Gestation Periods of Humans. For humans, gestation periods are normally distributed with a mean of 266 days and a standard deviation of 16 days. a. Use the technology of your choice to simulate 2000 samples of nine human gestation periods each.b. Find the sample mean of each of the 2000 samples.c. Obtain the mean, the standard deviation, and a histogram of the 2000 sample means.d. Theoretically, what are the mean, standard deviation, and distribution of all possible sample means for samples of size 9?e. Compare your results from parts (c) and (d).
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.
Gestation Periods of Humans. For humans, gestation periods are
a. Use the technology of your choice to simulate 2000 samples of nine human gestation periods each.
b. Find the sample mean of each of the 2000 samples.
c. Obtain the mean, the standard deviation, and a histogram of the 2000 sample means.
d. Theoretically, what are the mean, standard deviation, and distribution of all possible sample means for samples of size 9?
e. Compare your results from parts (c) and (d).
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