Test the following hypotheses: H0: σ=1.2 vs. H1: σ≠1.2 Equivalently, we have the hypotheses: H0: σ=1.4 vs. H1: σ≠1.4 Answer the following questions: The rejection region is of the form [0,a] U [b,∞). What is the value of a and b? (Write the answers in 3 decimal places) Does the outcome of the test reject or do not reject the null hypothesis?
A company produces metal pipes of a standard length, and claims that the standard deviation of the length is at most 1.2 cm. One of its clients decides to test this claim by taking a sample of 25 pipes and checking their lengths. They found that the standard deviation of the sample is 1.5 cm. Use a = 0.05 as the level of significance.
Test the following hypotheses:
H0: σ=1.2 vs. H1: σ≠1.2
Equivalently, we have the hypotheses:
H0: σ=1.4 vs. H1: σ≠1.4
Answer the following questions:
The rejection region is of the form [0,a] U [b,∞).
What is the value of a and b? (Write the answers in 3 decimal places)
Does the outcome of the test reject or do not reject the null hypothesis?
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