Independent random samples were selected from two quantitative populations, with sample data given below. Using the p-value approach for the data given below, is there sufficient evidence to show that 4, is larger than 4, at the 1% level of significance? ng = ng = 50, x, = 125.1, x, = 123.6, s = 5.7, 52 = 6.7 n USE SALT Use the value of the test statistics 1.21 to calculate the p-value for the test. (Round your answer to four decimal places.) p-value = State your conclusion. O Ho is not rejected. There sufficient evidence to indicate that the mean for population 1 is larger than the mean for population 2. O Ho is rejected. There is sufficient evidence to indicate that the mean for population 1 is larger than the mean for population 2. O Ho is rejected. There is insufficient evidence indicate that the mean for population 1 is larger than the mean for population 2. O H, is not rejected. There is insufficient evidence to indicate that the mean for population 1 is larger than the mean for population 2. Is this result consistent with the one obtained using the critical value approach, with a = 0.01? O Yes O No
Independent random samples were selected from two quantitative populations, with sample data given below. Using the p-value approach for the data given below, is there sufficient evidence to show that 4, is larger than 4, at the 1% level of significance? ng = ng = 50, x, = 125.1, x, = 123.6, s = 5.7, 52 = 6.7 n USE SALT Use the value of the test statistics 1.21 to calculate the p-value for the test. (Round your answer to four decimal places.) p-value = State your conclusion. O Ho is not rejected. There sufficient evidence to indicate that the mean for population 1 is larger than the mean for population 2. O Ho is rejected. There is sufficient evidence to indicate that the mean for population 1 is larger than the mean for population 2. O Ho is rejected. There is insufficient evidence indicate that the mean for population 1 is larger than the mean for population 2. O H, is not rejected. There is insufficient evidence to indicate that the mean for population 1 is larger than the mean for population 2. Is this result consistent with the one obtained using the critical value approach, with a = 0.01? O Yes O No
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
Question
18
![Independent random samples were selected from two quantitative populations, with sample data given below. Using the p-value approach for the data given below, is there sufficient evidence to show that \( \mu_1 \) is larger than \( \mu_2 \) at the 1% level of significance?
\[
\begin{align*}
n_1 &= n_2 = 50, \\
\bar{x}_1 &= 125.1, \\
\bar{x}_2 &= 123.6, \\
s_1 &= 5.7, \\
s_2 &= 6.7 \\
\end{align*}
\]
![USE SALT Button]
Use the value of the test statistic 1.21 to calculate the p-value for the test. (Round your answer to four decimal places.)
p-value = [______]
State your conclusion.
- \( H_0 \) is not rejected. There is sufficient evidence to indicate that the mean for population 1 is larger than the mean for population 2.
- \( H_0 \) is rejected. There is sufficient evidence to indicate that the mean for population 1 is larger than the mean for population 2.
- \( H_0 \) is rejected. There is insufficient evidence to indicate that the mean for population 1 is larger than the mean for population 2.
- \( H_0 \) is not rejected. There is insufficient evidence to indicate that the mean for population 1 is larger than the mean for population 2.
Is this result consistent with the one obtained using the critical value approach, with \( \alpha = 0.01 \)?
- Yes
- No](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7104469d-fb7e-48cd-bb9c-a2d8cb607855%2F272453e3-104c-4a05-a298-47efb339e963%2Fi9274s_processed.png&w=3840&q=75)
Transcribed Image Text:Independent random samples were selected from two quantitative populations, with sample data given below. Using the p-value approach for the data given below, is there sufficient evidence to show that \( \mu_1 \) is larger than \( \mu_2 \) at the 1% level of significance?
\[
\begin{align*}
n_1 &= n_2 = 50, \\
\bar{x}_1 &= 125.1, \\
\bar{x}_2 &= 123.6, \\
s_1 &= 5.7, \\
s_2 &= 6.7 \\
\end{align*}
\]
![USE SALT Button]
Use the value of the test statistic 1.21 to calculate the p-value for the test. (Round your answer to four decimal places.)
p-value = [______]
State your conclusion.
- \( H_0 \) is not rejected. There is sufficient evidence to indicate that the mean for population 1 is larger than the mean for population 2.
- \( H_0 \) is rejected. There is sufficient evidence to indicate that the mean for population 1 is larger than the mean for population 2.
- \( H_0 \) is rejected. There is insufficient evidence to indicate that the mean for population 1 is larger than the mean for population 2.
- \( H_0 \) is not rejected. There is insufficient evidence to indicate that the mean for population 1 is larger than the mean for population 2.
Is this result consistent with the one obtained using the critical value approach, with \( \alpha = 0.01 \)?
- Yes
- No
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 1 images
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