At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Get quick and reliable solutions to your questions from knowledgeable professionals on our comprehensive Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly 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
Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.
