Question

Inspector Confidence wanted to estimate the mean weight of the eggs. He computed the 95% confidence interval estimate for \mu to be (47.52, 49.78). On the basis of this interval, what can he say about whether the mean weight of the eggs differs from 50 grams?

Answer 1

Answer on Question #38777, Math, Statistics and Probability

Inspector Confidence wanted to estimate the mean weight of the eggs. He computed the 95% confidence interval estimate for $\mu$ to be (47.52, 49.78). On the basis of this interval, what can he say about whether the mean weight of the eggs differs from 50 grams?

Answer

In our example, the confidence interval (47.52, 49.78) does not contain 50, indicating that mean weight of the eggs does not equal 50 grams at the 0.05 level of significance.