MIME-Version: 1.0 Content-Type: multipart/related; boundary="----=_NextPart_01C55D4B.6080EEC0" This document is a Single File Web Page, also known as a Web Archive file. If you are seeing this message, your browser or editor doesn't support Web Archive files. Please download a browser that supports Web Archive, such as Microsoft Internet Explorer. ------=_NextPart_01C55D4B.6080EEC0 Content-Location: file:///C:/96CBC519/AngelaWhitney.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Angela & Whitney's project

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AP Statistics

Senior Absenteeism

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Angela Orlando

Whitney Miller

 

 

 

 

 

 

 

 

 

 

 

 

Disclaimer:

 

 = ;           Th= is study was done in an AP Statistics course with relatively small sample sizes.  The validity of such s= tudies must always be questioned.  Pl= ease keep this in mind if you use or report the results of this study.

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Abstract:=

 

 = ;           Th= is study was performed in order to compare senior girls’ absences to sen= ior boys’ absences at T= ates Creek High School.  For this study absences are defined as one full day of absence, excu= sed and unexcused.  It was expecte= d that girl seniors would have more absences than boy seniors because girls tendin= g to have more health issues, and mood swings, and are more emotional than boys.  The population of this = study consists of all Tates Creek Senior High School girls and boys.  To conduct this study a simple ran= dom sample was taken from this population.&nbs= p; To compare the average number of absences a two sample t-test was pe= rformed. 

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Methodology:

Do male or female students have more of a tend= ency to be absent their senior year of high school? To answer this question data= was gathered from both senior girls and senior boys. A list of all enrolled sen= iors was divided into male and female lists and numbered (female 001-204 and for males 001-168). A calculator using random integer generator preformed a sim= ple random sample. Thirty males and thirty females were chosen, sixty in all. B= oth SRS’s were selected independently. Each number corresponds to a name = that was given to the attendance clerk. The clerk then provided the total number= of full day absences each student had. The names of each student were omitted = for legal purposes; only the number of absences remained.

Since we have two independent samples for which the mean but not the standard deviation (σ sigma) is known a two sample t-test.

 

 

 

 

 

 

 

 

Exploratory Data Analysis:=

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Girl Seniors

Boy Seniors

5

7

7

26

14

10

7

19

5

12

3

34

13

38

9

2

20

19

6

7

13

10

14

12

0

12

6

1

5

8

7

12

5

1

5

10

27

2

13

22

27

7

12

15

8

7

14

13

22

1

11

15

42

32

24

6

13

12

11

16

<= span style=3D'font-size:16.0pt;line-height:200%'>(left) This is the data collect= ed for boys and girls absences. (above) Girls: center=3D12.267, shape is skewed to= the right, spread is 42 days and sigma=3D8.936. Boys: center=3D12.933, shape is= skewed to the right, spread is 37 days and sigma=3D 9.63.

 

Analysis and Inference:

 

        &= nbsp;   Assumptions for a Two Sample t-Test

ü      Independent Simple Random Samples

ü      Both samples have an approximate normal distribution.  Because t is ro= bust, even though the distributions are skewed to the right, we may proceed with cauti= on.

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Hypotheses:        &= nbsp;           &nbs= p;         Population: Tates Creek High School Seniors

Ho: µ1=3Dµ2&n= bsp;            = ;            &n= bsp;        µ1:<= span style=3D'mso-spacerun:yes'>  mean number of girl senior absence= s

Ha: µ1>µ2&= nbsp;           &nbs= p;            &= nbsp;        µ2: mean number of boy senior absences

 

t =3D     &= nbsp;           &nbs= p;            &= nbsp;           &nbs= p;            &= nbsp;    t =3D -.2777

t =3D     &= nbsp;           &nbs= p;            &= nbsp;           &nbs= p;   p=3D .6089

 

 

We fail to reject the null hypothesis, with a p-value of .6089 at the α= =3D.05 level, meaning that the data is not statistically significant.  The evidence is not strong enough = to support that there is a difference in the mean number of absences of boy and girl Tates Creek High School seniors.

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