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Probability and Statistics for Engineering and the Sciences | 9th Edition | ISBN: 9781305251809 | Authors: Jay L. Devore
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For those of you who dont already know, dragon boatracing

Chapter 7, Problem 49

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QUESTION:

For those of you who dont already know, dragon boatracing is a competitive water sport that involves 20 paddlerspropelling a boat across various race distances. Ithas become increasingly popular over the last fewyears. The article Physiological and PhysicalCharacteristics of Elite Dragon Boat Paddlers (J.of Strength and Conditioning, 2013: 137145) summarizedan extensive statistical analysis of dataobtained from a sample of 11 paddlers. It reported thata 95% confidence interval for true average force (N)during a simulated 200-m race was (60.2, 70.6). Obtaina 95% prediction interval for the force of a single randomlyselected dragon boat paddler undergoing thesimulated race.

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QUESTION:

For those of you who dont already know, dragon boatracing is a competitive water sport that involves 20 paddlerspropelling a boat across various race distances. Ithas become increasingly popular over the last fewyears. The article Physiological and PhysicalCharacteristics of Elite Dragon Boat Paddlers (J.of Strength and Conditioning, 2013: 137145) summarizedan extensive statistical analysis of dataobtained from a sample of 11 paddlers. It reported thata 95% confidence interval for true average force (N)during a simulated 200-m race was (60.2, 70.6). Obtaina 95% prediction interval for the force of a single randomlyselected dragon boat paddler undergoing thesimulated race.

ANSWER:

Step 1 of 3

It is given that the 95% confidence interval for true average force (N) during a simulated 200-m race was (60.2, 70.6).

In order to compute prediction interval, it is necessary to calculate sample mean, sample standard deviation and the critical value of the given confidence interval.

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