Two Different Running Shoe Manufacturers Market Running Shoes to First $\frac { 75 } { 62 }$

question 108

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 Swift shoes is 54 km and 124 km for Enduramax,which shoe would you purchase before starting your marathon training (where you figure to run 500 km) ? Explain.

• A)Enduramax.Enduramax shoes are - \(\frac { 75 } { 62 }\) standard deviations from the mean while Swift shoes are - \(\frac { 50 } { 27 }\) standard deviations from the mean.
• B)Enduramax.The Enduramax shoes have a longer mean shoe life.
• C)Swift.Swift shoes are - \(\frac { 75 } { 62 }\) standard deviations from the mean while Enduramax shoes are - \(\frac { 50 } { 27 }\) standard deviations from the mean.
• D)Swift.Swift shoes are - \(\frac { 50 } { 27 }\) standard deviations from the mean while Enduramax shoes are - \(\frac { 75 } { 62 }\) standard deviations from the mean.
• E)Enduramax.Enduramax shoes are - \(\frac { 50 } { 27 }\) standard deviations from the mean while Swift shoes are - \(\frac { 75 } { 62 }\) standard deviations from the mean.

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