1. The filling machine at a bottling plant is operating correctly when the variance of the fill amount is equal to 0.3 ounces. Assume that the fill amounts follow a normal distribution. Assuming the bottling plant is operating correctly, what is the probability that for a sample of 30 bottles the sample variance is greater than 0.5?

Group of answer choices

.341

.482

.795

.992

.014

2. Using the information in Question 1 (and assuming the plant is operating correctly), for a sample of 30 bottles the probability is 0.1 that the sample variance is less than what number?

Group of answer choices

7.71

.20

19.77

15.23

.68