PrintTech, Inc. is introducing a new line of ink-jet printers and would like to promote the number of pages a user can expect from print cartridge. A sample of 10 cartridges revealed the following number of pages printed. (Use tDistribution Table.) 2,814 3,120 2,479 2,557 2,572 2,412 2,593 2,482 3,798 2,412 picture Click here for the Excel Data File a. What is the point estimate of the population mean? (Round your answer to 2 decimal places.) Estimated population mean b. Develop a 95% confidence interval for the population mean. (Round your answers to 2 decimal places.) Confidence interval for the population mean is and between

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## Evaluating PrintTech, Inc.'s New Ink-Jet Printers

**Overview:**
PrintTech, Inc. is introducing a new line of ink-jet printers and is interested in promoting the number of pages a user can expect from a print cartridge. A sample of 10 cartridges yielded the following number of pages printed:

### Sample Data:
| Cartridges  | 1     | 2     | 3     | 4     | 5     | 6     | 7     | 8     | 9     | 10    |
|-------------|-------|-------|-------|-------|-------|-------|-------|-------|-------|-------|
| Pages Printed | 2,814 | 3,120 | 2,479 | 2,557 | 2,572 | 2,412 | 2,593 | 2,482 | 3,798 | 2,412 |

*For statistical calculations, use the [t Distribution Table](#)*

### Questions:

**a. What is the point estimate of the population mean?** *(Round your answer to 2 decimal places.)*

* __Estimated Population Mean:__  
  ☐ _____________

**b. Develop a 95% confidence interval for the population mean.** *(Round your answers to 2 decimal places.)*

* __Confidence Interval for the Population Mean:__  
  ☐ _____________ and ☐ _____________

### Instructions for Calculation:
1. **Point Estimate of the Population Mean:**
   - Calculate the average of the pages printed by the 10 cartridges.
2. **Confidence Interval for the Population Mean:**
   - Compute the sample standard deviation.
   - Find the appropriate t-value for a 95% confidence level and 9 degrees of freedom (n-1).
   - Calculate the margin of error and then the confidence interval.

### Notes:
- The sample size is relatively small (n=10), hence the usage of the t-distribution to determine the confidence interval is appropriate.
- Ensure you round your final answers to 2 decimal places as indicated.
Transcribed Image Text:## Evaluating PrintTech, Inc.'s New Ink-Jet Printers **Overview:** PrintTech, Inc. is introducing a new line of ink-jet printers and is interested in promoting the number of pages a user can expect from a print cartridge. A sample of 10 cartridges yielded the following number of pages printed: ### Sample Data: | Cartridges | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | |-------------|-------|-------|-------|-------|-------|-------|-------|-------|-------|-------| | Pages Printed | 2,814 | 3,120 | 2,479 | 2,557 | 2,572 | 2,412 | 2,593 | 2,482 | 3,798 | 2,412 | *For statistical calculations, use the [t Distribution Table](#)* ### Questions: **a. What is the point estimate of the population mean?** *(Round your answer to 2 decimal places.)* * __Estimated Population Mean:__ ☐ _____________ **b. Develop a 95% confidence interval for the population mean.** *(Round your answers to 2 decimal places.)* * __Confidence Interval for the Population Mean:__ ☐ _____________ and ☐ _____________ ### Instructions for Calculation: 1. **Point Estimate of the Population Mean:** - Calculate the average of the pages printed by the 10 cartridges. 2. **Confidence Interval for the Population Mean:** - Compute the sample standard deviation. - Find the appropriate t-value for a 95% confidence level and 9 degrees of freedom (n-1). - Calculate the margin of error and then the confidence interval. ### Notes: - The sample size is relatively small (n=10), hence the usage of the t-distribution to determine the confidence interval is appropriate. - Ensure you round your final answers to 2 decimal places as indicated.
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