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
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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
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