In: Statistics and Probability
A container of car antifreeze is supposed to hold 3785 mL of
the liquid. Realizing that...
- A container of car antifreeze is supposed to hold 3785 mL of
the liquid. Realizing that there is variation in the filling of the
containers, the quality-control manager of the Taconic Chemical
Company wants to be quite sure that the standard deviation of the
filling process is less than 30 ml. Otherwise some containers would
overflow and others would not have enough coolant. A random sample
of 40 containers is selected and the mean is 3789 ml and the
standard deviation is 42.8 ml.
- Check requirements before computing confidence interval.
- If requirements are met, use StatCrunch to obtain a 95%
confidence interval estimate of the true value of the standard
deviation of the filling process.
- Write interpretation of the confidence interval. Is the
standard deviation of the filling process less than 30 ml?