Two recipes for pineapple upside-down muffin cakes are being compared. The goal is to find the recipe for which the gooey filling remains in the muffin the most while being eaten (higher is better). Twenty muffins were baked from each recipe, sliced in half, and left to stand for 20 minutes, with the percent of filling remaining in the muffin taken as the response variable. A confidence interval for the mean difference between the two groups (Recipe 1 - Recipe 2) is given below (two sample t-test), use the output to choose the true statements.

Estimation for Difference

Difference 0.1146

95% CI for Difference (0.0834, 0.1459)

Answers

1. Experimenters should fail to reject the null that the two recipes retain the same amount of filling.

2. If the interval were a 99% Confidence Interval, all else remaining the same, the interval would not include 0.10.

3. This Confidence Interval has a 5% Type I error rate.

4. Recipe 2 retains a higher percentage of the filling after 20 minutes