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

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question
## 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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman