Questions: 8.2 Homework
Question 10 of 12 (1 point) Question Attempt 1 of Unlimited
Eat your cereal: Boxes of cereal are labeled as containing 14 ounces. Following are the weights, in ounces, of a sample of 14 boxes. It is reasonable to assume that the population is approximately normal.
13.09 14.96 13.18 13.19 13.17 13.09 13.22 14.96 13.12 13.11 13.18 13.19 13.05 13.04
Part 1 of 2
(a) Construct a 99.5% confidence interval for the mean weight. Round the answers to at least three decimal places.
A 99.5% confidence interval for the mean weight is <μ<.
Transcript text: 8.2 Homework
Question 10 of 12 (1 point) Question Attempt 1 of Unlimited
Eat your cereal: Boxes of cereal are labeled as containing 14 ounces. Following are the weights, in ounces, of a sample of 14 boxes. It is reasonable to assume that the population is approximately normal.
13.09 14.96 13.18 13.19 13.17 13.09 13.22 14.96 13.12 13.11 13.18 13.19 13.05 13.04
Part 1 of 2
(a) Construct a $99.5 \%$ confidence interval for the mean weight. Round the answers to at least three decimal places.
A $99.5 \%$ confidence interval for the mean weight is $\square$ $<\mu<$ $\square$.
Solution
Solution Steps
Step 1: Calculate the Mean
The mean weight of the cereal boxes is calculated using the formula: