BIG Corporation advertises that its light bulbs have a meanlifetime, u , of 3000 hours. Suppose that we have reason to doubtthis claim and decide to do a statistical test of the claim. Wechoose a random sample of light bulbs manufactured by BIG and findthat the mean lifetime for this sample is 2860 hours and that thesample standard deviation of the lifetimes is hours. Based on thisinformation, answer the questions below. What are the nullhypothesis (H0) u is less than, less than or equal to, greaterthan, greater than or equal to , not equal to, equal to 2860. 3000.700? and the alternative hypothesis (H1) is ( same options above)2860, 3000, 700? that should be used for the test? : is : is In thecontext of this test, what is a Type II error? A Type II error isrejecting, failing to reject the hypothesis that is when, in fact,is . Suppose that we decide to reject the null hypothesis. Whatsort of error might we be making? typeI or type II?
