alpha should be used? 4. Can you say with 95% confidence that Store 1 is producing sub sandwiches with an average length that is less than 12 inches? 5. Can you say with 95% confidence that Store 2 is producing sub sandwiches with an average length that is less than 12 inches? 6. Can you say with 95% confidence that Store 3 is producíng sub sandwiches with an average length that is less than 12 inches? a =0.05 [select] [select] [select]

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 problem: customers are complaining about the sandwich length Interpret the results: **please just interpret the last three**
### Understanding Complaints about Sandwich Lengths

You are the owner of three local sandwich shops. Recently, you've received complaints from customers that their "footlong" sub sandwiches were less than 12 inches long. As a measure of quality assurance, data was collected on all footlong sub sandwiches made over a period of one hour at each store. Determine which, if any, of your stores are making sub sandwiches that are significantly shorter than 12 inches. You will conduct three t-tests, one for each store. You want to be 95% confident in your results. 

#### Sandwich Measurements
- **Store 1:**
  - Measurements: 8.8, 11.4, 13.4, 11.3, 11.4, 13.2, 11.9, 10.4, 9.2, 11.6, 10.3, 12.7, 13.2, 10.2, 12.3, 13.7, 9.6, 8.6

- **Store 2:**
  - Measurements: 9.1, 11.0, 13.5, 10.4, 10.3, 14.0, 8.6, 14.1

- **Store 3:**
  - Measurements: 9.8, 12.6, 15.1, 13.5, 8.6, 13.6, 14.1, 11.6

#### Statistics
|                  | Store 1 | Store 2 | Store 3 |
|------------------|---------|---------|---------|
| Sample Size      | 18      | 8       | 8       |
| Mean (length)    | 11.00   | 11.00   | 12.10   |
| Variance         | 2.31    | 2.25    | 4.75    |
| Standard Deviation | 1.52  | 1.50    | 2.18    |
| Hypothesized Mean (M) | 12 | 12      | 12      |
| Difference in Means (x̄ - M) | -1.00 | -1.00 | 0.10  |
| Standard Error   | 0.36    | 0
Transcribed Image Text:### Understanding Complaints about Sandwich Lengths You are the owner of three local sandwich shops. Recently, you've received complaints from customers that their "footlong" sub sandwiches were less than 12 inches long. As a measure of quality assurance, data was collected on all footlong sub sandwiches made over a period of one hour at each store. Determine which, if any, of your stores are making sub sandwiches that are significantly shorter than 12 inches. You will conduct three t-tests, one for each store. You want to be 95% confident in your results. #### Sandwich Measurements - **Store 1:** - Measurements: 8.8, 11.4, 13.4, 11.3, 11.4, 13.2, 11.9, 10.4, 9.2, 11.6, 10.3, 12.7, 13.2, 10.2, 12.3, 13.7, 9.6, 8.6 - **Store 2:** - Measurements: 9.1, 11.0, 13.5, 10.4, 10.3, 14.0, 8.6, 14.1 - **Store 3:** - Measurements: 9.8, 12.6, 15.1, 13.5, 8.6, 13.6, 14.1, 11.6 #### Statistics | | Store 1 | Store 2 | Store 3 | |------------------|---------|---------|---------| | Sample Size | 18 | 8 | 8 | | Mean (length) | 11.00 | 11.00 | 12.10 | | Variance | 2.31 | 2.25 | 4.75 | | Standard Deviation | 1.52 | 1.50 | 2.18 | | Hypothesized Mean (M) | 12 | 12 | 12 | | Difference in Means (x̄ - M) | -1.00 | -1.00 | 0.10 | | Standard Error | 0.36 | 0
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