You are practicing in a state that has a mandated length of stay for birthing mothers of 48 hours, if the mother so wishes. You are interested in determining how much variability there is in length of stay and if most mothers are staying the requisite length of time. The following data have been collected measuring length of stay on an obstetrical unit. Length of stay is measured in hours from the mother's admission until the mother's discharge (even if the baby must stay in the nursery). ID Number Length of Stay 012672 034157 021256 012178 019872 024678 078987 097866 097854 078654 067543 067543 076865 016754 068654 027865 056432 037654 035627 036579 56 36 32 40 30 26 52 38 32 28 52 38 30 45 42 40 68 72 32 46 1. Calculate a mean length of stay in hours. 2. Calculate the standard deviation for length of stay in hours. 3. Calculate the coefficient of variation for length of stay in hours. 4. What is the Z score (standardized score) for a mother who stays 48 hours? 5. Are most of our mothers staying the requisite 48 hours?
You are practicing in a state that has a mandated length of stay for birthing mothers of 48 hours, if the mother so wishes. You are interested in determining how much variability there is in length of stay and if most mothers are staying the requisite length of time. The following data have been collected measuring length of stay on an obstetrical unit. Length of stay is measured in hours from the mother's admission until the mother's discharge (even if the baby must stay in the nursery). ID Number Length of Stay 012672 034157 021256 012178 019872 024678 078987 097866 097854 078654 067543 067543 076865 016754 068654 027865 056432 037654 035627 036579 56 36 32 40 30 26 52 38 32 28 52 38 30 45 42 40 68 72 32 46 1. Calculate a mean length of stay in hours. 2. Calculate the standard deviation for length of stay in hours. 3. Calculate the coefficient of variation for length of stay in hours. 4. What is the Z score (standardized score) for a mother who stays 48 hours? 5. Are most of our mothers staying the requisite 48 hours?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:### Measures of Central Tendency and Variability
**Introduction:**
You are practicing in a state that has a mandated length of stay for birthing mothers of 48 hours if the mother so wishes. You are interested in determining how much variability there is in the length of stay and if most mothers are staying the requisite length of time. The following data have been collected measuring the length of stay on an obstetrical unit. Length of stay is measured in hours from the mother’s admission until the mother’s discharge (even if the baby must stay in the nursery).
**Data:**
| ID Number | Length of Stay (hours) |
|-----------|------------------------|
| 012672 | 56 |
| 034157 | 36 |
| 021256 | 32 |
| 012178 | 40 |
| 019872 | 30 |
| 024678 | 26 |
| 078987 | 52 |
| 097866 | 38 |
| 097854 | 32 |
| 078654 | 28 |
| 067543 | 52 |
| 067543 | 38 |
| 076865 | 30 |
| 016754 | 45 |
| 068654 | 42 |
| 027865 | 40 |
| 056432 | 68 |
| 037654 | 72 |
| 035627 | 32 |
| 036579 | 46 |
**Questions:**
1. **Calculate a mean length of stay in hours.**
2. **Calculate the standard deviation for the length of stay in hours.**
3. **Calculate the coefficient of variation for the length of stay in hours.**
4. **What is the Z score (standardized score) for a mother who stays 48 hours?**
5. **Are most of our mothers staying the requisite 48 hours?**
**Graph and Diagram Explanation:**
_No graphs or diagrams were provided in the data; if they were available, detailed analysis and description would be included here to illustrate the visual presentation of the length of stay data. This could include histograms, box plots, or scatter plots to depict the distribution and variability in the length of stay._
**Instruction for Students:**
Use the provided data
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