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An important part of any dispensing process is statistical quality control. At the Billy Goat Gruff...

An important part of any dispensing process is statistical quality control. At the Billy Goat Gruff Inn, machines are set to dispense 600 ml of soda into every customer's glass. Over time, however, the machine can get "out of control" and dispense too much soda or too little. During 48 hours, every hour, the owner dispenses and checks a glass of dispensed soda and determines the actual volume of soda dispensed. The average volumes of the dispensed soda during the 48 hours were 959]and the sample standard deviation was 15. Find the test statistic value to test if there is a enough evidence to conclude that the dispensing machine needs some adjustment. Record only your final answer with 4 decimals.

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