The document describes an experiment conducted to analyze whether increasing the monitor size reduces document processing time. It provides details of the experiment such as the average processing time with a standard monitor (238.25 seconds), and with a larger monitor (190.58 seconds). It asks the reader to conduct a hypothesis test using a 95% confidence level to determine if the manager's conclusion that a larger monitor helps reduce processing time is correct. The reader is to complete 5 steps for the hypothesis testing: set up null and alternative hypotheses, decide significance level, calculate test statistics, compare to critical value, and state a conclusion.
Assignment details the below scenario describes a real world or
1. Assignment Details
The below scenario describes a real-world or business
application that utilizes statistical analysis to help resolve a
business problem: increasing efficiency by decreasing
processing time. Prepare an analysis by completing five steps of
the hypothesis testing with one sample. The report should be a
minimum of 5 pages in length.
Last week, your manager asked you to analyze staffing needs
for the Foreclosure Department. She was so impressed, and she
wants you to create another report for her. Her intention is to
decrease the processing time per document.
Based on last week's report, the average number of processed
documents per hour was 15.11, with a standard deviation of
2.666. That is, one document was reviewed in 238.25 seconds.
To be objective as much as possible, the manager spoke with an
employee whose average was exactly 15 documents per hour.
The employee claimed that if she was given a larger monitor,
the processing time would be shorter.
They conducted an experiment with a large monitor and
measured processing time. After reviewing 20 documents, the
calculated average processing time per document was 190.58
seconds. The manager believes that a bigger monitor helped
reduce the processing time for reviewing foreclosure
documents. Conduct a hypothesis test using a 95% confidence
level, which means that significance level a = 0.05.
Use the 5-step process, and explain each term or concept
mentioned in each section in the following.
Step 1: Set Up Null and Alternative Hypotheses
2. Based on the request description, explain if a one-tailed or two-
tailed test is needed. If a one-tailed test is needed, is it a left or
right-tailed test? Please explain why one alternative is better
than the other.
State both of the following hypotheses:
Null hypothesis
Alternative hypothesis
You will need the following information to progress to Step 2:
Standard deviation:
Explain what standard deviation is. Locate the calculated
standard deviation in the assignment description, and enter her e.
Random variable:
Explain what a random variable is. Locate it in the assignment
description, and enter here.
Test type:
Compare and contrast
t
-test and
z
-test. Once done, determine which one is appropriate for the
experiment given the fact that the sample size is less than 30.
Step 2: Decide the Level of Significance
3. Explain what the significance level is, and determine whether
the one used in the assignment description is high, medium, or
low. What does this significance level tell you about this test?
Locate the level of significance in the given scenario, and list it
in this step.
Significance level = ?
Determine the degree of freedom based on the number of
reviewed documents in the new experiment (
n
= 20) and based on the formula Degree of freedom =
n
– 1.
Degree of freedom = ?
Critical value = (You will need to use the
t
-table and find the intersection point between the degree of
freedom and the alpha value that is provided in the assignment
description.)
Step 3: Calculate the Test Statistics
Calculate the test statistics based on the test type determined in
Step 1.
If the determination was done correctly, you should use this
formula to calculate the test statistics.
Test statistics = ?
Step 4: Compare the Calculated Test Statistics and the Critical
Value
4. Construct a bell-shaped diagram showing the critical value and
the calculated test statistic.
Step 5: Reach a Conclusion
Was the manager's conclusion correct? Share your conclusions
on the assumptions in the scenario using the hypothesis testing
that you conducted in the previous four steps.
Use this
template
to complete your assignment.
Submitting your assignment in APA format means, at a
minimum, you will need the following:
Title page:
The title should be in all capitals.
Length:
5 pages minimum
Body:
This begins on the page following the title page and abstract
page and must be double-spaced (be careful not to triple- or
quadruple-space between paragraphs). The typeface should be
12-pt. Times Roman or 12-pt. Courier in regular black type. Do
not use color, bold type, or italics, except as required for APA-
level headings and references. The deliverable length of the
body of your paper for this assignment is 5 pages. In-body
academic citations to support your decisions and analysis are
required. A variety of academic sources is encouraged.
Reference page:
References that align with your in-body academic sources are
5. listed on the final page of your paper. The references must be in
APA format using appropriate spacing, hanging indent, italics,
and uppercase and lowercase usage as appropriate for the type
of resource used. Remember, the Reference page is not a
bibliography but a further listing of the abbreviated in-body
citations used in the paper. Every referenced item must have a
corresponding in-body citation.