Parts (a) and (b) of this problem are very similar; be sure you see the difference. (a) You know a certain population of numbers has variance 6.2 and you thought the mean was 70.18. You take a sample of 50 and find a sample mean of 69.3. What do you think now? (b) You have good reason to think the mean of a certain population is 70.18. The variance is unknown. You take a sample of ten and obtain a sample mean of 69.3 and sample variance of 6.2. Now what do you think about the mean? (c) Which yields a more certain conclusion, part (a) or part (b)?
Parts (a) and (b) of this problem are very similar; be sure you see the difference. (a) You know…
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