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# STAT200: Assignment #3 - Inferential Statistics Analysis and Writeup Page 1 of 4 Assignment #3: Inferential Statistics Analysis and Writeup Part A: Inferential Statistics Data Analysis Plan and...

STAT200: Assignment #3 - Inferential Statistics Analysis and Writeup
Page 1 of 4
Assignment #3: Inferential Statistics Analysis and Writeup
Part A: Inferential Statistics Data Analysis Plan and Computation
Introduction:
Variables Selected:
Table 1: Variables Selected for Analysis
Variable Name in the Data Set
Variable Type
Description
Qualitative or Quantitative
Variable 1:
Socioeconomic
Variable 2:
Expenditure
Variable 3:
Expenditure
Data Analysis:
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
Name of Variable:
State the Random Variable and Parameter in Words:
Confidence interval method including confidence level and rationale for using it:
State and check the assumptions for confidence interval:
Method Used to Analyze Data:
Find the sample statistic and the confidence interval:
Statistical Interpretation:
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:
Two Sample Hypothesis Test that Will Be Used and Rationale for Using It:
State the Random Variable and Parameters in Words:
State Null and Alternative Hypotheses and Level of Significance:
Method Used to Analyze Data:
Find the sample statistic, test statistic, and p-value:
Conclusion Regarding Whether or Not to Reject the Null Hypothesis:
Part B: Results Write Up
Confidence Interval Analysis:
Two Sample Hypothesis Test Analysis:
Discussion:

STAT200: Assignment #3 - Inferential Statistics Analysis and Writeup - Instructions
Page 1 of 5
STAT200 Introduction to Statistics
Assignment #3: Inferential Statistics Analysis and Writeup
Purpose:
The purpose of this assignment is to develop and ca
y out an inferential statistics analysis plan and
write up the findings. There are two main parts to this assignment:
● Part A: Inferential Statistics Data Plan and Analysis
● Part B: Write up of Results
Part A: Prepare Data Plan, Analyze Data, and Complete Part A of the Assignment #3 Template
➢ Task 1: Select Variables. Review the variables you used for assignments #1 and #2. Select your
qualitative socioeconomic variable as your grouping variable and the two expenditure variables
from the variables used in these previous assignments. Fill in Table 1: Variables Selected for
Analysis with name, description, and type of variable (i.e., qualitative or quantitative).
➢ Task 2: Select and Run a One Sample 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). Complete Table 2: Confidence Interval Information and
Results, which follows the format outlined by Kozak and the course’s problem-solving approach,
including:
○ Random variable stated in words
○ Confidence interval method, including rationale and assumptions
○ Method used for analyzing data (i.e., web applets, Excel, TI calculator, etc.).
○ Results obtained
○ Interpretation

➢ Task 3: Select Two Sample Hypothesis Test. Using the second expenditure variable (with the
socioeconomic variable as the grouping variable), select and run the appropriate method for
making decisions about two parameters relative to observed statistics (i.e., two sample
STAT200: Assignment #3 - Inferential Statistics Analysis and Writeup - Instructions
Page 2 of 5
hypothesis test method). Complete Table 3: Two Sample Hypothesis Test Analysis, which
follows the format outlined by Kozak and the course’s problem-solving approach, including:
○ Hypotheses (null and alternative).
○ Two sample hypothesis testing method, including rationale and assumptions
○ Method used for analyzing data (i.e., web applets, Excel, TI calculator, etc.).
○ Results obtained.
○ Interpretation (i.e., Reject the null hypothesis OR Fail to reject null hypothesis)
Step 2: Write Up Results and Complete Part B of the Assignment #3 Template
For this 1 to 2 page section, refer to the inferential statistics data plan and computations done for Part A
of this assignment. Address the following area:
➢ Introduction. Based on the scenario you submitted for the second assignment, provide a
ief
description of scenario, including the variables that were used in this analysis. Include a
completed “Table 1: Variables Selected for Analysis to show the variables you selected for
analysis.
➢ Data Set Description and Method Used for Analysis. Briefly describe the data set, using
information provided with data set and write up in Assignment #2. Also describe what
method(s) (i.e., free web applets, Excel, TI Calculator) you used to analyze the data.
➢ Results. In this section, you will report the results of your inferential statistics data analysis.
For the Confidence Interval Analysis, write one paragraph that includes:
o Statistical method used, including rationale and whether assumptions were met.
o Statistical Interpretation. The statistical interpretation is that the confidence interval
has a probability (1−α, where α is the complement of the confidence level) of containing
the population parameter.
o Real World Interpretation. Explain the results in everyday language. Recommend
eviewing the text and information from the classroom for examples on how to report
esults in everyday language.
STAT200: Assignment #3 - Inferential Statistics Analysis and Writeup - Instructions
Page 3 of 5
For the Two Sample Hypothesis Test Analysis, write one paragraph that includes:
o Hypotheses that were assessed. See below table for example format:
Examples Format for Writing Null and Alternative Hypotheses, in Words
Null Hypothesis: There is no significant difference in [insert variable name]
etween [insert group 1 name] and [insert group 2 name] households.
Alternative Hypothesis:
➢ For two-tailed (≠): There is a significant difference in [insert variable
name] between [insert group 1 name] and [insert group 2 name]
households.
➢ For one-tailed (>): [Insert group 1 name] has statistically significantly
higher [insert variable name] than [insert group 2 name].
➢ For one-tailed (<): [Insert group 1 name] has statistically significantly
lower [insert variable name] than [insert group 2 name].
o Statistical method used, including rationale and whether assumptions were met. See
elow table for example format:
Example Format for Writing Statistical Method with Rationale
To determine whether the there was a difference in [insert household expenditure]
etween [insert names of two groups), a [insert name of hypothesis test used] was
used. It was the appropriate statistical method, because [insert rationale]. The
assumptions were assessed [insert information about the assumptions assessed and
whether they were met].
o Conclusion from the Results. This is where you state whether to reject Ho or fail to
eject Ho including the p-value that was obtained. The rule is: if the p-value < α, then
eject Ho. If the p-value ≥α, then fail to reject Ho.
STAT200: Assignment #3 - Inferential Statistics Analysis and Writeup - Instructions
Page 4 of 5
o Real World Interpretation. Explain, in everyday language, the results. If any of the
assumptions were not met, describe how it might affect conclusions. Address issues of
Type I and/or Type II E
or, where appropriate. Recommend reviewing the text and
information from the classroom for examples on how to report results in everyday
language.
➢ Discussion– Write one paragraph that summarizes the results of your findings and how they
may be helpful to the person described in the scenario, when making a household budget.
Assignment Submission: Name the file that contains your completed Assignment #3 Inferential
Statistics Analysis - Template using the following format: “Assignment3-StudentLastName.” Submit it
via the Assignments area in the LEO classroom in the “Assignment #3: Inferential Statistics Analysis and
Writeup” folder.

