1. UOP QNT 561 Week 5 Team One-Sample
Hypothesis Testing (Election Results, SpeedX)
NEW
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QNT 561 Week 5 Team One-
Sample Hypothesis Testing (Election
Results, SpeedX) NEW
Learning team Paper
2. Part A : One-Sample Hypothesis Testing Cases
Purpose of Assignment
The purpose of this assignment is to develop
students' abilities to combine the knowledge of
descriptive statistics covered in Weeks 1 and 2 and
one-sample hypothesis testing to make managerial
decisions. In this assignment, students will learn
how statistical analysis is used in predicting an
election winner in the first case. In the
second case, students will conduct a hypothesis
test to decide whether or not a shipping plan
will be
profitable.
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Assignment Steps
Resources: Microsoft Excel®, Case Study Scenarios,
SpeedX Payment Times
3. Develop a 700- to 1,050-word statistical analysis
based on the Case Study Scenarios and SpeedX
Payment Times.
Include answers to the following:
Case 1: Election Results
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• Use 0.10 as the significance level (a).
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• Conduct a one-sample hypothesis test to
determine if the networks should announce at
8:01 P.M. the Republican candidate George W.
Bush will win the state.
Case 2:SpeedX
Use 0.10 and the significance level (a).
4. • Conduct a one-sample hypothesis test and
determine if you can convince the CFO to conclude
the plan will be profitable.
Format your assignment consistent with APA
format.
Case Study #1 - Election Results
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When an election for political office takes place, the
television networks cancel regular programming and
instead, provide election coverage. When the ballots
are counted, the results are reported. However, for
important offices such as president or senator in
large states, the networks actively compete to see
which will be the first to predict a winner. This is
done through exit polls, wherein a random sample of
voters who exit the polling booth is asked for whom
they voted. From the data, the sample proportion of
5. voters supporting the candidates is computed.
Hypothesis testing is applied to determine
whether there is enough evidence to infer the
leading candidate will garner enough votes to win.
Suppose in the exit poll from the state of Florida
during the 2000 year elections, the pollsters recorded
only the votes of the two candidates who had any
chance of winning: Democrat Al Gore and
Republican George W. Bush. In a sample of 765
voters, the number of votes cast for Al Gore was 358
and the number of votes cast for George W.■ M
Bush was 407. The network predicts the candidate as
a winner if he wins more than 50% of the votes. The
polls close at 8:00 P.M. Based on the sample results,
conduct a one-sample hypothesis test to determine if
the networks should announce at 8:01 P.M. the
Republican candidate George W. Bush will win the
state. Use 0.10 as the significance
level (a).
Case Study #2 - SpeedX
6. SpeedX, a large courier company, sends invoices to
customers requesting payment within 30 days.
The bill lists an address, and customers are expected
to use their own envelopes to return their payments.
Currently, the mean and standard deviation of the
amount of time taken to pay bills are 24 days and 6
days, respectively. The chief financial officer (CFO)
believes including a stamped self-addressed
envelope would decrease the amount of time. She
calculates the improvedm W m
cash flow from a 2-day decrease in the paymenty ■■ H mm mm m m m m. - ^ M ■ » m ^ m ^ m ■ — ■ ■■ ■ im.^i L. a m. JK ■ I
period would pay for the costs of the envelopes and
stamps. You have an MBA from the University of
Phoenix, and work for SpeedX as a business analyst.
One of your job duties is to run analytics and present
the results to the senior management for critical
decision-making. You see this as an opportunity to
utilize some of the skills you gained in the Statistics
course. Because of your strong understanding and
background in inferential statistics, you decide to
take up this important assignment. You have learned
any analysis in
7. inferential statistics starts with sampling. To test the
CFO's belief, you decide to randomly select 220
customers and propose to include a stamped self-
addressed envelope with their invoices. The CFO
accepts your proposal and allows you to run a pilot
study. You then record the numbers of days until
payment is received. Using your statistical expertise
and skills you gained in the class, conduct a one-
sample hypothesis test and determine if you can
convince the CFO to conclude that the plan will be
profitable. Use 0.10 and the
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