The confidence interval to be constructed is the t-confidence interval.
What kind of confidence interval should be constructed
From the question, we have the following parameters that can be used in our computation:
- Weight of chips = 12 oz
- Sample size = 35 bags
- Mean weight = 12.12 oz
- Standard deviation = 0.1 oz
The questions implies that we state the confidence interval that is best for estimating the true average weight of chips in all bags filled by the machine, not just the 35 bags we sampled.
Since we don't know the population standard deviation, we need to use a t-distribution instead of the standard normal distribution.
This is also known as the t-confidence interval.