Spectators are interested to know if the ages of gymnasts competing in the Canada Games are uniformly distributed. To investigate this hypothesis, we will consider the female gymnasts and male gymnasts who competed in the 2015 Team Competition as a sample of all Canada Games gymnasts. Female Gymnasts AgeMale Gymnasts Age1517161217171415161615161712141416171813131814141618141911171717141714141418121716181617141814171618161818151614131616181614171616161718171718141311161812171117181616141314151315131714151114131718181814131418151614151414111313141616131514 a) Construct a single histogram of the ages of all male and female gymnasts. What do you notice about the distribution of ages? Provide a possible explanation for what you observe.b) Should we reject or not reject the claim that the distribution of gymnasts’ ages is uniform at the 5% significance level? (Hint: Apply the ?2 test of goodness of fit.) Remember to state the hypothesis, state the formula, and show all steps in calculations. (Hint: Don't forget the ?2 critcal value.)

Give that: Female Gymnasts Age Male Gymnasts Age 15 17 16 12 17 17 14 15 16 16 15 16…

Answered: Spectators are interested to know if…

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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Spectators are interested to know if the ages of gymnasts competing in the Canada Games are uniformly distributed. To investigate this hypothesis, we will consider the female gymnasts and male gymnasts who competed in the 2015 Team Competition as a sample of all Canada Games gymnasts.

Female Gymnasts Age	Male Gymnasts Age
15	17
16	12
17	17
14	15
16	16
15	16
17	12
14	14
16	17
18	13
13	18
14	14
16	18
14	19
11	17
17	17
14	17
14	14
14	18
12	17
16	18
16	17
14	18
14	17
16	18
16	18
18	15
16	14
13	16
16	18
16	14
17	16
16	16
17	18
17	17
18	14
13	11
16	18
12	17
11	17
18	16
16	14
13	14
15	13
15	13
17	14
15	11
14	13
17	18
18	18
14	13
14	18
15	16
14	15
14	14
11	13
13	14
16	16
13	15
14

a) Construct a single histogram of the ages of all male and female gymnasts. What do you notice about the distribution of ages? Provide a possible explanation for what you observe.

b) Should we reject or not reject the claim that the distribution of gymnasts’ ages is uniform at the 5% significance level? (Hint: Apply the ?2 test of goodness of fit.) Remember to state the hypothesis, state the formula, and show all steps in calculations. (Hint: Don't forget the ?2 critcal value.)

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