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Statistics & DataEasyHypothesis Tests

Hypothesis Tests · Easy problem

A machine's fill volumes have known σ=15\sigma = 15 mL. To test H0 ⁣:μ=100H_0\!: \mu = 100 against Ha ⁣:μ>100H_a\!: \mu > 100 at α=0.05\alpha = 0.05 with a sample of 25, we reject H0H_0 when xˉ>c\bar x > c. Using z∗=1.645z^* = 1.645, find cc. Give the exact decimal.