Confidence interval estimation, Advanced Statistics

Assignment Help:

An auditor for a government agency needs to evaluate payments for doctors' office visits paid by Medicare in a small regional town during the month of June. A total of 25,056 visits occurred during June in this small regional town. The auditor wants to estimate the total amount paid by Medicare to within ± $5 with 95% confidence. On the basis of past experience, she believes that the standard  deviation is approximately $30.

(a) What sample size should she select?

Using the sample size selected in (a), an audit was conducted and it was found that the sample mean amount of reimbursement was $93.70 and the sample standard deviation was $34.55. In 12 of the office visits, an incorrect amount of reimbursement was provided. For the 12 office visits in which there was an incorrect reimbursement, the differences between the amount reimbursed and the amount that the auditor determined should have been reimbursed were as follows

$17 $25 $14 -$10 $20 $40 $35 $30 $28 $22 $15 $5

(b) Construct a 90% confidence interval estimate of the population proportion of reimbursements that contain errors.

(c) Construct a 95% confidence interval estimate of the population mean reimbursement per office visit.

(d) Construct a 95% confidence interval estimate of the population total amount of reimbursements for this small regional town.

(e) Construct a 95% confidence interval estimate of the total difference between the amount reimbursed and the amount that the auditor determined should have been reimbursed.


Related Discussions:- Confidence interval estimation

Explain Generalized poisson distribution, Generalized poisson distribution:...

Generalized poisson distribution: The probability distribution can be defined as follows:   The distribution corresponds to the situation in which the values of the rand

Data screening, The initial evaluation of the set of observations to see wh...

The initial evaluation of the set of observations to see whether or not they appear to satisfy the hypotheses or assumptions of the methods to be used in their analysis. Techniques

Regression analyze, I do have a data of real gdp for each state and from 20...

I do have a data of real gdp for each state and from 2000 to 2010 and I also have estimated population of illigel immigrants for each state from 2000 to 2010. In my thesis I am try

Pre analysis data screening, need answers to questions in book advanced and...

need answers to questions in book advanced and multivariate statistical methods

Ain why the simulated result doesn''t have to be exact as the, ain why the ...

ain why the simulated result doesn''t have to be exact as the theoretical calculation

Convex hull trimming, Convex hull trimming : A procedure which can be appli...

Convex hull trimming : A procedure which can be applied to the set of bivariate data to permit robust estimation of the Pearson's product moment correlation coef?cient. The points

Incidental parameter problem, Incidental parameter problem is a problem wh...

Incidental parameter problem is a problem which sometimes occurs when the number of parameters increases in the tandem with the number of observations. For instance, models for pa

Factor rotation, Generally the final stage of an exploratory factor analysi...

Generally the final stage of an exploratory factor analysis in which factors derived initially are transformed to build their interpretation simpler. Generally the target of the pr

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd