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Q1) Auditor reviewed 25 oral surgery insurance claims from particular surgical office, finding \ the mean out-of-pocket patient billing above \ reimbursed amount was $275.66 with the standard deviation of $78.11.
(a) At 5% level of significance, does this sample prove violation of guideline that average patient must pay no more than $250 out-of-pocket? Write 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
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