Test the claim about the difference between two population means µ, and 42 at the level of significance a. Assume the samples are random and independent, and the populations are normally distributed. Claim: 4, sH2; a = 0.05. Assume of +o Sample statistics: x, = 2420, s, = 171, n, = 12 and X2 = 2292, s2 = 51, ng = 9 Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: H1 > H2 O B. Ho: H1 H2 Hai H1 =H2 Hạ: H1 SH2 OC. Ho: H1 = H2 Hạ: H1 # H2 D. Ho: H1 SH2 Hai Hy> H2 OF. Ho: H1

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
Topic Video
Question
Test the claim about the difference between two population means µ, and Hz at the level of significance a. Assume
the samples are random and independent, and the populations are normally distributed.
Claim: 41 SH2; a = 0.05. Assume o? +o
Sample statistics: x, = 2420, s, = 171, n, = 12 and
X2 = 2292, s2 = 51, n2 = 9
Identify the null and alternative hypotheses. Choose the correct answer below.
O A. Ho: H1> H2
Ha: 41 SH2
B. Họ: H1 + H2
Hạ: H1 = H2
O C. Ho: H1 = H2
Ha: H1 # H2
D. Ho: H1 SH2
Ha: H1> H2
O E. Ho: H12H2
Ha: H1 < H2
O F. Ho: H1 <H2
Ha: H1Z H2
Find the standardized test statistic t.
t=
(Round to two decimal places as needed.)
Find the P-value.
P=
(Round to three decimal places as needed.)
Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original
claim.
Ho. There
enough evidence at the 5% level of significance to reject the claim.
Transcribed Image Text:Test the claim about the difference between two population means µ, and Hz at the level of significance a. Assume the samples are random and independent, and the populations are normally distributed. Claim: 41 SH2; a = 0.05. Assume o? +o Sample statistics: x, = 2420, s, = 171, n, = 12 and X2 = 2292, s2 = 51, n2 = 9 Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: H1> H2 Ha: 41 SH2 B. Họ: H1 + H2 Hạ: H1 = H2 O C. Ho: H1 = H2 Ha: H1 # H2 D. Ho: H1 SH2 Ha: H1> H2 O E. Ho: H12H2 Ha: H1 < H2 O F. Ho: H1 <H2 Ha: H1Z H2 Find the standardized test statistic t. t= (Round to two decimal places as needed.) Find the P-value. P= (Round to three decimal places as needed.) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim. Ho. There enough evidence at the 5% level of significance to reject the claim.
Expert Solution
steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
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.
Similar questions
  • SEE MORE QUESTIONS
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