Number of Ours Students Study

Per Week

A Term Paper

Presented to

Department of Business Administration

College of Business Administration

In Partial Fulfillment

Of the Requirement for

ECO 331: Business Statistics II

By

Friday April 11, 2003

Table of Contents

Abstract..1

Introduction….2

Methodology..2

Frequency Distribution..3

Descriptive Measures.3

Results4

Tables & Figures4-5

Reference6

Abstract

Given the data provided by the students from Alabama A&M University and Alabama State University, the following research was conducted. The number of hours students studied per week was gathered by questionnaires from a sample size of 20 students. The objective of this paper is to interpret all of the necessary qualitative and quantitative data and present in accurate mathematical computations and graphics. In order to do this we include all of the necessary analyses.

This report will perform the following statistical analyses:

OSummarize the variables under study graphically (frequency distribution, histogram, etc).

OTest the variables under study using descriptive statistics.

OTest of Hypothesis

OFor each classified group separately summarize the variable under study using the descriptive measures.

OCompare the descriptive measures of the groups.

OInterpret and draw conclusions from each analysis.

Introduction

In this research paper, two data sets have been taken from a statistical database and have been converted into tables and charts in order to relate the data in simpler form. The first set of variables that was gathered from the database was the number of hours an ASU students study. The database separated all of the information into four different set of number based on the number hours studied per-week.

The second set of numbers that were gathered from the database was the number of hours a A&MU students study. This data was also composed into two categories based on the total number of hours studied per-week.

METHODOLOGY

Data was retrieved from students that attend Alabama State University and Alabama A&M University. The variables represented were that of 20 students from each category and the hours they studied per week. All of the data collected are displayed in the rest of this research paper. A spreadsheets was created and the data was placed into its proper location based on the data that it included. This was used to show the information in a graphical sense in order to interpret all of the data in its simplest form.

Descriptive Measures

Sample Mean, Sample Variance, and Sample Standard Deviation and an assortment of others variables were used to conduct this research of hours students studied. All of the data was collected and put into separate categories where multiple statistical formulas were implemented into this research paper.

Those statistical formulas are:

Population Mean: mu: Black (2001, p78)

One Sample of size:Black (2001, p78)

Variance: Black (2001, p67)

2nd independent sample of size:Black (2001, p67)

Normal Population Mean:Black (2001, p66)

Variance: Black (2001, p67)

Normal Z-test formula:Black (2001, p78)

Results

Table-1 Figure-1

ASU A&MU

Mean11.78947Mean13.10526

Standard Error1.856833Standard Error2.048955

Median9Median10

Mode4Mode5

Standard Deviation8.093749Standard Deviation8.931186

Sample Variance65.50877Sample Variance79.76608

Kurtosis-0.46477Kurtosis-0.79894

Skewness0.565265Skewness0.591849

Range30Range28

Minimum0Minimum3

Maximum30Maximum31

Sum224Sum249

Count19Count19

Confidence Level(95.0%)3.901065Confidence Level(95.0%)4.304697

Hours of Study

ASUA&MU

1520

47

510

1110

2025

1822

05

43

75

43

78

95

93

415

2231

3028

1615

1916

2018

1719

Table – 2.

Z-Test: Two Sample for Means

z-Test: Two Sample for Means

ASUA&MU

Mean11.7813.10

Known Variance13

Observations2020

Hypothesized Mean Difference0

z18.7

P(Z