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A bottling plant needs to know how to report its success in filling 2-liter (2 L)...

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Statistics

A bottling plant needs to know how to report its successin filling 2-liter (2 L) bottles. From previous work, they knowthat the population standard deviation is ±0.05 L.


a. For this part, assume an “infinite”population. They sample 35 bottles and obtain a samplemean of 1.99 L. For 95% confidence, what is the estimate of therange of the population mean?
b. For this part, assume an “infinite”population. If they desire an estimate of the interval forthe population mean that is ±0.01 L, how many samples do they needto examine (with 95% confidence).

Answer & Explanation Solved by verified expert
3.8 Ratings (755 Votes)
a sample mean xbar 199 sample standard deviation 005 sample size n 35 Given CI level is 95 hence 1 095 005 2 0052 0025 Zc Z2 196 ME zc sqrtn ME 196    See Answer
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