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 kolmogorov smirnov two-sample method, Kolmogorov Smirnov two-sample...

Kolmogorov Smirnov two-sample method is a distribution free technique which tests for any difference between the two populations probability distributions. The test is relied on t

Parks test, The Null Hypothesis - H0: β 1 = 0 i.e. there is homoscedastici...

The Null Hypothesis - H0: β 1 = 0 i.e. there is homoscedasticity errors and no heteroscedasticity exists The Alternative Hypothesis - H1: β 1 ≠ 0 i.e. there is no homoscedasti

Descriptive , Assume that a population is normally distributed with a mean ...

Assume that a population is normally distributed with a mean of 100 and a standard deviation of 15. Would it be unusual for the mean of a sample of 20 to be 115 or more?

Tests for heteroscedasticity, Lagrange Multiplier (LM) test The Null Hy...

Lagrange Multiplier (LM) test The Null Hypothesis - H0: There is no heteroscedasticity i.e. β 1 = 0 The Alternative Hypothesis - H1:  There is heteroscedasticity i.e. β 1

Factor, The term used in a variety of methods in statistics, but mostly to ...

The term used in a variety of methods in statistics, but mostly to refer to the categorical variable, with a less number of levels, under examination in an experiment as a possible

Explain identification keys., Identification keys: The devices for identif...

Identification keys: The devices for identifying the samples from a set of known taxa, which contains a tree- structure where each node corresponds to the diagnostic question of t

Reasons for screening data, Reasons for screening data     Garbage i...

Reasons for screening data     Garbage in-garbage out     Missing data          a. Amount of missing data is less crucial than the pattern of it. If randomly

General location model, The model for data containing continuous and catego...

The model for data containing continuous and categorical variables both.The categorical data are summarized by the contingency table and their marginal distribution, 182by the mult

Leaps-and-bounds algorithm, Leaps-and-bounds algorithm is an algorithm whi...

Leaps-and-bounds algorithm is an algorithm which is used to ?nd the optimal solution in problems which might have a large number of possible solutions. Begins by dividing the poss

Define high-dimensional data, High-dimensional data : This term used for da...

High-dimensional data : This term used for data sets which are characterized by the very large number of variables and a much more modest number of the observations. In the 21 st

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