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Santiago finished in 51st place among the men, with a time of 20.9 minutes. Keisha finished 33rd among women, with a time of 25.2 minutes. Use percentiles and z-scores to compare Santiago’s and Keisha’s relative standing among men and women, respectively use the information in the computer output above

User Jake L
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Final answer:

To compare Santiago's and Keisha's relative standing among men and women, we can use percentiles and z-scores.

Step-by-step explanation:

To compare Santiago's and Keisha's relative standing among men and women, we can use percentiles and z-scores.

User Realshadow
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If Santiago finished in 51st place among the men, with a time of 20.9 minutes. Santiago’s percentile is 22.2 and Keisha’s percentile is 32.6.

What is the percentile?

Santiago’s percentile is:

Percentile =50/225

Percentile = 22.2

z-score is:

z-score = (20.9 – 24.758)/5.026

z-score = –0.77

Keisha’s percentile is:

Percentile = 32/98

Percentile = 32.6

z-score:

z-score = (25.2 – 28.891)/6.481

z-score = –0.57.

Therefore since lower finish times are better Santiago tend to have a better finish among men than Keisha had among women.

The complete question is:

Scenario 2-5

Ninety-eight women and 225 men participated in a five kilometer road race. Below are summary statistics

from Minitab on their times in the race.

Descriptive Statistics: Women, Men

Variable N Mean StDev Minimum Q1 Median Q3 Maximum

Women 98 28.891 6.481 17.717 24.229 26.917 32.525 48.800

Men 225 24.758 5.026 15.050 21.117 24.050 27.608 48.417

Use Scenario 2-5. Santiago finished in 51st place among the men, with a time of 20.9 minutes. Keisha

finished 33rd among women, with a time of 25.2 minutes. Use percentiles and z-scores to compare Santiago’s and Keisha’s relative standing among men and women, respectively

User Eregrith
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