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An auditor reviewed 25 oral surgery insurance claims from the particular surgical office, finding 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 the violation of guideline that the average patient must pay no more than $250 out-of-pocket? State 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.:- M916851

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