The mean serum-creatinine level measured in 12 patients 24 hours after they received a newly proposed antibiotic was 1.2 mg/dL. 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. 2. What is the p-value for the test, and whether the mean serum-creatinine level in this group is different from that of the general population. 3. Suppose the sample standard deviation of serum creatinine in Problem 1 is 0.6 mg/dL. Assume that the standard deviation of serum creatinine is not known, What is the p-value for the test 4. Compute a two-sided 95% CI for the true mean serum-creatinine level in Problem 2. How does your answer to Problem 2 relate to your answer to Problem 3
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
1. The mean serum-creatinine level measured in 12 patients 24 hours after they received a newly proposed antibiotic was 1.2 mg/dL. 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.
2. What is the p-value for the test, and whether the mean serum-creatinine level in this group is different from that of the general population.
3. Suppose the sample standard deviation of serum creatinine in Problem 1 is 0.6 mg/dL. Assume that the standard deviation of serum creatinine is not known, What is the p-value for the test
4. Compute a two-sided 95% CI for the true mean serum-creatinine level in Problem 2. How does your answer to Problem 2 relate to your answer to Problem 3
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