2. an automated filling machine is used to fill bottles with liquid detergent. a random sample of 20 bottles results in a sample standard deviation of fill volume of 0.12369 fluid ounces. if the standard deviation of fill volume exceeds 0.10 fluid ounces, an unacceptable proportion of bottles will be underfilled or overfilled. is there evidence in the sample data to suggest that the manufacturer has a problem with underfilled or overfilled bottles? use α = 0.05, and assume that fill volume has a normal distribution.