5.) A research team took a sample of 8 observations from the random variable Y, which had a normal distribution N(u, o). They observed y = 187.6, where ys was the average of the 8 sampled observations and s = 808.5 was the observed value of the unbiased estimate of 2 based on the sample values. (a) Find the 95% confidence interval for o. This part is worth 40 points. (b) What is the correct decision for the test Ho: 02 = 800 against the alternative H: 800 at the 0.05 level of significance? This part is worth 10 points.