1. A research team took a random sample of 8 observations from a normally distributed random variable Y and observed that yg = 800.5 and s = 253.6, where yg was the average of the 8 observations sampled from Y and s 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 9 observations from a normally distributed random variable X and observed that x, = 744.6 and S = 330.2, where x, was the average of the 9 observations sampled from X and s was the unbiased estimate of var(X) (i.e., the divisor in the variance was n1). Test the null hypothesis Ho: E(X) = E(Y) against the alternative H: E(X) = E(Y) at the 0.10, 0.05, and 0.01 levels of significance using the pooled variance t-test. This problem is worth 50 points.