By: Thu-Anh Le, Lily Han & Samantha Haber

Introduction

Typically, in society, when it comes to physical appearances and looks, it is believed that females spend more time grooming than males

In addition, females are believed to sleep more than males in order to maintain their beauty sleep

Overview of our projectOverview of our project

Since this tends to be society’s belief, we were interested in finding out how true these statements were when applied to the UOP campus.

Therefore, our project is testing to see if:– The mean minutes that females spend grooming

in the morning is greater than the mean minutes that males spend grooming in the morning.

– The mean hours of sleep that females get a day is greater than the mean hours of sleep that males get a day

Our Questions

Do females spend more time than males grooming in the morning?

Do females get more hours of sleep a day than males?

Example of our Survey

How Statistics Can Help Us Find an Answer?

The different data that we have collected on the amount of time spent on grooming and sleeping of college students was used to find out if there is a difference in amount of time spent grooming in the morning and sleeping for different genders

A independent analysis was used to determine whether or not the stereotype is true that females spend more time grooming and sleeping than males

A Z distribution was used since we had a sample size of more than 30

What is Considered Grooming?

Females Brushing Teeth Combing Hair Hair spraying Washing Face Shaving Applying Makeup Applying Lotion Showering

Males Applying Cologne Shaving Brushing Teeth Combing Hair Gel Hair Washing Face Showering Applying Aftershave

Defining our Parameters

Collected data from 38 females and 32 males in the library and on our online survey site.

Defining the sample means as: µ1= mean minutes that females spend grooming in the morning

µ2= mean minutes that males spend grooming in the morning

The null and alternative hypothesis are as follows:Ho: µ1 = µ2; µ1 – µ2 = 0Ha: µ1 > µ2; µ1 – µ2 > 0

We predict that females spend more time grooming than males

Defining our Parameters

We collected data from 38 females and 32 males in the library and on our online survey site.

Defining the sample means as: µ1= mean hours of sleep that females get a day

µ2= mean hours of sleep that males get a day

The null and alternative hypothesis are as follows:Ho: µ1 = µ2; µ1 – µ2 = 0Ha: µ1 > µ2; µ1 – µ2 > 0

We predict that females get more hours of sleep a day

Data for Females

Gender Hours of Sleep Minutes Spent GroomingF 6 15F 7.5 25F 7 15F 6 15F 6 10F 5 35F 8.5 3F 5 30F 5.5 30F 6 10F 8 45F 8 10F 8 60F 7 90F 5 45F 8 90F 7 15F 8 45F 6 30F 8 20F 6 30F 7 15F 7 20F 5 45F 6 20F 7 45F 8 45F 7 25F 4.5 25F 6.5 60F 5 1F 4 20F 4.5 10F 7 20F 6 30F 6.5 30F 8 15F 7 20

Data for Males

Gender Hours of Sleep Minutes Spent GroomingM 6.5 5M 6.5 10M 4 3M 4 5M 8 15M 6 40M 6 30M 7 30M 6 10M 4.5 20M 6 50M 5 80M 7 30M 7 20M 6 15M 6 30M 6 1M 5.5 15M 6 15M 7 5M 5 10M 5 4M 8 50M 8 30M 5.5 30M 7 15M 7 30M 6.5 30M 5 10M 7 5M 8 4M 7 3

Calculations

Two-Sample Z-Test: Minutes Spent Grooming, Gender Two-sample Z for Minutes Spent Grooming Gender N Mean StDev F 38 29.31579 20.50195 M 32 20.31250 17.48075 Difference = mu (F) - mu (M) Rejection Region: Z > 1.645 Z Test of difference = 0 (vs >): Z-Value = 1.98 P-Value = 0.0239 95% Confidence Interval: (0.105, 17.901).

Calculations

Two-Sample Z-Test: Hours Spent Sleeping, Gender Two-sample Z for Hours Spent Sleeping Gender N Mean StDev F 38 6.513158 1.205207 M 32 6.21875 1.106706 Difference = mu (F) - mu (M) Rejection Region: Z > 1.645 Z Test of difference = 0 (vs >): Z-Value = 1.06 P-Value = 0.1446 95% Confidence Interval: (-0.248, 0.837).

Data for Minutes of Grooming

Minutes of Grooming of Females VS. Males

0

5

10

15

20

25

0-20 21-40 41-60 61-80 81-100

Range (Minutes of Grooming)

Co

un

t

Female

Male

Data for Hour Spent Sleeping

Hours of Sleep of Females VS. Males

0

5

10

15

20

25

0.0-2.0 3.0-4.0 5.0-6.0 6.0-8.0 8.0-10.0

Range (Hours of Sleep)

Co

un

t

Female

Male

Conclusion for Minutes Spent Grooming

Since the observed Z of 1.98 falls within the rejection region of Z > 1.645, we reject the Ho, therefore females do spend more time grooming than males.

Since the p-value of 0.0239 is less than the 0.05 level of significance, we reject the Ho.

We are 95% confident that (µ1 - µ2) will be in the interval (0.105, 17.901).

Conclusion for Hours Spent Sleeping

Since the observed Z of 1.06 doesn’t fall within the rejection region of Z > 1.645 we fail to reject the Ho. Therefore, there isn’t a significant difference between the hours of sleep that males & females get.

Since the p-value of 0.1446 is greater than the 0.05 level of significance, we fail to reject the Ho.

We are 95% confident that (µ1 -µ2) will be in the interval (-0.248, 0.837).

Since 0 is a possible value in the interval (-0.248, 0.837), (µ1 -µ2) may be equal to 0, meaning that µ1 may be equal to µ2, therefore we fail to reject the Ho and there isn’t a significant difference between the hours of sleep that male and females get.

Conclusion For Grooming

UOP Campus

Females Males

Groom lessGroom more