Expert answer:Hypothesis
Solved by verified expert:Hypothesis, statistics
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Work Sheet #8
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Solution Key
The mean and standard deviation of serum creatinine in the general population are 1.0 and 0.4 mg/dL, respectively. The mean
serum creatinine level measured in 12 patients 24 hours after they
received a newly proposed antibiotic was 1.2 mg/dL. Has the antibiotic raised serum creatinine level? Use significance level α = .05.
Assume the standard deviation of serum creatinine among all patients receiving the newly proposed antibiotic is the same as the
general population.
1. H0 :
2. x̄ =
, H1 :
,σ=
3. If H0 is true, X is N (
, se) where se =
4. Using what H0 says about µ, label the center and points 1 se
from the center on the histogram above.
5. Identify where the observation x̄ is in the histogram.
6. Shade the portion of the histogram that represents sample
means more extreme than x̄.
7. Find the proportion of sample means more extreme than the
observed value x̄ – this is the P -value.
P (X > 1.2) = P (Z > 1.2−1.0
.1155 ) = P (Z > 1.73) = .0418.
8. Do you reject the null hypothesis?
Yes, since p-value = .0418 < .0500 = α.
BIOS 7021
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