From a recent production run of compact fl uorescent (cf) bulbs, you select a random sample of 10 bulbs. using an accelerated bulb life simulation, you fi nd that the average life for the bulbs in the sample is 2440 hours, with a sample standard deviation of 60 hours. use these sample results to test, at the 5% signifi cance level, the null hypothesis that the average life for the full population—the entire production run—of bulbs is pre-cisely 2500 hours, no more and no less. report your con-clusion and explain. "

Our star pitcher, foster enlight, can throw a pitch so fast that it gets to the catcher’s mitt before it leaves foster’s fingers! if the team wins a game then the probability that foster was pitching is 0.8 but only if foster had at least one day’s rest since his last pitching assignment. if foster does not have a day off and the team still wins, the probability that foster was pitching drops by half of what it was on the previous day. if the team wins three games in succession from the toronto tachyons and foster pitched in game #2, what is the probability that he pitched in one or more of the other games? (assume that foster did not pitch on the day before the first game of this three game series.)