The average gestational age (time from conception to birth) of a newborn infant is 40 weeks. The following table presents the gestational age in weeks (?) and the corresponding birth weight in pounds (?) for 14 female infants born in the US. ? 36 37 32 36 41 39 38 40 42 32 31 37 39 41 ? 7.2 7.5 5.1 5.9 8.9 7.8 7.2 8.0 8.8 4.2 3.9 6.9 7.8 9.1
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.
27. The average gestational age (time from conception to birth) of a newborn infant is 40 weeks. The following table presents the gestational age in weeks (?) and the corresponding birth weight in pounds (?) for 14 female infants born in the US.
|
? |
36 |
37 |
32 |
36 |
41 |
39 |
38 |
40 |
42 |
32 |
31 |
37 |
39 |
41 |
|
? |
7.2 |
7.5 |
5.1 |
5.9 |
8.9 |
7.8 |
7.2 |
8.0 |
8.8 |
4.2 |
3.9 |
6.9 |
7.8 |
9.1 |
(a) Compute the
(b) Which one of the following is the best interpretation of the correlation coefficient?
which one is the best interpretation?
I. Given two newborn baby girls, the one with the one that weighs more is likely to have a higher gestational age.
II. As the newborn baby girl weights go up, the gestational age will increase.
III. Given two newborn baby girls, the one with the higher gestational age is likely to weigh more.
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