The finish times for women in the 25-29 age group of the Hermosa Beach Triathlon in California are normallydistributed with a mean of 5261 seconds and a standard deviation of 807 seconds.The finish times for men in the 30-34 age group of the same triathlon are normally distributed with a mean of 4313seconds and a standard deviation of 583 seconds.a) Use the Empirical Rule to determine between what two values we expect the middle 95% of the women's 25-29age group finish times to fall.• smaller time:(do not round your answer)• larger time:(do not round your answer)b) The slowest 10% of women's 25-29 fınish times are greater than what time?• z=(round to 2 decimal places)• finish time =(round to 2 decimal places)c) Adeline (female, age 24) finished the Hermosa Triathlon in 6448 seconds. Nael (male, age 31) fınished in 4854seconds. Obviously, Nael ran faster than Adeline, but they are curious about how they did within their respectiveage groups.• What is Adeline's standardized score? z =(round to 2 decimal places)• What is Nael's standardized score? z =(round to 2 decimal places)• Who did better (had a faster time) in their age group?(Type Adeline or Nael in the box. Becareful to spell the name correctly.)non

Name: The finish times for women in the 25-29 age group of the Hermosa Beac
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Description: The finish times for women in the 25-29 age group of the Hermosa Beach Triathlon in California are normallydistributed with a mean of 5261 seconds and a standard deviation of 807 seconds.The finish times for men in the 30-34 age group of the same tr

a).Given, For women, μw=5261σw=807 For men, μm=4313σm=583 Using empirical rule, the required middle 95% of the women 25-29 age group finish times falls- Smaller time: μ-2×σ=5261-2×807=3647Larger time:μ+2×σ=5261+2×807=6875 b).Now for slowest 10%,α=0.10 As per z-distribution table, the critical value of z for 0.10 level of significance is obtained as 1.28. Now, z=1.282x-μwσw=1.282x=1.282×σw+μwx=1.282×807+5261x=6295.574x~6295.57 The required finish time is 6295.57 seconds. c). Given, Adeline finished in 6448 seconds i.e. Xw=6448 and Nael finished in 4854 seconds i.e. Xm=4854 The required Adeline's standardized score is obtained as- zA=Xw-μwσw=6448-5261807=1.47 The required Nael's standardized score is obtained as- zN=Xm-μmσm=4854-4313583=0.93 Since zN<zA, therefore Nael did better in their age group.

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Statistics

The finish times for women in the 25-29 age group of the Hermosa Beach Triathlon in California are normally distributed with a mean of 5261 seconds and a standard deviation of 807 seconds. The finish times for men in the 30-34 age group of the same triathlon are normally distributed with a mean of 4313 seconds and a standard deviation of 583 seconds. a) Use the Empirical Rule to determine between what two values we expect the middle 95% of the women's 25-29 age group finish times to fall. • smaller time: (do not round your answer) • larger time: (do not round your answer)

The finish times for women in the 25-29 age group of the Hermosa Beach Triathlon in California are normally distributed with a mean of 5261 seconds and a standard deviation of 807 seconds. The finish times for men in the 30-34 age group of the same triathlon are normally distributed with a mean of 4313 seconds and a standard deviation of 583 seconds. a) Use the Empirical Rule to determine between what two values we expect the middle 95% of the women's 25-29 age group finish times to fall. • smaller time: (do not round your answer) • larger time: (do not round your answer)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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