Asked by Jeannyn Salinas on Apr 27, 2024
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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 - 7562\frac { 75 } { 62 }6275 standard deviations from the mean while Swift shoes are - 5027\frac { 50 } { 27 }2750 standard deviations from the mean.
B) Enduramax.The Enduramax shoes have a longer mean shoe life.
C) Swift.Swift shoes are - 7562\frac { 75 } { 62 }6275 standard deviations from the mean while Enduramax shoes are - 5027\frac { 50 } { 27 }2750 standard deviations from the mean.
D) Swift.Swift shoes are - 5027\frac { 50 } { 27 }2750 standard deviations from the mean while Enduramax shoes are - 7562\frac { 75 } { 62 }6275 standard deviations from the mean.
E) Enduramax.Enduramax shoes are - 5027\frac { 50 } { 27 }2750 standard deviations from the mean while Swift shoes are - 7562\frac { 75 } { 62 }6275 standard deviations from the mean.
Standard Deviation
A statistic that quantifies the dispersion of dataset relative to its mean, showcasing how spread out the data points are.
Mean Shoe Life
The average lifespan of a shoe, measured by duration of usage before it becomes unwearable, typically calculated from a sample.
Marathon Training
A structured program of physical exercises and running practice aimed at preparing an individual to complete a marathon.
- Utilize statistical principles to inform decision-making in theoretical situations.
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Learning Objectives
- Utilize statistical principles to inform decision-making in theoretical situations.
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