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Payment Case

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Running head: THE PAYMENT CASE 1
The Payment Case
Name of Student
Name of Professor
Course Title
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THE PAYMENT CASE 2
Introduction
The main components of this report will entail computations and calculations to determine
and evaluate whether the new -billing for the consulting firms will have lowered the mean bill-
payment time or not. In our case, we will be making an assumption that the payment -times for all
payments will be maintained at 4.2 days. We will go further to calculate and construct a 95%
confidence-interval estimation as a way of determining if the new billing system was effective as
proposed (DeLillo, 2015). Additionally, our confidence-interval will also create an interpretation
of 95% of confidence-interval and explain whether or not the billing system was effective. In our
case, we will be using a 95% confidence-interval in determining if we can be 95% confident that
µ ≤ 19.5 days. Moreover, we will also use the 99% confidence-interval, and conclude if it possible
we could be 99% confident that µ ≤ 19.5 days. Lastly, our report will also evaluate and determine
if the average population mean-payment time is 19.5 days. We will also address the possibility of
observing a sample-mean payment-time of 65 invoices less than or equal to 18.1077 days.
Solution
Assuming the standard-deviation of the payment-times for all payments involved to be 4.2
days. We will be constructing a 95% confidence-interval and making estimations whether the
billing system will be effective or not.
EQUATION;
CI=X ± Z×α/ √ N
Confidence-Interval-Estimate for the Mean:

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Running head: THE PAYMENT CASE 1 The Payment Case Name of Student Name of Professor Course Title Date THE PAYMENT CASE 2 Introduction The main components of this report will entail computations and calculations to determine and evaluate whether the new -billing for the consulting firms will have lowered the mean billpayment time or not. In our case, we will be making an assumption that the payment -times for all payments will be maintained at 4.2 days. We will go further to calculate and construct a 95% confidence-interval estimation as a way of determining if the new billing system was effective as proposed (DeLillo, 2015). Additionally, our confidence-interval will also create an interpretation of 95% of confidence-interval and explain whether or not the billing system was effective. In our case, we will be using a 95% confidence-interval in determining if we can be 95% confident that µ ≤ 19.5 days. Moreover, we will also use the 99% confidence-interval, and conclude if it possible we could be 99% confident that µ ≤ 19.5 days. Lastly, our report will also evaluate and determine if the average population mean-payment time is 19.5 days. We will also address the possibility of observing a sample-mean payment-time of 65 invoices less than or equal to 18.1077 days. Solution Assuming the standard-deviation of the payment-times for all payments involved to be 4.2 days. We will be constructing a 95% confidence-interval and making estimations whether the billing system ...
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