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
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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Question 16
![### Using Z Scores to Compare Newborn Weights
We 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fffc517a8-8d25-4dba-b5b9-bbe3039266d7%2Fbcd3f80e-6f6f-4cfc-92c5-a0173306cffd%2F2v5la6b_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Using Z Scores to Compare Newborn Weights
We 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.
Expert Solution
Step 1
The mean for males is 3209.4 and standard deviation is 744.8, the mean for females is 3023.6 and standard deviation is 566.1.
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