Question 16 ### Using Z Scores to Compare Newborn WeightsWe are comparing newborn weights using Z scores to determine which case is more extreme relative to their group distribution.#### Given Data:- **Newborn Males:** - Mean weight: 3209.4 g - Standard deviation: 744.8 g- **Newborn Females:** - Mean weight: 3023.6 g - Standard deviation: 566.1 g#### Question:Who has the more extreme weight relative to their gender group?- A male weighing 1600 g- A female weighing 1600 g#### Calculation:To find out which newborn weight is more extreme, calculate the Z score for each case.1. **Calculate the Z score:** \[ Z = \frac{(X - \mu)}{\sigma} \] Where \(X\) is the individual weight, \(\mu\) is the mean weight, and \(\sigma\) is the standard deviation.2. **For the Male:** - \(X = 1600\) - \(\mu = 3209.4\) - \(\sigma = 744.8\)3. **For the Female:** - \(X = 1600\) - \(\mu = 3023.6\) - \(\sigma = 566.1\)#### Determine Extremity:By comparing the absolute values of the Z scores, identify which weight is more extreme. The dropdown suggests choosing between "female" and "male" based on the calculated Z scores.**Instructions to Calculate:**Enter the Z scores to two decimal places and determine which gender's case has the more extreme Z score.**Conclusion:**Use these Z score calculations to conclude which newborn weight is more extreme relative to the average weights in their respective gender group.

Use z scores to compare the given values. Based on sample data, newborn males have weights with a mean of 3209.4 g and a standard deviation of 744.8 g. Newborn females have weights with a mean of 3023.6 g and a standard deviation of 566.1 g. Who has the weight that is more extreme relative to the group from which they came: a male who weighs 1600 g or a female who weighs 1600 g? Since the z score for the male is z = (Round to two decimal places.) and the z score for the female is z= the has the weight that is more extreme. female male