Final answer:
To find a 99% confidence interval, we need to consider a larger margin of error based on the 95% confidence interval provided.
Step-by-step explanation:
A 99% confidence interval for the true average weight gain can be calculated based on the 95% confidence interval provided. To find the 99% confidence interval, we need to consider a larger margin of error. Since the 95% confidence interval is (7.035, 9.355), we can use the formula: Margin of Error = (Critical value) * (Standard Error). The critical value for a 99% confidence level is larger than the critical value for a 95% confidence level. By using the critical value for a 99% confidence level and the same standard error, we can calculate the 99% confidence interval.
For example, if the standard error is 0.5:
99% Confidence Interval = (7.035 - (2.576 * 0.5), 9.355 + (2.576 * 0.5))
99% Confidence Interval = (6.268, 10.442) (rounded to three decimal places)