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.
“Since you have asked multiple question, we will solve the first question for you. If you
want any specific question to be solved then please specify the question number or post
only that question.”
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()
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
