In a random sample of six mobile devices, the mean repair cost was $60.00 and the standard deviation was $13.50. Assume the population is normally distributed and use a t-distribution to find the margin of error and construct a 90% confidence interval for the population mean. Interpret the results. The 90% confidence interval for the population mean p is ( . ). (Round to two decimal places as needed.)

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
Question

Also need 90% interval

**Transcription with Explanation**

In a random sample of six mobile devices, the mean repair cost was $60.00 and the standard deviation was $13.50. Assume the population is normally distributed and use a t-distribution to find the margin of error and construct a 90% confidence interval for the population mean. Interpret the results.

**The 90% confidence interval for the population mean μ is (__, __).**

(Round to two decimal places as needed.)

---

**Explanation (for Educational Context):**

This text is part of a statistical analysis exercise designed to teach students how to calculate a confidence interval using a t-distribution. The exercise provides a scenario involving mobile device repair costs and asks students to apply appropriate statistical methods to estimate the population mean.

- **Mean Repair Cost**: $60.00
- **Standard Deviation**: $13.50
- **Sample Size**: 6
- **Confidence Level**: 90%

Students are expected to use these values to compute the confidence interval, which involves determining the margin of error using the t-distribution (likely with a t-value lookup for the given confidence level and degrees of freedom). The results will provide a range in which the true mean repair cost for the population is likely to fall with 90% confidence. The final step is to interpret this interval in the context of the data provided.
Transcribed Image Text:**Transcription with Explanation** In a random sample of six mobile devices, the mean repair cost was $60.00 and the standard deviation was $13.50. Assume the population is normally distributed and use a t-distribution to find the margin of error and construct a 90% confidence interval for the population mean. Interpret the results. **The 90% confidence interval for the population mean μ is (__, __).** (Round to two decimal places as needed.) --- **Explanation (for Educational Context):** This text is part of a statistical analysis exercise designed to teach students how to calculate a confidence interval using a t-distribution. The exercise provides a scenario involving mobile device repair costs and asks students to apply appropriate statistical methods to estimate the population mean. - **Mean Repair Cost**: $60.00 - **Standard Deviation**: $13.50 - **Sample Size**: 6 - **Confidence Level**: 90% Students are expected to use these values to compute the confidence interval, which involves determining the margin of error using the t-distribution (likely with a t-value lookup for the given confidence level and degrees of freedom). The results will provide a range in which the true mean repair cost for the population is likely to fall with 90% confidence. The final step is to interpret this interval in the context of the data provided.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Linear Equations
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.
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