Many properties of the fabric used in different textiles, such as sheets and clothing, are influenced by whether the diameter of yarn used in the creation of the textile is consistent. Therefore, various methods can be used to measure the diameter of yarn at specified intervals, such as every 2 mm, to determine the consistency of the diameter. These measurements are normally distributed. Suppose that one textile manufacturer will not use any yarn in which the variance of the diameters is greater than 0.0025 mm. In order to ensure that the yarn is usable, the diameter of a length of yarn is measured at 200 random intervals. The variance of those measurements is found to be 0.002850 mm. Does this evidence provide support that the batch of yarn is unusable by the manufacturer? Use a 0.025 level of significance. Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. Answer Ho :6² = 0.0025 Ha:6² O V 0.0025 Keypad Keyboard Shortcuts Tables

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
100%

Step 1 of 3: State the null and alternative hypotheses for the test.

Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places.

Step 3 of 3: Draw a conclusion and interpret the decision.

Many properties of the fabric used in different textiles, such as sheets and clothing, are influenced by whether the diameter of yarn used in
the creation of the textile is consistent. Therefore, various methods can be used to measure the diameter of yarn at specified intervals,
such as every 2 mm, to determine the consistency of the diameter. These measurements are normally distributed. Suppose that one
textile manufacturer will not use any yarn in which the variance of the diameters is greater than 0.0025 mm. In order to ensure that the
yarn is usable, the diameter of a length of yarn is measured at 200 random intervals. The variance of those measurements is found to be
0.002850 mm. Does this evidence provide support that the batch of yarn is unusable by the manufacturer? Use a 0.025 level of
significance.
Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below.
Answer
1:0²:
Hoo
H₂:0²
Ha o
= 0.0025
^
0.0025
Tables
Keypad
Keyboard Shortcuts
Transcribed Image Text:Many properties of the fabric used in different textiles, such as sheets and clothing, are influenced by whether the diameter of yarn used in the creation of the textile is consistent. Therefore, various methods can be used to measure the diameter of yarn at specified intervals, such as every 2 mm, to determine the consistency of the diameter. These measurements are normally distributed. Suppose that one textile manufacturer will not use any yarn in which the variance of the diameters is greater than 0.0025 mm. In order to ensure that the yarn is usable, the diameter of a length of yarn is measured at 200 random intervals. The variance of those measurements is found to be 0.002850 mm. Does this evidence provide support that the batch of yarn is unusable by the manufacturer? Use a 0.025 level of significance. Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. Answer 1:0²: Hoo H₂:0² Ha o = 0.0025 ^ 0.0025 Tables Keypad Keyboard Shortcuts
Expert Solution
steps

Step by step

Solved in 5 steps

Blurred answer
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