You measure 33 backpacks' weights, and find they have a mean weight of 33 ounces. Assume the population standard deviation is 2 ounces. Based on this, construct a 99% confidence interval for the true population mean backpack weight. (Note you will use the z distribution for your critical value since the population standard deviation is given.) Write your answer in the form of point estimate±margin of error . Give your answers as decimals, to two places. ± ounces Write your answer using inequality notation. <μ<
You measure 33 backpacks' weights, and find they have a mean weight of 33 ounces. Assume the population standard deviation is 2 ounces. Based on this, construct a 99% confidence interval for the true population mean backpack weight. (Note you will use the z distribution for your critical value since the population standard deviation is given.) Write your answer in the form of point estimate±margin of error . Give your answers as decimals, to two places. ± ounces Write your answer using inequality notation. <μ<
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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![Certainly! Here is a transcription suitable for an educational website:
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**Confidence Interval Construction for Mean Backpack Weight**
You measure the weights of 33 backpacks and find they have a mean weight of 33 ounces. Assume the population standard deviation is 2 ounces. Based on this information, your task is to construct a 99% confidence interval for the true population mean backpack weight.
*Note: You will use the z distribution for your critical value since the population standard deviation is known.*
**Instructions:**
1. **Write your answer in the form of:**
\(\text{point estimate} \pm \text{margin of error}\)
- Provide your answers as decimals, rounded to two decimal places.
**[Answer Format Example]**
[ ] ± [ ] ounces
2. **Write your answer using inequality notation:**
**\[a < \mu < b\]**
Provide the bounds of your confidence interval in the boxes provided:
[ ] < \( \mu \) < [ ]
---
This exercise involves calculating the confidence interval to estimate the range within which the true population mean likely falls, considering the sample data provided.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faddcfefe-79de-4bfb-b00e-9692daf48932%2F62bcb76f-f0ed-4907-876f-c40a064dc2ac%2F2bccntx_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Certainly! Here is a transcription suitable for an educational website:
---
**Confidence Interval Construction for Mean Backpack Weight**
You measure the weights of 33 backpacks and find they have a mean weight of 33 ounces. Assume the population standard deviation is 2 ounces. Based on this information, your task is to construct a 99% confidence interval for the true population mean backpack weight.
*Note: You will use the z distribution for your critical value since the population standard deviation is known.*
**Instructions:**
1. **Write your answer in the form of:**
\(\text{point estimate} \pm \text{margin of error}\)
- Provide your answers as decimals, rounded to two decimal places.
**[Answer Format Example]**
[ ] ± [ ] ounces
2. **Write your answer using inequality notation:**
**\[a < \mu < b\]**
Provide the bounds of your confidence interval in the boxes provided:
[ ] < \( \mu \) < [ ]
---
This exercise involves calculating the confidence interval to estimate the range within which the true population mean likely falls, considering the sample data provided.
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