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Dress code study. The method of random sampling in this investigation was cluster sampling. The population of our investigation was all ABC University female students. Since all ABC University female students stay in block 1, we took 20 students from thr

Extracts from this document...

Introduction

TABLE OF CONTENTS

CONTENT                                                                                PAGE

image00.png

Introduction                                                                                        2

Investigation 1:

Number of summons received by female student of ABC University        

        The Centre of a Distribution                                                            5

        The Variability (Spread) of a Distribution                                            7

        Conclusion                                                                          11

Investigation 2:

Restrictions that female ABC University students wish to abolish                          12

Restriction 1: Short Shirt (does not cover bottom)                                      13

        Restriction 2: Sleeves of shirt do not reach wrists                                  20

        Restriction 3: Too tight pants                                                              27

        Restriction 4: Pants shorter than ankle length                                              34

Investigation 3:

Number of restrictions that ABC University female students wish to abolish                  

The Centre of a Distribution                                                              42

        The Variability (Spread) of a Distribution                                          45

        Conclusion                                                                          47

Overall Conclusion                                                                          48

Introduction

        Certain attire restrictions are imposed on students of ABC University. Students who fail to abide the regulations will receive summonses from the security guards at ABC UNIVERSITY. Some students complain about the restrictions as they claim that the restrictions imposed are not reasonable. On the contrary, the authorities insist on upholding the rules as they intend to promote professionalism among the students. Therefore, it is the intention of our group to find out the number of summonses received by female students and which restrictions they think should be abolished. The four restrictions under investigation are restriction of wearing short shirt (does not cover bottom), shirt with sleeves which do not reach wrists, pants which are too tight, and pants which are shorter than ankle length.

        The method of random sampling in this investigation was cluster sampling. The population of our investigation was all ABC University female students. Since all ABC University female students stay in block 1, we took 20 students from three entrances each to fill in the questionnaire. The entrances were the first entrance, the forth entrance, and the sixth entrance. Hence, the sample size was 60. The questionnaire was as followed:-

Hello! We are doing a survey for our Mathematics project. Your help of answering the following questions is appreciated.

...read more.

Middle

 = 1 – image55.png

   = 1 – 0.583

   = 0.417

Confidence level = 95 %

Confidence interval

image95.pngimage41.png

image97.png

                                          0.459 < p < 0.708

We are 95% confident that the actual proportion of female ABC University who wishes to abolish the restriction of wearing short shirt which does not cover bottom lies between 45.9% and 70.8%.

The effect of increasing sample size, n on confidence interval

Consider samples of different size but all with p = 0.583 and q = 0.417 at 95% confidence level.

Sample size, n = 20                        

image41.png

image98.png

                                         0.367 < p < 0.799

Sample size, n = 40

image41.png

image99.png

                                         0.430 < p < 0.734

Sample size, n = 80

image41.png

image100.png

                                         0.475 < p < 0.691

Sample size, n = 100

image41.png

image101.png

                                         0.486 < p < 0.680

For various values of n we have:

Sample size, n

Confidence interval

20

0.367 < p < 0.799

40

0.430 < p < 0.734

60

0.459 < p < 0.708

80

0.475 < p < 0.691

100

0.486 < p < 0.680

We see that increasing the sample size, n produces confidence intervals for proportion of narrower width.

The effect of increasing confidence level on confidence interval

Consider different confidence level but all with p = 0.583 and q = 0.417 with sample size, n = 60.

Confidence level = 90%

image44.png

image103.png

                                          0.478 < p < 0.688

Confidence level = 98%

image46.png

image104.png

                                          0.435 < p < 0.731

Confidence level = 99%

image48.png

image105.png

                                          0.419 < p < 0.747

For various values of confidence level, we have:

Confidence level

a

Confidence interval

90%

1.645

0.478 < p < 0.688

95%

1.960

0.459 < p < 0.708

98%

2.326

0.435 < p < 0.731

99%

2.576

0.419 < p < 0.747

We see that increasing the confidence level produces wider confidence interval.

Conclusion

By using binomial distribution and normal approximation, we discover that the chance of majority of the female ABC University students who wish to abolish the restriction of wearing short shirt which does not cover bottom is 92.5%. This is supported by the fact that the estimated true proportion of female ABC University who wish to abolish the restriction of wearing short shirt which does not cover bottom lies between 45.9% and 70.8% at 95% confidence level. Although this

...read more.

Conclusion

        The second restriction most opposed by the female ABC UNIVERSITY students is the restriction of wearing shirts with sleeves do not reach wrists. This is again due to the inappropriateness of wearing shirts with long sleeves in the hot weather condition of Malaysia. The students may think that this restriction is impractical.

        On the contrary, only a small proportion of female ABC UNIVERSITY students intend to abolish the restriction of wearing pants which are too tight and shorter than ankle length. This maybe because these restrictions are reasonable and that they can be obeyed without much inconveniences.

        From our study, we found out that there were only a few students who received summonses from the period June 2005 to June 2006. This indicates that most student abide to the regulations of attire. However, most of the ABC University female students think that the restrictions imposed on them should be abolished. This shows that the students comply with the rules despite the fact that they are not satisfied with the restrictions.

        In conclusion, there are several suggestions that can be made to rectify the current situation.  Firstly, all the restrictions should be imposed on students within the ABC UNIVERSITY compound only. This is because proper dress code is vital in educational institutions to show respect to the lecturers and the school itself.  However, students should be allowed to wear casual attire and should not be bound to the restrictions during after school hours as long as the students are not scantily clad.

...read more.

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