Two Different Running Shoe Manufacturers Market Running Shoes to First $\frac { 50 } { 17 }$

question 61

Multiple Choice

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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