Answer:
(15.8495,16.2505)
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 16.05 ounces
Standard Deviation, σ = 0.2005 ounces
We are given that the distribution of amount poured into the bottles is a bell shaped distribution that is a normal distribution.
Empirical rule:
- It states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ).
- It shows that 68% falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).
Confidence interval:
Putting the values, we get,