0% more than the mean lifespan of 31 inactive African men, with variances reported to be 110.25% and 104.04%, respectively. Assuming the populations to be approximately normally distributed with equal variances. i) Construct a 95% confidence interval for μ₁ - ₂.
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Step 1

There are two independent samples which are active and inactive African men.

We have to construct 95% confidence interval.

This is two-independent sample t-test with pooled variances or Pooled independent sample t-test.

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