How much does a sleeping bag cost? Let's say you want a sieeping 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. 55 75 115 110 120 95 60 90 A USE SALT (a) Use a calculator with mean and sample standard deviation keys to find the sample mean pricex and sample standard deviation s. (Round your answers to four decimal places.) (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 of all summer sleeping bags. (Round your answers to two decimal places) lower limit upper limit

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Questions A and B please!

## Sleeping Bag Price Analysis for Summer Camping

### Price Data for Summer Sleeping Bags

The table below shows a random sample of prices (in dollars) for sleeping bags designed for temperatures ranging from 20°F to 45°F. These prices are assumed to follow a normal distribution.

| Prices ($)    |
|---------------|
| 55, 75, 70, 100, 85, 115, 33, 23, 100, 110, 105, 95, 105, 60, 110, 120, 95, 90, 60, 70 |

---

### Statistical Analysis

#### (a) Calculating Sample Mean and Standard Deviation

- Use a calculator with mean and sample standard deviation keys to find the following:
  - **Sample Mean (\(\bar{x}\))**: $\_\_\_\_\_\_\_\_\_\_$ (Round to four decimal places.)
  - **Sample Standard Deviation (\(s\))**: $\_\_\_\_\_\_\_\_\_\_$ (Round to four decimal places.)

#### (b) Confidence Interval for the Mean Price

- Using the data as representative of the population of prices for all summer sleeping bags, calculate a 90% confidence interval for the mean price (\(\mu\)).
  - **Lower Limit**: $\_\_\_\_\_$ (Round to two decimal places.)
  - **Upper Limit**: $\_\_\_\_\_$ (Round to two decimal places.)

### Instructions

1. Use statistical tools or a calculator to determine the mean and standard deviation from the provided data.
2. Apply the appropriate statistical method to calculate the 90% confidence interval.
3. Input the calculated values into the provided spaces.
Transcribed Image Text:## Sleeping Bag Price Analysis for Summer Camping ### Price Data for Summer Sleeping Bags The table below shows a random sample of prices (in dollars) for sleeping bags designed for temperatures ranging from 20°F to 45°F. These prices are assumed to follow a normal distribution. | Prices ($) | |---------------| | 55, 75, 70, 100, 85, 115, 33, 23, 100, 110, 105, 95, 105, 60, 110, 120, 95, 90, 60, 70 | --- ### Statistical Analysis #### (a) Calculating Sample Mean and Standard Deviation - Use a calculator with mean and sample standard deviation keys to find the following: - **Sample Mean (\(\bar{x}\))**: $\_\_\_\_\_\_\_\_\_\_$ (Round to four decimal places.) - **Sample Standard Deviation (\(s\))**: $\_\_\_\_\_\_\_\_\_\_$ (Round to four decimal places.) #### (b) Confidence Interval for the Mean Price - Using the data as representative of the population of prices for all summer sleeping bags, calculate a 90% confidence interval for the mean price (\(\mu\)). - **Lower Limit**: $\_\_\_\_\_$ (Round to two decimal places.) - **Upper Limit**: $\_\_\_\_\_$ (Round to two decimal places.) ### Instructions 1. Use statistical tools or a calculator to determine the mean and standard deviation from the provided data. 2. Apply the appropriate statistical method to calculate the 90% confidence interval. 3. Input the calculated values into the provided spaces.
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