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A textile fiber manufacturer is investigating a new drapery yarn, which the comp

ID: 3226701 • Letter: A

Question

A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. The company wishes to test the hypothesis Ho: mu =12 against H1: mu < 12 using a random sample of n specimens. Find the boundary of the critical region if the type I error probability is given below. Let Xbar represent the critical value for the mean.
A) alpha = 0.03 and n = 16; Xbar =?
B) alpha = 0.05 and n =16; Xbar =?
C) alpha = 0.03 and n = 25; Xbar = ?
D) alpha = 0.05 and n =25; Xbar = ?

Explanation / Answer

Here we use the t distribution

so we get

A. -2.034

B.-1.753

C.-1.974

D.1.71

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