Suppose it is desired to estimate the variance of the tensile strength of a particular type of thread. For 21 pieces of this type of thread, E (X, – X ave)² = 2000. - Suppose a hypothesis testing procedure is wished to be carried out to check whether or not it is safe to assume that the variability in tensile strength of thread is 110. Derive the condition that needs to be satisfied, expressed in terms of the value of s² (sample variance), such that the null hypothesis will be accepted. (Use 0.05 level of significance.) What is the maximum value of s² such that we still accept tensile strength variability to be 110?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Suppose it is desired to estimate the variance of the tensile strength of a particular type of thread. For 21 pieces of this type of thread,
E (X; – Xave)² = 2000.
Suppose a hypothesis testing procedure is wished to be carried out to check whether or not it is safe to assume that the variability in tensile strength of thread is
110. Derive the condition that needs to be satisfied, expressed in terms of the value of s? (sample variance), such that the null hypothesis will be accepted. (Use
0.05 level of significance.) What is the maximum value of s? such that we still accept tensile strength variability to be 110?
Transcribed Image Text:Suppose it is desired to estimate the variance of the tensile strength of a particular type of thread. For 21 pieces of this type of thread, E (X; – Xave)² = 2000. Suppose a hypothesis testing procedure is wished to be carried out to check whether or not it is safe to assume that the variability in tensile strength of thread is 110. Derive the condition that needs to be satisfied, expressed in terms of the value of s? (sample variance), such that the null hypothesis will be accepted. (Use 0.05 level of significance.) What is the maximum value of s? such that we still accept tensile strength variability to be 110?
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