When a manufacturing process is operating properly, the mean length of a certain part is known to be 6.175 inches, and lengths are normally distributed. The standard deviation of this length is 0.0080 inches. If a sample consisting of 6 items taken from current production has a mean length of 6.168 inches, is there evidence at the 5% level of significance that some adjustment of the process is required? Given: mu, o, n, x, 5% level of significance Approach: compare z-values (test statistic z vs critical z1=-1.96); p-values (O (-z1) and 1- 0 (z1) vs 5%); x values (critical x value vs x)

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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When a manufacturing process is operating properly, the mean length of a certain part
is known to be 6.175 inches, and lengths are normally distributed. The standard
deviation of this length is 0.0080 inches. If a sample consisting of 6 items taken from
current production has a mean length of 6.168 inches, is there evidence at the 5%
level of significance that some adjustment of the process is required?
Given: mu, o, n, x, 5% level of significance
Approach: compare z-values (test statistic z vs critical z1=-1.96); p-values (O (-z1) and
1- 0 (z1) vs 5%); x values (critical x value vs š)
Transcribed Image Text:When a manufacturing process is operating properly, the mean length of a certain part is known to be 6.175 inches, and lengths are normally distributed. The standard deviation of this length is 0.0080 inches. If a sample consisting of 6 items taken from current production has a mean length of 6.168 inches, is there evidence at the 5% level of significance that some adjustment of the process is required? Given: mu, o, n, x, 5% level of significance Approach: compare z-values (test statistic z vs critical z1=-1.96); p-values (O (-z1) and 1- 0 (z1) vs 5%); x values (critical x value vs š)
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