Newborn babies: A study conducted by the Center for Population Economics at the University of Chicago studied the birth weights of 737 babies born in New York. The mean weight was 3490 grams with a standard deviation of 906 grams. Assume that birth weight data are approximately bell-shaped. QUESTIONS: (a) Estimate the number of newborns whose weight was less than 4396 grams. (b) Estimate the number of newborns whose weight was greater than 1678 grams. (c) Estimate the number of newborns whose weight was between 3490 and 5302 grams.
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.
Newborn babies: A study conducted by the Center for Population Economics at the University of Chicago studied the birth weights of 737 babies born in New York. The mean weight was 3490 grams with a standard deviation of 906 grams. Assume that birth weight data are approximately bell-shaped.
QUESTIONS:
(a) Estimate the number of newborns whose weight was less than 4396 grams.
(b) Estimate the number of newborns whose weight was greater than 1678 grams.
(c) Estimate the number of newborns whose weight was between 3490 and 5302 grams.
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