5. A bottling company uses a filling machine to fill plastic bottles with cola. The contents vary according to a normal

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5. A bottling company uses a filling machine to fill plastic bottles with cola. The contents vary according to a normal

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5 A Bottling Company Uses A Filling Machine To Fill Plastic Bottles With Cola The Contents Vary According To A Normal 1
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5 A Bottling Company Uses A Filling Machine To Fill Plastic Bottles With Cola The Contents Vary According To A Normal 2
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5 A Bottling Company Uses A Filling Machine To Fill Plastic Bottles With Cola The Contents Vary According To A Normal 3
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5. A bottling company uses a filling machine to fill plastic bottles with cola. The contents vary according to a normal distribution with mean 298 ml and standard deviation 3 ml. i) Find the 60 percentile value. ii) What is the probability to get an individual bottle has less than 295 ml? iii) Find the range of individual values to be in the middle 95% area. iv) Describe the sampling distribution of sample means when random sampling is done with 150. Then, find the probability that a sample mean contents exceeds 299 ml.
v) Find the range of sample mean values to be in the middle 90% area when sampling is done with SRS of 250. ) vi) Find the probability that a sample mean is less than 298ml when sampling is done with sample size 100.
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