c) A research conducted by SSTA022 Class representative at the University of Limpopo indicatesthat running increases the lifespan among African men. The mean lifespan of 31 African menrunners was 34.0% more than the mean lifespan of 31 inactive African men, with variancesreported to be 110.25% and 104.04%, respectively. Assuming the populations to beapproximately normally distributed with equal variances.i) Can you conclude that there is a significant increase in the lifespan of the men runners overthe inactive men at a = 0.05?ii) Construct a 95% confidence interval for ₁ - M₂.

Answered: A research conducted by SSTA022 Class…

Applications and Investigations in Earth Science (9th Edition)

9th Edition

ISBN:9780134746241

Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa

Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa

Chapter1: The Study Of Minerals

Section: Chapter Questions

Problem 1LR

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Question

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 ₁ - M₂.

Expert Solution

Step 1

It can be found from the given observation that the mean of the lifespan of 31 active African men runners is 34% more than the mean lifespan of 31 inactive African men. Therefore, from the percentage it can be concluded that there is a considerable amount of increase in the lifespan of the 31 active African men runners. Moreover, the variance so obtained in case of the lifespan of the 31 active Arfican men runners, which is 110.25%, is more than the variance of the lifespan of the 31 inactive African men which is 104.04%. Therefore, it can also be concluded from here that there is a significant increase in the lifespan of the active African men runners.