Consider the following hypothesis test. Ho: H1 - H2 - 0 Hai thì không giọ The following results are from independent samples taken from two populations. Sample 2 n2 Sample 1 n₁ = 35 X₁ = 13.6 $1 = 5.7 $2 = 8.1 (a) What is the value of the test statistic? (Use X₁ X₂. Round your answer to three decimal places.) X₂ = 40 10.1 (b) What is the degrees of freedom for the t distribution? (Round your answer down to the nearest integer.) (c) What is the p-value? (Round your answer to four decimal places.) p-value = (d) At a = 0.05, what is your conclusion? Reject Ho. There is sufficient evidence to conclude that μ₁-₂ * 0. Reject Ho. There is insufficient evidence to conclude that ₁-1₂ # 0. Do not Reject Ho. There is insufficient evidence to conclude that μ₁ −μ₂ * 0. Do not Reject Ho. There is sufficient evidence to conclude that ₁ - ₂ + 0.

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
Consider the following hypothesis test.
Но: М1-М2=0
Ha: M₁ M₂ #0
The following results are from independent samples taken from two populations.
Sample 1
n₁ 35
X1
= 13.6
Sample 2
= 40
=
n₂=
=
x2
S1₁ = 5.7
S₂ = 8.1
(a) What is the value of the test statistic? (Use x₁ - x₂. Round your answer to three decimal places.)
10.1
(b) What is the degrees of freedom for the t distribution? (Round your answer down to the nearest integer.)
(c) What is the p-value? (Round your answer to four decimal places.)
p-value
(d) At a = 0.05, what is your conclusion?
-
Reject Ho. There is sufficient evidence to conclude that μ₁ − μ₂ ‡ 0.
Reject Ho. There is insufficient evidence to conclude that µ₁ − µ₂ ‡ 0.
Do not Reject Ho. There is insufficient evidence to conclude that μ₁ − M₂ ‡ O.
Do not Reject Ho. There is sufficient evidence to conclude that μ₁ −μ₂ ‡ O.
-
Transcribed Image Text:Consider the following hypothesis test. Но: М1-М2=0 Ha: M₁ M₂ #0 The following results are from independent samples taken from two populations. Sample 1 n₁ 35 X1 = 13.6 Sample 2 = 40 = n₂= = x2 S1₁ = 5.7 S₂ = 8.1 (a) What is the value of the test statistic? (Use x₁ - x₂. Round your answer to three decimal places.) 10.1 (b) What is the degrees of freedom for the t distribution? (Round your answer down to the nearest integer.) (c) What is the p-value? (Round your answer to four decimal places.) p-value (d) At a = 0.05, what is your conclusion? - Reject Ho. There is sufficient evidence to conclude that μ₁ − μ₂ ‡ 0. Reject Ho. There is insufficient evidence to conclude that µ₁ − µ₂ ‡ 0. Do not Reject Ho. There is insufficient evidence to conclude that μ₁ − M₂ ‡ O. Do not Reject Ho. There is sufficient evidence to conclude that μ₁ −μ₂ ‡ O. -
Expert Solution
steps

Step by step

Solved in 6 steps with 8 images

Blurred answer
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