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. ii) Construct a 95% confidence interval for μ₁ −μ₂.

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Chapter1: Combinatorial Analysis
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c) 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.
ii) Construct a 95% confidence interval for μ₁ −μ₂.
Transcribed Image Text:c) 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. ii) Construct a 95% confidence interval for μ₁ −μ₂.
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From the provided information,

n1=31n2=31x1-x2=34.0s12=110.25s22=104.04

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