Question
A manufacturer of LED bulbs claims that the average lifespan of their bulbs is 8000 hours. A random sample of 50 bulbs is tested, and it is found that their average lifespan is 7950 hours with a standard deviation of 120 hours.
Test the manufacturer's claim at a 5% level of significance. State your null and alternative hypotheses clearly. (Given Z₀.₀₂₅ = 1.96 for a two-tailed test).
Answer :
Word Count : 227
The null hypothesis (H₀) assumes that the manufacturer's claim is correct: H₀: μ = 8000 hours. The alternative hypothesis (H₁) assumes that the average lifespan differs from the claim: H₁: μ ≠ 8000 hours. Given a sample size of n = 50, sample mean $\bar{x} _________ ______ _________ ______ ________ ______ _________ _______ __________ _____ __________.
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The null hypothesis (H₀) assumes that the manufacturer's claim is correct: H₀: μ = 8000 hours. The alternative hypothesis (H₁) assumes that the average lifespan differs from the claim: H₁: μ ≠ 8000 hours. Given a sample size of n = 50, sample mean $\bar{x} _________ ______ _________ ______ ________ ______ _________ _______ __________ _____ __________.
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