Westonci.ca makes finding answers easy, with a community of experts ready to provide you with the information you seek. Join our Q&A platform and get accurate answers to all your questions from professionals across multiple disciplines. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.
Sagot :
Using z-scores, we find that:
- The z-score for the female is 0.07.
- The z-score for the male is 0.04.
- Thus, the female is relatively heavier.
-----------------------
The z-score of a measure X in a data-set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
- It measures how many standard deviations X is above or below the mean.
For the female, we have that:
- Mean weight of 156.5 pounds, thus [tex]\mu = 156.5[/tex].
- Standard deviation of 51.2 pounds, thus [tex]\sigma = 51.2[/tex]
- Weighs 160 pounds, thus [tex]X = 160[/tex], and the z-score is:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{160 - 156.5}{51.2}[/tex]
[tex]Z = 0.07[/tex]
The z-score for the female is 0.07.
For the male, we have that:
- Mean weight of 183.4 pounds, thus [tex]\mu = 183.4[/tex].
- Standard deviation of 40 pounds, thus [tex]\sigma = 40[/tex]
- Weighs 185 pounds, thus [tex]X = 185[/tex], and the z-score is:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{185 - 183.4}{40}[/tex]
[tex]Z = 0.04[/tex]
The z-score for the male is 0.04.
Due to the higher z-score, the female is relatively heavier.
A similar problem is given at https://brainly.com/question/15169808
We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. We appreciate your time. Please come back anytime for the latest information and answers to your questions. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.
