The distribution of actual weights of 8-oz chocolate bars produced by a certain machine is normal with mean 7.8 ounces and standard deviation 0.13 ounces. Round your z-score to 2 decimal places. (a) What is the probability that the average weight of a bar in a Simple Random Sample (SRS) with four of these chocolate bars is between 7.7 and 7.93 ounces? Give your answer to at least 4 decimal places. ANSWER: 0.9155 (b) For a SRS of four of these chocolate bars, what is the level L such that there is a 2% chance that the average weight is less than L? Give your answer to at least 3 decimal places. ANSWER: 7.667

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