BIG Corporation advertises that its light bulbs have a mean lifetime, u, of 3000 hours. Suppose we have good reason to believe that u is different from 3000 hours and decide to do a 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 is 3200 hours and that the sample standard deviation of the life times is 750 hours. Based on this information, complete the parts below. (a) What are the null hypothesis H, and the alternative hypothesis H₁ that should be used for the test? HO (b) Suppose that we decide to reject the null hypothesis. What sort of error might we be making? (Choose one) ▼ (c) Suppose the true mean lifetime of BIG's light bulbs is 3220 hours. Fill in the blanks to describe a Type II error. A Type II error would be (Choose one) (Choose one) (Choose one) ▼ (Choose one) the hypothesis that μ is when, in fact, u is H O<0 020 Ix OSO >0 ローロ ロメロ

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