BIG Corporation advertises that its light bulbs have a mean lifetime, µ, of at least 3000 hours. Suppose that we have reason to doubt this claim and decide to do statistical test of the claim.
BIG Corporation advertises that its light bulbs have a mean lifetime, µ, of at least 3000 hours. Suppose that we have reason to doubt this claim and decide to do statistical test of the claim. We choose a random sample of light bulbs manufactured by BIG and find that the mean lifetime for this sample 2860 hours and that the sample standard deviation of the lifetimes is 600 hours.
Based on this information, answer thi questions below.
What are the null hypothesis (H0) and the alternative hypothesis (H1) that should be used for the test?
H0 : µ is ____ ? _____
H1: µ is ____ ? ____
In the content of this test, what is a Type I error?
A Type I error is ________ the hypothesis that µ is? _______ ?_______ when, in fact, µ is ? _______
Suppose that we decide to reject the null hypothesis. What sort of error might we be making? ______
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