Question 1161569: A production process for your firm must fill bottles of pure bavarian spring water with at least 16.2 ounces. Otherwise, the process is discontinued while adjustment are made. As the resident statistician for the firm, you have been charged with the responsibility of determining if the process is working properly. You take a sample of 24 bottles and find a mean weight of 15.7 ounces and a standard deviation of 3.7 ounces. Should you order that the process be shut down for adjustments? Your superior will not accept anything less than 99 percent confidence.
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! half-interval for a t mean +/-is t0.995 df=23*s/sqrt(n). Can do hypothesis testing, but the problem really asks for a confidence interval.
=2.807*3.7/sqrt(24)
=2.120 oz
The interval is (13.6 oz, 17.8 oz). This contains the value 16.2 oz., so the process is within range with 99% confidence.
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