Question 1 Suppose we have taken a sample of size 13 from a population that is normally distributed with population variance 5. We find that the sample mean is 80, and the sample variance is 7. Calculate the value of x- based on the formula for the sampling distribution of S". Round your answer to 3 decimals. Find the probability that the sample variance is less than 7. Round your answer to 4 decimals. Question 2 Suppose we have taken a sample of size 13 from a population that is normally distributed with population variance 8. We find that the sample mean is 80, and the sample variance is 14. Calculate the value of x- based on the formula for the sampling distribution of S". Round your answer to 3 decimals. Find the probability that the sample variance is greater than 14. Round your answer to 4 decimals