You work for a company that produces electronics with integrated circuits. One of your products is called a "shift register." This product is designed to automatically shut down if its operating temperature exceeds 175 degrees Celsius. The manufacturing process has been designed to have a standard deviation of σ=0.4σ=0.4 degrees Celsius. You test a random sample 16 shift registers, and you record the following shut-down temperatures. Construct a 80% confidence interval for the overall mean shutdown-temperature. 175.61 175.44 175.24 175.49 174.57 175.44 174.67 175.72 175.3 175.65 174.83 175.29 175.13 175.05 174.74 174.8 (Sum of data values = 2802.97) a) Find the critical value and σ¯xσx¯ . Round your answers to 3 decimal places. Critical Value: σ¯xσx¯ : b) Find the confidence interval, rounded to 2 decimal places: (,)
You work for a company that produces electronics with integrated circuits. One of your products is called a "shift register." This product is designed to automatically shut down if its operating temperature exceeds 175 degrees Celsius. The manufacturing process has been designed to have a standard deviation of σ=0.4σ=0.4 degrees Celsius. You test a random sample 16 shift registers, and you record the following shut-down temperatures. Construct a 80% confidence interval for the overall
175.61 | 175.44 | 175.24 | 175.49 | 174.57 | 175.44 |
174.67 | 175.72 | 175.3 | 175.65 | 174.83 | 175.29 |
175.13 | 175.05 | 174.74 | 174.8 |
(Sum of data values = 2802.97)
a) Find the critical value and σ¯xσx¯ . Round your answers to 3 decimal places.
Critical Value: σ¯xσx¯ :
b) Find the confidence interval, rounded to 2 decimal places: (,)
![](/static/compass_v2/shared-icons/check-mark.png)
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
![Elementary Statistics: Picturing the World (7th E…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
![Introduction to the Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)