Two different running shoe manufacturers market running shoes to first time marathon runners.Swift claims a mean shoe life of 600 km,while Enduramax claims a shoe life of 650 km.If the standard deviation for both shoes is 51 km,which shoe would you purchase before starting your marathon training (where you figure to run 500 km)? Explain.
A)Swift.Swift shoes are -

\frac { 50 } { 17 }

standard deviations from the mean while Enduramax shoes are -

\frac { 100 } { 51 }

standard deviations from the mean.
B)Enduramax.Enduramax shoes are -

\frac { 50 } { 17 }

standard deviations from the mean while Swift shoes are -

\frac { 100 } { 51 }

standard deviations from the mean.
C)Swift.I only need to run 500 km and the Swift will last 100 km beyond that.
D)Enduramax.Enduramax shoes are -

\frac { 100 } { 51 }

standard deviations from the mean while Swift shoes are -

\frac { 50 } { 17 }

standard deviations from the mean.
E)Swift.Swift shoes are -

\frac { 100 } { 51 }

standard deviations from the mean while Enduramax shoes are -

\frac { 50 } { 17 }

standard deviations from the mean.

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