Question

A quality control inspector selects 12 bottles of apple juice at random from a single day’s production. The mean amount of apple juice in the bottles is 298.3 milliliters, and the 95% confidence interval for the true mean amount of juice dispensed per bottle is (296.4, 300.2). Does this interval give the quality control inspector reason to believe that the mean amount of juice in today’s bottles differs from 300 milliliters, as the juice label promises?

Answer 1

The confidence interval indicates that the mean amount of juice in today's bottles may differ from the promised amount

Step-by-step explanation:

The quality control inspector selected 12 bottles of apple juice at random from a single day's production. The mean amount of apple juice in the bottles is 298.3 milliliters, and the 95% confidence interval for the true mean amount of juice dispensed per bottle is (296.4, 300.2). The interval helps us estimate the true mean amount of juice in today's bottles.

Since the interval (296.4, 300.2) does not include 300 milliliters, the quality control inspector can conclude that the mean amount of juice in today's bottles is likely to differ from the promised amount of 300 milliliters.