An auditor reviewed 22 oral surgery insurance claims from a particular surgical office, determining that the mean out-of-pocket patient billing above the reimbursed amount was $270.89 with a standard deviation of $76.48. At the 5 percent level of significance, does this sample prove a violation of the guideline that the average patient should pay no more than $250 out-of-pocket? (a-1) H0: μ ≤ $250 versus H1: μ > $250. Choose the right option.Reject H0 if tcalc < 1.721Reject H0 if tcalc > 1.721 multiple choice 1ab Correct (a-2) Calculate the test statistic. (Round your answer to 2 decimal places.) Test statistic (a-3) The null hypothesis should be rejected. multiple choice 2False CorrectTrue (a-4) The evidence does not show that the average out-of-pocket expense is greater than $250. multiple choice 3True CorrectFalse (b) Is this a close decision? multiple choice 4No CorrectYes

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Description: An auditor reviewed 22 oral surgery insurance claims from a particular surgical office, determining that the mean out-of-pocket patient billing above the reimbursed amount was $270.89 with a standard deviation of $76.48. At the 5 percent level of sig

Sample size = n = 22 Sample mean = x = $270.89 Standard deviation = s = $76.48. Level of…

Answered: An auditor reviewed 22 oral surgery…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 4GP

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An auditor reviewed 22 oral surgery insurance claims from a particular surgical office, determining that the mean out-of-pocket patient billing above the reimbursed amount was $270.89 with a standard deviation of $76.48.

At the 5 percent level of significance, does this sample prove a violation of the guideline that the average patient should pay no more than $250 out-of-pocket?

(a-1) H₀: μ ≤ $250 versus H₁: μ > $250. Choose the right option.

Reject H₀ if t_calc < 1.721
Reject H₀ if t_calc > 1.721

multiple choice 1

a
b Correct

(a-2) Calculate the test statistic. (Round your answer to 2 decimal places.)

Test statistic

(a-3) The null hypothesis should be rejected.

multiple choice 2

False Correct
True

(a-4) The evidence does not show that the average out-of-pocket expense is greater than $250.

multiple choice 3

True Correct
False

(b) Is this a close decision?

multiple choice 4

No Correct
Yes

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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