What type of hypothesis test should be performed? Select What is the test statistic? Ex: 0.12 : Does sufficient evidence exist to support the claim that the voltage of the batteries made by the two manufacturers is different at the a = 0.1 significance level? Select

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
What type of hypothesis test should be performed? Select
What is the test statistic? Ex: 0.12 :
Does sufficient evidence exist to support the claim that the voltage of the batteries made
by the two manufacturers is different at the a = 0.1 significance level?
Select
Transcribed Image Text:What type of hypothesis test should be performed? Select What is the test statistic? Ex: 0.12 : Does sufficient evidence exist to support the claim that the voltage of the batteries made by the two manufacturers is different at the a = 0.1 significance level? Select
Expert Solution
Step 1 :

Given information :

Sample mean for manufactures A , x̅A = 142

Sample mean for manufactures B , x̅B = 140

Population standard deviation for manufactures A ,  σA = 4.

Population standard deviation for manufactures B , σB = 5

Sample size for A and B is same that is , nA = nB= 68.

Significance level , α = 0.1.

Step 2 : Hypotheses Information.

Claim : The voltage of the batteries made by two manufacturers is different.

For the word "different" we use ≠ inequality.

The null and alternative hypotheses are as follows;

Ho : µA = µB

Ha : µA  ≠ µB

Since we have ≠  inequality in alternative hypotheses so it is Two tailed test.

 

Step 3 :

Part 1)

Here note that "Population Standard deviations" are known to us so we will perform Z test for two samples.

 

steps

Step by step

Solved in 6 steps with 1 images

Blurred answer
Knowledge Booster
Basics of Inferential Statistics
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
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