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STAT200: Assignment #3 - Inferential Statistics Analysis and Writeup
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University of Maryland Global Campus
Assignment #3: Inferential Statistics Analysis and Writeup
Identifying Information
Student (Full Name):
Class:
Instructor:
Date:
Part A: Inferential Statistics Data Analysis Plan and Computation
Introduction: The annual income levels and annual expenditure on food and fruits are important
socioeconomic aspects of an economy. A clear understanding of these variables is essential in making
necessary social and economic policy as well as economic decisions. To understand these variables, it is
also essential to understand the nature of families in which the marital status of the respondents is
critical in providing illustrative and reliable information on these variables.
Variables Selected: “SE-Marital Status as the grouping variable, “USD-Food” and “USD-Fruit” as the
expenditure variables.
Table 1: Variables Selected for Analysis
Variable Name in the Data
Set
Variable Type
Description
Qualitative or
Quantitative
Variable 1: SE-Marital
Status
Socioeconomic
Marital status of the head of the
household
Qualitative
Variable 2: “USD-Food”
Expenditure
Total Amount of Annual
Expenditures on Food
Quantitative
Variable 3: “USD-Fruit
Expenditure
Total Amount of Annual
Expenditures on Fruits
Quantitative
Data Analysis: In this part, I will estimate the 95% confidence interval for the mean of the annual
expenditure on fruits.
1. Confidence Interval Analysis: For one expenditure variable, select and run the appropriate method
for estimating a parameter, based on a statistic (i.e., confidence interval method) and complete the
following table (Note: Format follows Kozak outline):
Table 2: Confidence Interval Information and Results

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STAT200: Assignment #3 - Inferential Statistics Analysis and Writeup
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Name of Variable: “USD-Food
State the Random Variable and Parameter in Words:
“USD-Food/x is the total annual expenditure on food, is the mean of this random variable
Confidence interval method including confidence level and rationale for using it:
For this estimation, I will use the t-Test with a 95% confidence interval, which is a natural candidate for
the estimation of a mean of normally distributed data.
State and check the assumptions for confidence interval:
A 95% confidence level is robust enough to provide a narrower range than the 99% level but with
greater accuracy than the 90% level.
Method Used to Analyze Data: I used Excel to analyze the data.
Find the sample statistic and the confidence interval:
From the sample: 
Statistics:

  


Confidence interval: 
Statistical Interpretation: There is a 95% chance that the average annual expenditure on food from the
sampled population is between 7997.21 and 9065.79 US Dollars.
2. Hypothesis Testing: Using the second expenditure variable (with socioeconomic variable as the
grouping variable for making two groups), select and run the appropriate method for making decisions
about two parameters relative to observed statistics (i.e., two sample hypothesis testing method) and
complete the following table (Note: Format follows Kozak outline):
Table 3: Two Sample Hypothesis Test Analysis
Research Question:
Do married people spend more on fruits per year than people who are not married?
Two Sample Hypothesis Test that Will Be Used and Rationale for Using It:
I will use the t-Test to compare the means of two independent normally distributed populations, and
because of this, it is the appropriate test.
State the Random Variable and Parameters in Words:
: the yearly spending on fruits from not-married people,
: the mean of this variable,
: the yearly spending on fruits from married people,
: the mean of this variable.
State Null and Alternative Hypotheses and Level of Significance:

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University of Maryland Global Campus Assignment #3: Inferential Statistics Analysis and Writeup Identifying Information Student (Full Name): Class: Instructor: Date: Part A: Inferential Statistics Data Analysis Plan and Computation Introduction: The annual income levels and annual expenditure on food and fruits are important socioeconomic aspects of an economy. A clear understanding of these variables is essential in making necessary social and economic policy as well as economic decisions. To understand these variables, it is also essential to understand the nature of families in which the marital status of the respondents is critical in providing illustrative and reliable information on these variables. Variables Selected: “SE-Marital Status” as the grouping variable, “USD-Food” and “USD-Fruit” as the expenditure variables. Table 1: Variables Selected for Analysis Variable Name in the Data Set Variable Type Description Qualitative or Quantitative Variable 1: “SE-Marital Status” Socioeconomic Marital status of the head of the household Variable 2: “USD-Food” Expenditure Total Amount of Annual Expenditures on Food Quantitative Variable 3: “USD-Fruit” Expenditure Total Amount of Annual Expenditures on Fruits Quantitative Qualitative Data Analysis: In this part, I will estimate the 95% confidence interval for the mean of the annual expenditure on fruits. 1. Confidence Interval Analysis: For one expenditure variable, select and run the app ...
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