Uploaded by Shubham Inavolu

Stats HW 6, Mini Project

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Evaluating Data for the Total Budget and
Funds of Banks
Shubham Inavolu
Chapter 1: Introduction
The World Bank Program Budget and All Funds are the administrative budget for
Bank Budget (BB) funds, Trust Funds, and Reimbursable Funds. BB funds are
authorized by the World Bank's Board of Directors, Trust Funds are financing
arrangements set up with contributions from one or more donors, including the World
Bank Group, to support development activities, and Reimbursable Funds are revenues
generated by the World Bank when costs incurred by the World Bank are reimbursed by
clients, donors, or others for operational and administrative services provided to clients
or for shared administrative costs based on negotiated cost-sharing agreements.
The data is from:
https://finances.worldbank.org/Budget/World-Bank-Program-Budget-and-All-Funds/9g9y
-b7rs
The variables are: Work Program Group, Work Program, Unit, Fiscal Year, Bank
Budget (BB) (US$, Millions), All Funds (US$, Millions). In this project, however,
the only variables that are useful are the year, bank budget, and all funds.
Chapter 2: Descriptive Analysis
This graph seems to be uni-modal with the mode being around 2016 and 2017.
The shape of the distribution seems to be right-tailed because it is steap as it
approaches the 2016, 2017 years, and gradually fades down.
This graph is much harder to tell, but it seems to also be unimodal around
2020. This graph, however, is left-tailed as it seems to gradually increase to the
mode, then exhibits a steep decline after.
Chapter 3: Inference Analysis
Next, two confidence interval tests were done on the bank budget variable. First
the range of values for a 95% confidence interval was found, then the range for the 99%
confidence interval. The 95% confidence interval for the Bank Budget is (34.5420,
45.4180), and the 99% confidence interval is (32.8496, 47.1104). Below the work that
was done can be seen.
Next, two hypothesis tests were created and examined.
For this hypothesis test, the null statement would be that the mean is 39.9839
million dollars for the bank budget. The alternate hypothesis is that the bank budget is
40 million. With this and the known information about the data, we can conclude that
this test produced a 0.992 significance level.
For this hypothesis test, we are looking at all the funds of the bank. Given that
the mean is 39.32 million dollars, the alternate hypothesis is that it equals 20. With the
test, we conclude that the significance level of this claim is only 0.04.
Chapter 4: Conclusion
For the first test, due to the findings having a significance level of 0.9920, we fail
to reject the hypothesis that the average budget of the banks in the data set is equal to
40 million dollars. For the second test, we reject the hypothesis that the average funds
of the banks in the data set are 20 million dollars due to a significance level of 0.04,
lower than the accepted value of 0.05.
References
Group, World Bank. “World Bank Program Budget and All Funds: WBG Open
Finances.” World Bank Program Budget and All Funds | WBG Open Finances, 7
Feb. 2022,
https://finances.worldbank.org/Budget/World-Bank-Program-Budget-and-All-Funds
/9g9y-b7rs.
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