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

Independent component analysis (ica), Independent component analysis (ICA) ...

Independent component analysis (ICA) is the technique for analyzing the complex measured quantities thought to be mixtures of other more fundamental quantities, into their fundamen

Consolidated standards for reporting trials (consort) , Consolidated Standa...

Consolidated Standards for Reporting Trials (CONSORT) statement : The protocol for reporting the results of the clinical trials. The core contribution of the statement comprises of

Quantitative Analysis for Management Chapter 4, 4-13. Students in a manage...

4-13. Students in a management science class have just received their grades on the first test. The instructor has provided information about the first test grades in some previou

Control group, In the experimental studies, the collection of individuals t...

In the experimental studies, the collection of individuals to which the experimental process of interest is not applied. In the observational studies, most often used for a collect

Protopathic bias, Protopathic bias is the type of bias (also called as rev...

Protopathic bias is the type of bias (also called as reverse-causality) that is a consequence of differential misclassification of the exposure related to timing of occurrence. It

Explain negative hyper geometric distribution, Negative hyper geometric dis...

Negative hyper geometric distribution : In sampling without replacement from the population comprising of r elements of one kind and N - r of another, if two elements corresponding

Explanatory analysis, This term is sometimes used for the analysis of data ...

This term is sometimes used for the analysis of data from the clinical trial in which treatments A and B are to be compared under the suppositions that the patients remain on their

Fuzzy set theory, A radically different approach of dealing with the uncert...

A radically different approach of dealing with the uncertainty than the traditional probabilistic and the statistical methods. The necessary feature of the fuzzy set is a membershi

Imprecise probabilities, Imprecise probabilities is a n approach used by s...

Imprecise probabilities is a n approach used by soft techniques in which uncertainty is represented by the closed, convex sets of probability distributions and the probability of

Explain Grade of membership model, Grade of membership model: This is the ...

Grade of membership model: This is the general distribution free method for the clustering of the multivariate data in which only categorical variables are included. The model ass

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