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Hypothesis testing for one sample t-test.

An auditor reviewed 25 oral surgery insurance claims from a particular surgical office, determining that the mean out-of-pocket patient billing above the reimbursed amount was $275.66 with the standard deviation of $78.11.

(a) 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? Condition your hypotheses and decision rule.

 (b) Is this a close decision?

 

Hypotheses:

H0: _ = 250 vs. _ > 250

Level of Significance:

5%

Decision Rule

Reject the null hypothesis if p-value < 0.05

Calculation:

Hypothesis Test: Mean vs. Hypothesized Value

Hypothesized value

250.0000

Mean Sample

275.6600

std. dev.

78.1100

std. error

15.6220

n

25

df

24

t

1.64

p-value (one-tailed, upper) 

.0568

 

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M918201

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