Suppose that the lengths of human pregnancies are normally distributed with a mean of 266 days and a standard deviation of 16 days. Complete the following statements. (a) Approximately 95% of pregnancies have lengths between days and days. (b) Approximatel v ? | 314 days. of pregnancies have lengths between 218 days and 68% 75% 95% 99.7%
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.
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According to Empirical rule for the bell curves shows that
68% area lies between
95% area lies between
99.7% area lies between
Here we have,
The random variable
X= Length of human pregnancies
And given that,
X~N()
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