Lower bound of confidence interval given the population standard deviations are equal (Read the question carefully in case you need to switch the default variables of the calculator and switch inputs for these confidence intervals questions. ) Upper bound of confidence interval given the population standard deviations are equal (Type what you see on your calculator if it has three decimals ) Lower bound of confidence interval given the population standard deviations are not equal  Upper bound of confidence interval given the population standard deviations are not equal (Type what you see on your calculator if it has three decimals )

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Lower bound of confidence interval given the population standard deviations are equal (Read the question carefully in case you need to switch the default variables of the calculator and switch inputs for these confidence intervals questions. )

Upper bound of confidence interval given the population standard deviations are equal (Type what you see on your calculator if it has three decimals )

Lower bound of confidence interval given the population standard deviations are not equal 

Upper bound of confidence interval given the population standard deviations are not equal (Type what you see on your calculator if it has three decimals )

**Study on Compression Strength of Aluminum Cans**

A study examines the compression strength (in pounds) of 12-ounce aluminum cans filled with two different beverages: a strawberry drink and cola. The study aims to determine if the extra carbonation in cola results in a higher average compression strength compared to the strawberry drink. 

**Data Summary:**

| Beverage        | Sample Size | Sample Mean | Sample St. Dev. |
|-----------------|-------------|-------------|------------------|
| Strawberry drink| 15          | 546         | 21               |
| Cola            | 15          | 560         | 15               |

**Analysis Questions:**

1. **P-Value Calculation:** Does the data suggest a statistically significant difference in average compression strength due to extra carbonation? Use a P-value approach with an alpha level of 0.05.
   
2. **Assumptions:** What assumptions are necessary for conducting this analysis? Consider assumptions of normality, independence, and equal variance.

3. **Confidence Interval Construction:** After testing, construct a 90% confidence interval for the difference in population means (Cola - Strawberry drink).

This study provides insights into material strength differences influenced by beverage carbonation, crucial for packaging design and material choice.
Transcribed Image Text:**Study on Compression Strength of Aluminum Cans** A study examines the compression strength (in pounds) of 12-ounce aluminum cans filled with two different beverages: a strawberry drink and cola. The study aims to determine if the extra carbonation in cola results in a higher average compression strength compared to the strawberry drink. **Data Summary:** | Beverage | Sample Size | Sample Mean | Sample St. Dev. | |-----------------|-------------|-------------|------------------| | Strawberry drink| 15 | 546 | 21 | | Cola | 15 | 560 | 15 | **Analysis Questions:** 1. **P-Value Calculation:** Does the data suggest a statistically significant difference in average compression strength due to extra carbonation? Use a P-value approach with an alpha level of 0.05. 2. **Assumptions:** What assumptions are necessary for conducting this analysis? Consider assumptions of normality, independence, and equal variance. 3. **Confidence Interval Construction:** After testing, construct a 90% confidence interval for the difference in population means (Cola - Strawberry drink). This study provides insights into material strength differences influenced by beverage carbonation, crucial for packaging design and material choice.
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