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. 95 75 90 60 35 65 30 23 100 110 105 95 105 60 110 120 95 90 60 70 n USE SALT (a) Use a calculator with mean and sample standard deviation keys to find the sample mean price x and sample standard deviation s. (Round your answers to four decimal places.) x = $ S = $ (b) Using the given data as representative of the population of prices of all summer sleeping bags, find a 90% confidence interval for the mean price u of all summer sleeping bags. (Round your answers to two decimal places.) lower limit $ upper limit
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. 95 75 90 60 35 65 30 23 100 110 105 95 105 60 110 120 95 90 60 70 n USE SALT (a) Use a calculator with mean and sample standard deviation keys to find the sample mean price x and sample standard deviation s. (Round your answers to four decimal places.) x = $ S = $ (b) Using the given data as representative of the population of prices of all summer sleeping bags, find a 90% confidence interval for the mean price u of all summer sleeping bags. (Round your answers to two decimal places.) lower limit $ upper limit
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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![**Title: Calculating the Cost of a Sleeping Bag**
**Introduction:**
How much does a sleeping bag cost? If you're looking for a sleeping bag suitable for temperatures ranging from 20°F to 45°F, here's an analysis based on a random sample of prices in dollars ($) for sleeping bags within this range. We'll assume that the population of x values has an approximately normal distribution.
**Sample Data:**
The given prices are:
- 95, 90, 60, 35, 65, 75, 30, 23, 100, 110
- 105, 95, 105, 60, 110, 120, 95, 90, 60, 70
**Task A: Statistical Calculation**
- **Objective:** Use a calculator to determine the sample mean price (\(\bar{x}\)) and sample standard deviation (\(s\)). Ensure to round your answers to four decimal places.
- \(\bar{x} = \$\) [Input Box]
- \(s = \$\) [Input Box]
**Task B: Confidence Interval Calculation**
- **Objective:** Using the provided data as a representation of summer sleeping bag prices, calculate a 90% confidence interval for the mean price (\(\mu\)) of all summer sleeping bags. Round your answers to two decimal places.
- Lower limit: \$ [Input Box]
- Upper limit: \$ [Input Box]
**Use of Technology:**
You can use statistical software or a calculator with mean and standard deviation functionalities to perform these calculations.
**Conclusion:**
This exercise helps understand how to calculate mean, standard deviation, and confidence intervals, which are essential for statistical analysis of real-world data.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0a8d585f-99dd-4e5d-b593-c7eaddfe8ce4%2F968b3044-1252-4be5-82f7-022d15407ce6%2Fesfuysq_processed.png&w=3840&q=75)
Transcribed Image Text:**Title: Calculating the Cost of a Sleeping Bag**
**Introduction:**
How much does a sleeping bag cost? If you're looking for a sleeping bag suitable for temperatures ranging from 20°F to 45°F, here's an analysis based on a random sample of prices in dollars ($) for sleeping bags within this range. We'll assume that the population of x values has an approximately normal distribution.
**Sample Data:**
The given prices are:
- 95, 90, 60, 35, 65, 75, 30, 23, 100, 110
- 105, 95, 105, 60, 110, 120, 95, 90, 60, 70
**Task A: Statistical Calculation**
- **Objective:** Use a calculator to determine the sample mean price (\(\bar{x}\)) and sample standard deviation (\(s\)). Ensure to round your answers to four decimal places.
- \(\bar{x} = \$\) [Input Box]
- \(s = \$\) [Input Box]
**Task B: Confidence Interval Calculation**
- **Objective:** Using the provided data as a representation of summer sleeping bag prices, calculate a 90% confidence interval for the mean price (\(\mu\)) of all summer sleeping bags. Round your answers to two decimal places.
- Lower limit: \$ [Input Box]
- Upper limit: \$ [Input Box]
**Use of Technology:**
You can use statistical software or a calculator with mean and standard deviation functionalities to perform these calculations.
**Conclusion:**
This exercise helps understand how to calculate mean, standard deviation, and confidence intervals, which are essential for statistical analysis of real-world data.
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