much does a sleeping bag cost? Let's say you want a sleeping bag that should keep you warm in temperatures from 20°F to 45°F. A random sample of prices ($) for sleeping bags in this temperature range is given below. Assume that the population of x values has an approximately normal distribution. 85 70 115 80 90 95 30 23 100 110 105 95 105 60 110 120 95 90 60 7

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
How much does a sleeping bag cost? Let's say you want a sleeping bag that should keep you warm in temperatures from 20°F to 45°F. A random sample of prices ($) for sleeping bags in this temperature range is given below. Assume that the population of x values has an approximately normal distribution.
85 70 115 80 90 95 30 23 100 110
105 95 105 60 110 120 95 90 60 70
## Determining the Cost of a Sleeping Bag for Cold Temperatures

When planning an outdoor adventure, it's crucial to have the right sleeping bag. Let’s say you need a sleeping bag that can keep you warm in temperatures ranging from 20°F to 45°F. Below is a random sample of sleeping bag prices (in dollars) suitable for such conditions:

### Sample Prices ($)
```
85, 70, 115, 80, 90, 95, 30, 23, 100, 110
105, 95, 105, 60, 110, 120, 95, 90, 60, 70
```

### Instructions:
#### (a) Calculating Sample Mean Price (\(\bar{x}\)) and Sample Standard Deviation (s)
Use a calculator with mean and sample standard deviation functions to find the following:
- Sample Mean Price (\(\bar{x}\))
- Sample Standard Deviation (s)

*Note: Round your answers to four decimal places.*

\[
\bar{x} = \$ 85.4 \quad \textcolor{green}{✓}
\]
\[
s = \$ 26.5 \quad \textcolor{red}{✗}
\]

#### (b) Finding a Confidence Interval for the Mean Price (\(\mu\))
Using the provided data, treat it as representative of all summer sleeping bag prices. Calculate a 90% confidence interval for the mean price (\(\mu\)) of all summer sleeping bags. 

*Note: Round your answers to two decimal places.*

- Lower Limit: `_________`
- Upper Limit: `_________`

### Assistance:
If you need help with the calculations or concepts, refer to the following resources:
- **Read It:** [Link to detailed explanation and examples]
- **Master It:** [Link to practice problems and additional resources]

This guide helps ensure you can budget appropriately for your gear, ensuring both comfort and safety during your outdoor adventures.
Transcribed Image Text:## Determining the Cost of a Sleeping Bag for Cold Temperatures When planning an outdoor adventure, it's crucial to have the right sleeping bag. Let’s say you need a sleeping bag that can keep you warm in temperatures ranging from 20°F to 45°F. Below is a random sample of sleeping bag prices (in dollars) suitable for such conditions: ### Sample Prices ($) ``` 85, 70, 115, 80, 90, 95, 30, 23, 100, 110 105, 95, 105, 60, 110, 120, 95, 90, 60, 70 ``` ### Instructions: #### (a) Calculating Sample Mean Price (\(\bar{x}\)) and Sample Standard Deviation (s) Use a calculator with mean and sample standard deviation functions to find the following: - Sample Mean Price (\(\bar{x}\)) - Sample Standard Deviation (s) *Note: Round your answers to four decimal places.* \[ \bar{x} = \$ 85.4 \quad \textcolor{green}{✓} \] \[ s = \$ 26.5 \quad \textcolor{red}{✗} \] #### (b) Finding a Confidence Interval for the Mean Price (\(\mu\)) Using the provided data, treat it as representative of all summer sleeping bag prices. Calculate a 90% confidence interval for the mean price (\(\mu\)) of all summer sleeping bags. *Note: Round your answers to two decimal places.* - Lower Limit: `_________` - Upper Limit: `_________` ### Assistance: If you need help with the calculations or concepts, refer to the following resources: - **Read It:** [Link to detailed explanation and examples] - **Master It:** [Link to practice problems and additional resources] This guide helps ensure you can budget appropriately for your gear, ensuring both comfort and safety during your outdoor adventures.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman