If we assume that the pH level of the stomach is a normally distributed random quantity with true mean and standard deviation 4, 0.6, respectively: a. What would be the distribution of the sample mean, X, based on a sample of size n=100? Justify your answers b. Suppose that we randomly picked n=100 individuals from the population above. How likely is it that the sample mean pH level based on those 100 individuals will fall between 3.9 and 4.01 units?

MATLAB: An Introduction with Applications
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If we assume that the pH level of the stomach is a normally distributed
random quantity with true mean and standard deviation 4, 0.6, respectively:
a. What would be the distribution of the sample mean, X, based on a sample
of size n=100? Justify your answers
b. Suppose that we randomly picked n=100 individuals from the population
above. How likely is it that the sample mean pH level based on those 100
individuals will fall between 3.9 and 4.01 units?
Transcribed Image Text:If we assume that the pH level of the stomach is a normally distributed random quantity with true mean and standard deviation 4, 0.6, respectively: a. What would be the distribution of the sample mean, X, based on a sample of size n=100? Justify your answers b. Suppose that we randomly picked n=100 individuals from the population above. How likely is it that the sample mean pH level based on those 100 individuals will fall between 3.9 and 4.01 units?
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