A local athletic facility offers a four-week training course, hoping to increase athletes’ running speeds. Thirty-five volunteer athletes are timed, in seconds, running a 50-yard dash before the training program begins and then again after the program is complete. The difference in running times (before training – after training) is calculated for each athlete. Are the conditions for inference met?No. The athletes who volunteered for this study were not randomly assigned a treatment order.No. The 10% condition is not met.No. The Normal/Large Sample condition is not met because the sample size is too small.Yes. All conditions are met. A local athletic facility offers a four-week training course, hoping to increase athletes' running speeds. Thirty-fivevolunteer athletes are timed, in seconds, running a 50-yard dash before the training program begins and then againafter the program is complete. The difference in running times (before training - after training) is calculated for eachathlete. Are the conditions for inference met?No. The athletes who volunteered for this study were not randomly assigned a treatment order.No. The 10% condition is not met.No. The Normal/Large Sample condition is not met because the sample size is too small.Yes. All conditions are met.

The conditions for inference are not met in this scenario. Firstly, the athletes in the study were…

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

A local athletic facility offers a four-week training course, hoping to increase athletes’ running speeds. Thirty-five volunteer athletes are timed, in seconds, running a 50-yard dash before the training program begins and then again after the program is complete. The difference in running times (before training – after training) is calculated for each athlete. Are the conditions for inference met?

No. The athletes who volunteered for this study were not randomly assigned a treatment order.

No. The 10% condition is not met.

No. The Normal/Large Sample condition is not met because the sample size is too small.

Yes. All conditions are met.

A local athletic facility offers a four-week training course, hoping to increase athletes' running speeds. Thirty-five
volunteer athletes are timed, in seconds, running a 50-yard dash before the training program begins and then again
after the program is complete. The difference in running times (before training - after training) is calculated for each
athlete. Are the conditions for inference met?
No. The athletes who volunteered for this study were not randomly assigned a treatment order.
No. The 10% condition is not met.
No. The Normal/Large Sample condition is not met because the sample size is too small.
Yes. All conditions are met.

Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.

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