What is the probability that the milk filling machine will fill a bottle between 20 and 20.81

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answerhappygod
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What is the probability that the milk filling machine will fill a bottle between 20 and 20.81

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A milk filling machine has a mean fill liquid volume that is normally distributed with a mean of 20 ounces. The standard deviation of the distribution is unknown. To test whether this machine is properly calibrated, the manager of the filling plant takes a sample of 25 bottles. The sample mean is 20.81 ounces. Because the standard deviation is unknown, the manager computes the standard deviation of the sample, which is calculated as 3.
Assuming the machine does not need to be recalibrated, what is the probability that the milk filling machine will fill a bottle between 20 and 20.81 ounces?


0.40
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