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

Petersen''s factor theorem, Suppose the graph G is n-connected, regular of ...

Suppose the graph G is n-connected, regular of degree n, and has an even number of vertices. Prove that G has a one-factor. Petersen's 2-factor theorem (Theorem 5.40 in the note

Explain labour force survey, Labour force survey : This survey carried out ...

Labour force survey : This survey carried out in the UK on the quarterly basis since the spring of year 1992. It covers 60 000 households and gives labour force and other detail

Lagrange multipliertest, The Null Hypothesis - H0:  There is autocorrelatio...

The Null Hypothesis - H0:  There is autocorrelation The Alternative Hypothesis - H1: There is no autocorrelation Rejection Criteria: Reject H0 (n-s)R 2 > = (1515 - 4) x (0.

Cochrane collaboration, Cochrane collaboration : An international network o...

Cochrane collaboration : An international network of the individuals committed to preparing , maintaining and disseminating the systematic reviews of the effects of the health care

Bayesian network, Bayesian network : It is essentially an expert system in ...

Bayesian network : It is essentially an expert system in which the uncertainty is dealt with using the conditional probabilities and Bayes' Theorem. Formally such type of network c

Omitted covariates, Omitted covariates is a term generally found in the co...

Omitted covariates is a term generally found in the connection with regression modelling, where the model has been incompletely specified by not including significant covariates.

Projection pursuit, Projection pursuit is a procedure for attaning a low-d...

Projection pursuit is a procedure for attaning a low-dimensional (usually two-dimensional) representation of the multivariate data, which will be particularly useful in revealing

Negative binomial distribution, Negative binomial distribution is the prob...

Negative binomial distribution is the probability distribution of number of failures, X, before the kth success in the sequence of Bernoulli trials where the probability of succes

Hirap, #q A paper mill products two grade of paper viz., X & Y. Because of ...

#q A paper mill products two grade of paper viz., X & Y. Because of raw material restriction, it cannot produce more than 400 tons of grade X paper & 300 tons of grade Y paper in a

Probability., 5. Packages from a machine a normally distributed with a mean...

5. Packages from a machine a normally distributed with a mean 200g and its standard deviation 2grams. Find the probability that a package from the machine weighs a) Less than

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