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 significance level of .05, test whether the mean serum-creatinine level in this group is different from that of the general population.Suppose the sample standard deviation of serum creatinine in 3a is 0.6 mg/dL. Assume that the standard deviation of serum creatinine is not known. Perform a hypothesis test in 3a.Compute a two-sided 95% CI for the true mean serum-creatinine level in 3b.How does your answer to 3b relate to your answer to 3c?

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The mean serum-creatinine level measured in 12 patients 24 hours after they received a newly proposed antibiotic was 1.2 mg/dL.

1. If the mean and standard deviation of serum creatinine in the general population are 1.0 and 0.4 mg/dL, respectively, then, using significance level of .05, test whether the mean serum-creatinine level in this group is different from that of the general population.
2. Suppose the sample standard deviation of serum creatinine in 3a is 0.6 mg/dL. Assume that the standard deviation of serum creatinine is not known. Perform a hypothesis test in 3a.
3. Compute a two-sided 95% CI for the true mean serum-creatinine level in 3b.
4. How does your answer to 3b relate to your answer to 3c?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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