K) Deer mice 1/3: Deer mice (Peromyscus maniculatus) are small rodents native to North America. Their body lengths (excluding tail) are known to vary approximately Normally, n μ = 86 mm and standard deviation o = 8 mm. You decide to study the effect of vitamin supplements on deer mice body length, but first you want to figure out how many deer would need for successful inference about the mean u in the population of all deer mice that would ever receive vitamin supplements. y deer mice would be needed to estimate u to within ±2 mm with 95% confidence? deer mice would be needed to estimate u to within ±3 mm with 95% confidence? answers as whole numbers.
K) Deer mice 1/3: Deer mice (Peromyscus maniculatus) are small rodents native to North America. Their body lengths (excluding tail) are known to vary approximately Normally, n μ = 86 mm and standard deviation o = 8 mm. You decide to study the effect of vitamin supplements on deer mice body length, but first you want to figure out how many deer would need for successful inference about the mean u in the population of all deer mice that would ever receive vitamin supplements. y deer mice would be needed to estimate u to within ±2 mm with 95% confidence? deer mice would be needed to estimate u to within ±3 mm with 95% confidence? answers as whole numbers.
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:**Question 15.46 (EX) Deer mice 2/3:**
When planning your study, what would be the most important factor in deciding that you should aim for a 2-mm versus a 3-mm margin of error?
- ○ We choose a margin of error that will allow us to have relevant answers to the scientific questions.
- ○ The level of confidence.
- ○ The amount of variability in the population.
- ○ How large the sample size is.
![### Estimating Mean Body Length of Deer Mice
#### Problem Statement:
**Context:**
Deer mice (*Peromyscus maniculatus*) are small rodents native to North America. Their body lengths (excluding tail) are known to vary approximately normally, with a mean (\( \mu \)) of 86 mm and a standard deviation (\( \sigma \)) of 8 mm.
**Objective:**
You are studying the effect of vitamin supplements on deer mice body length. To do this, you need to determine how many deer mice are required for a successful inference about the mean body length (\( \mu \)) in the overall population of deer mice that would receive vitamin supplements.
**Tasks:**
1. Determine the number of deer mice needed to estimate \( \mu \) to within \( \pm 2 \) mm with 95% confidence.
2. Determine the number of deer mice needed to estimate \( \mu \) to within \( \pm 3 \) mm with 95% confidence.
**Instructions:**
- Provide your answers as whole numbers.
**Questions:**
1. How many deer mice are needed to estimate \( \mu \) to within \( \pm 2 \) mm with 95% confidence?
Answer: [____]
2. How many deer mice are needed to estimate \( \mu \) to within \( \pm 3 \) mm with 95% confidence?
Answer: [____]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faf6c3174-f071-4892-a981-9c51afb6153d%2F597e5483-cb78-4480-821d-9f42f4b5c5a0%2Fnorj63g_processed.png&w=3840&q=75)
Transcribed Image Text:### Estimating Mean Body Length of Deer Mice
#### Problem Statement:
**Context:**
Deer mice (*Peromyscus maniculatus*) are small rodents native to North America. Their body lengths (excluding tail) are known to vary approximately normally, with a mean (\( \mu \)) of 86 mm and a standard deviation (\( \sigma \)) of 8 mm.
**Objective:**
You are studying the effect of vitamin supplements on deer mice body length. To do this, you need to determine how many deer mice are required for a successful inference about the mean body length (\( \mu \)) in the overall population of deer mice that would receive vitamin supplements.
**Tasks:**
1. Determine the number of deer mice needed to estimate \( \mu \) to within \( \pm 2 \) mm with 95% confidence.
2. Determine the number of deer mice needed to estimate \( \mu \) to within \( \pm 3 \) mm with 95% confidence.
**Instructions:**
- Provide your answers as whole numbers.
**Questions:**
1. How many deer mice are needed to estimate \( \mu \) to within \( \pm 2 \) mm with 95% confidence?
Answer: [____]
2. How many deer mice are needed to estimate \( \mu \) to within \( \pm 3 \) mm with 95% confidence?
Answer: [____]
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