ic for Assignment #3
Part A: Prepare Data Plan, Analyze Data, and Complete Part A of the Template
Selection of variables and completion of table 10%
Selection and Calculation of Confidence Interval Analysis:
● Selection of Appropriate Test and Rationale
● Assumptions
● Method Used and Calculation
● Conclusion
● Statistical Interpretation
20%
Selection and Calculation of Two Sample Hypothesis Test:
● Research Question and Hypotheses
● Selection of Appropriate Test and Rationale
● Assumptions
● Method Used and Calculation
● Conclusion, including p-value
● Statistical Interpretation
20%
Part B: Write Up of Results
Introduction and Description of Data Set 5%
STAT200: Assignment #3 - Inferential Statistics Analysis and Writeup - Instructions
Page 5 of 5
Confidence Interval. Summarized:
● Statistical method used, including rationale and whether assumptions were met
● Statistical Interpretation
● Real World Interpretation.
15%
Two Sample Hypothesis Test. Summarized:
● Hypotheses
● Statistical method used, including rationale and whether assumptions were met.
● Conclusion from the Results.
● Real World Interpretation.
15%
Discussion 5%
Wrote clearly, concisely, and with few e
ors.
Easy to understand.
10%
Answered Same Day Aug 03, 2021

## Solution

Biswajit answered on Aug 05 2021
STAT200: Assignment #3 - Inferential Statistics Analysis and Writeup
Page 1 of 4
Assignment #3: Inferential Statistics Analysis and Writeup
Part A: Inferential Statistics Data Analysis Plan and Computation
Introduction: The data is a random sample from the US Department of Labor’s 2016 Consumer Expenditure Surveys (CE) and provides information about the composition of households and their annual expenditures.it contains 30 household data.It was conducted in 2016.
4 socio economic variables & 4 household expenditure heads data have been captured for 30 households.
Variables Selected:
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 expenditure on food
Quantitative
Variable 3:USD meat
Expenditure
Total amount of annual expenditure on meat
Quantitative
Data Analysis:
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
Name of Variable:USD Food
State the Random Variable and Parameter in Words:
This variable USD food represents total annual expenditure of a household on food.here we will estimate the mean/average
Confidence interval method including confidence level and rationale for using it:
We will use the confidence interval method using t statistic as population standard deviation is not known here.While the data is not normal,we can still assume t distribution as there are minimum 30 data points.results need to be carefully interpreted as histogram shows right skewed distribution.we will take alpha =0.05 as it is usually taken between 0.01-0.1.Rationale is we want maximum type 1 e
or as 0.05.
State and check the assumptions for confidence interval:
Data should be normal (but here data is not normal & rather right skewed)
data points should be independent (here condition is met as different households are surveyed
data should be random & less than 10 % of population (here this condition is met)
Data points or sample size must be adequately large enough (here data points are 30 just enough from statistical analysis point of view )
Method Used to Analyze Data:
Here t distribution is assumed & t statistic is used as population standard deviation is not known & sample size is just adequate.All calculations done in excel.
Find the sample statistic and the confidence interval:
Average/Mean
8500
standard deviation
1717
t stat @ 0.025/29
-2.05
sample size
30
degree of freedom
29
LCL
7859
UCL
9141
Statistical Interpretation: mean annual household expenditure on food is 8500 & lies between 7859 to 9141 .So there is a 95% probability that the population mean of annual household food expenditure...
SOLUTION.PDF