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. i) Can you conclude that there is a significant increase in the lifespan of the men runners over the inactive men at a = 0.05? ii) Construct a 95% confidence interval for μ₁ - H₂.

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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.
i) Can you conclude that there is a significant increase in the lifespan of the men runners over
the inactive men at a = 0.05?
ii) Construct a 95% confidence interval for μ₁ - ₂.
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. i) Can you conclude that there is a significant increase in the lifespan of the men runners over the inactive men at a = 0.05? ii) Construct a 95% confidence interval for μ₁ - ₂.
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In hypothesis testing, there are always two hypotheses. These are null and alternative hypotheses. These two hypotheses contradict each other. That means, if one is rejected, that implies the other is accepted.

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