Given the two independent samples below, conduct a hypothesis test for the desired scenario. Assume all populations are approximately normally distributed. Sample 1 Sample 2 n1 = 861 n2 = 867 381 285 81 = 150 S2 = 180 Test the claim:
Given the two independent samples below, conduct a hypothesis test for the desired scenario. Assume all populations are approximately normally distributed. Sample 1 Sample 2 n1 = 861 n2 = 867 381 285 81 = 150 S2 = 180 Test the claim:
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
![Given the two independent samples below, conduct a hypothesis test for the desired scenario. Assume all populations are approximately normally distributed.
| Sample 1 | Sample 2 |
|----------------------|----------------------|
| \( n_1 = 861 \) | \( n_2 = 867 \) |
| \( \bar{x}_1 = 381 \)| \( \bar{x}_2 = 285 \)|
| \( s_1 = 150 \) | \( s_2 = 180 \) |
**Test the claim:**
Given the null and alternative hypotheses below, conduct a hypothesis test for \( \alpha = 0.05 \).
- \( H_0: \mu_1 = \mu_2 \)
- \( H_a: \mu_1 < \mu_2 \)
a. Given the alternative hypothesis, the test is
- [Select an answer]
b. Determine the test statistic. *Round to four decimal places.*
\( t = \) [__________]
c. Find the *p-value*. *Round to 4 decimals.*
\( p\text{-value} = \) [__________]
d. Make a decision.
- [ ] Fail to reject the null hypothesis.
- [ ] Reject the null hypothesis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F443e45af-3927-4fd9-baca-290567a407b3%2F49b6174a-c473-4c2c-88b7-8ba911d08559%2Fxxblm1i_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Given the two independent samples below, conduct a hypothesis test for the desired scenario. Assume all populations are approximately normally distributed.
| Sample 1 | Sample 2 |
|----------------------|----------------------|
| \( n_1 = 861 \) | \( n_2 = 867 \) |
| \( \bar{x}_1 = 381 \)| \( \bar{x}_2 = 285 \)|
| \( s_1 = 150 \) | \( s_2 = 180 \) |
**Test the claim:**
Given the null and alternative hypotheses below, conduct a hypothesis test for \( \alpha = 0.05 \).
- \( H_0: \mu_1 = \mu_2 \)
- \( H_a: \mu_1 < \mu_2 \)
a. Given the alternative hypothesis, the test is
- [Select an answer]
b. Determine the test statistic. *Round to four decimal places.*
\( t = \) [__________]
c. Find the *p-value*. *Round to 4 decimals.*
\( p\text{-value} = \) [__________]
d. Make a decision.
- [ ] Fail to reject the null hypothesis.
- [ ] Reject the null hypothesis.
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