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One Sample Hypothesis Testing Paper
Century National Bank

Matt Steelhead

Submitted to

Yuri Sanchez, Ph.D

November 3, 2008

Introduction

A learning team from the University of Phoenix researched a problem that was presented from Century National Bank. Century National Bank conducted a study in regards to the use of its automatic teller machines (ATMs). Of particular interest is whether accountholders with balances less $1000, those with balances between $1000 and $2000, and those with balances over $2000 are most likely to execute a bank transaction using the machines.

To investigate further, samples of customers in each of the categories were selected. The number of ATM transactions last month was determined for each of the selected categories, and the results are shown below. At the .05 significance level bank management has requested the team conclude which category of accountholders is more likely to execute a bank transaction using the ATMs most.

When looking at the data presented the first hypothesis would lead most to believe that the accountholders with balances between 1000 and 2000 execute the most transactions using ATMs. In order to draw the strongest possible inferences to that hypothesis, it is imperative that the team utilizes the “Five-Step Process for Hypothesis Testing”, and narrow down the hypothesis to fit the standards for one-sample hypothesis testing.

Numerical & Verbal Hypothesis Statement

Based upon the data provided and the request from Century National Bank’s management the team has developed the following research question:

Are Century National Bank account holders with balances less than or equal to $2000 more likely to execute a bank transaction using ATMs then those with more than $2000?

When doing research the Team developed the following hypothesis.

• Null Hypothesis: Account holders that have 2000 dollars are more likely to use the ATM during the Month

Our

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