A hypothesis test Is to be performed. Determine the null and alternate hypotheses. In 1994, the average duration of long-distance telephone calls originating in one town was 7.1 minutes. A long-distance telephone company wants to perform a hypothesis test to determine whether the average duration of long-distance phone calls has changed from the 1994 mean of 7.1 minutes.
A hypothesis test Is to be performed. Determine the null and alternate hypotheses. In 1994, the average duration of long-distance telephone calls originating in one town was 7.1 minutes. A long-distance telephone company wants to perform a hypothesis test to determine whether the average duration of long-distance phone calls has changed from the 1994 mean of 7.1 minutes.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Topic Video
Question

Transcribed Image Text:### Hypothesis Testing: Null and Alternative Hypotheses
**Scenario:**
In 1994, the average duration of long-distance telephone calls originating in one town was 7.1 minutes. A long-distance telephone company wants to conduct a hypothesis test to determine whether the average duration of long-distance phone calls has changed from the 1994 mean of 7.1 minutes.
**Objective:**
Determine the null and alternate hypotheses for this scenario.
**Possible Choices:**
1. \( H_0: \mu = 7.1 \) minutes, \( H_1: \mu > 7.1 \) minutes
2. \( H_0: \mu = 7.1 \) minutes, \( H_1: \mu < 7.1 \) minutes
3. \( H_0: \mu \neq 7.1 \) minutes, \( H_1: \mu = 7.1 \) minutes
4. \( H_0: \mu = 7.1 \) minutes, \( H_1: \mu \neq 7.1 \) minutes
5. \( H_0: \mu = 7.1 \) minutes, \( H_1: \mu < 7.1 \) minutes
**Graphical Representation:**
The given image presents a multiple-choice format where different hypothesis pairs are listed, with each pair consisting of a null hypothesis (\(H_0\)) and an alternate hypothesis (\(H_1\)).
**Explanation of Setup:**
- **Null Hypothesis (\(H_0\))**: Represents the status quo or the hypothesis that indicates no effect or no change. Here, it suggests that the average duration of the phone calls is still 7.1 minutes.
- **Alternate Hypothesis (\(H_1\))**: Represents a change or an effect. This could either indicate that the average duration has increased, decreased, or simply changed in either direction.
**Choose the Correct Pair:**
For a two-tailed hypothesis test, where we are interested in any change from the historical mean (both increases and decreases),
we use:
- \( H_0: \mu = 7.1 \) minutes
- \( H_1: \mu \neq 7.1 \) minutes
Hence, the fourth option listed in the multiple-choice setup should be selected.
**Instructions:
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images

Knowledge Booster
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
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman