The
If the mean and standard deviation of serum creatinine in the general population are 1.0 and 0.4 mg/dL, respectively, then, using a significance level of .05, test whether the mean serum-creatinine level in this group is different from that of the general population.
Check whether the mean serum-creatine level of the patients is different from that of the general population.
Answer to Problem 1P
There is no sufficient evidence that the mean serum-creatine level of the patients is different from that of the general population at 5% level of significance.
Explanation of Solution
The mean serum-creatine level of the patients is 1.2 mg/dL and the population standard deviation is 0.4 mg/dL. A sample of 12 patients is selected.
The null hypothesis is as follows:
The mean serum-creatine level of the patients is not different from that of the general population.
The alternative hypothesis is as follows:
The mean serum-creatine level of the patients is different from that of the general population.
Test statistic:
The test statistic is calculated below:
Critical value:
From Standard normal distribution table, the z critical values corresponding to
Decision rule based on critical value approach:
If
If
Conclusion based on critical value approach:
The test statistic value is given as 1.732 and critical value is
That is,
By the rejection rule, do not reject the null hypothesis H0.
There is no sufficient evidence that the mean serum-creatine level of the patients is different from that of the general population at 5% level of significance.
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Chapter 7 Solutions
Fundamentals of Biostatistics
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