3. A controlled trial was conducted to evaluate the effects of an experimental drug A at four dose levels on the expectation of the normally distributed response variable y . The four dose levels, labeled a, b, c, d. The y-responses within and across the four dose levels are statistically independent. The variance of y is equal at each observation across the four dose levels and it is denoted by 2. Use any math/stat software (e.g., www.numbergenerator.org/randomnumbergenerator) of your choice to find a random number generator to randomly select from the dataset "Exam 2 Problem 3 data.txt" 10 rows of A = a, 10 rows of A = b, 10 rows A = c, 10 rows of A = d. List which rows of the data you selected. Fill the blanks (i.e., sample mean, sample standard deviation) in Table 2 and show your calculations. Table 2 b C d sample size 10 10 10 10 y: sample mean y: sample SD SD = standard deviation Denote the expected value of y at dose i by E(y | i), i = a, b, c, d Denote a dose-response parameter by 0 = 3 E ( y | a) E( y | b) + E( y | c) + 3 E( y | d) . - Use only Table 2 results to test Ho: 0 = 0 and H: 0 0 at = 0.05. [10 points]