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8. Comparing reaction time (1.8) Catherine and Ana
suspect that athletes (i.e., students who have been on
at least one varsity team) typically have a faster reac-
tion time than other students. To test this theory, they
gave an online reflex test to 33 varsity athletes at their
school and 30 other students. The following parallel
boxplots display the reaction times (in milliseconds)
for the two groups of students. What do the data suggest about Catherine and Ana’s suspicion?Explain.

8 Comparing Reaction Time 18 Catherine And Ana Suspect That Athletes Ie Students Who Have Been On At Least One Varsity Team Typically Have A Faster Reac Tion Ti class=

Sagot :

From the given box and whisker plot, it can be concluded that since all the percentiles for the varsity students are less than the other students, leading to faster reactions, the data suggests that Catherine and Ana's suspicion is correct.

What does a box-and-whisker plot shows?

A box and whisker plot shows three things:

  • The 25th percentile, which is the median of the bottom 50%.
  • The median, which splits the entire data-set into two halfs, the bottom 50% and the upper 50%.
  • The 75th percentile, which is the median of the upper 50%.

For the reaction time of other students, we have that:

  • The 25th percentile is of approximately 250 ms.
  • The median is of approximately 300 ms.
  • The 75th percentile is of approximately 325 ms.

For varsity students, we have that:

  • The 25th percentile is of approximately 225 ms.
  • The median is of approximately 250 ms.
  • The 75th percentile is of approximately 300 ms.

Since all the percentiles for the varsity students are less than the other students, leading to faster reactions, the data suggests that Catherine and Ana's suspicion is correct.

More can be learned about box and whisker plots at https://brainly.com/question/27721471

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