A research team took a random sample of 6 observations from a normally distributed random variable Y and observed that V6 = 481.8 and sy = 382.6, where yo was the average of the 6 observations sampled from Y and sy was the unbiased estimate of var(Y) (i.e., the divisor in the variance was n - 1). A second research team took a random sample of 7 observations from a normally distributed random variable X and observed that x7 = 342.6 and Sy = 421.8, where x, was the average of the 7 observations sampled from X and so was the unbiased estimate of var (X ) (i.e., the divisor in the variance was n - 1). a. Find the 95% confidence interval for E(X) - E(Y). This part is worth 45 points. b. What is the correct decision for the test Ho: E(X) - E(Y) = 0 against the alternative H, : E(X) - E(Y) + 0 at the 0.05 significance level. This part is worth 5 points