Suppose you are interested in testing the claim that the mean systolic blood pressure of a population-is 121-mmig. You gather a simple random sample from the population ; below are your results S = [ 134 . 2 , 1218 , 121 4, 12 2 . 1, 121.1, 128.8, 127.5, 1214 12 2 1, 12 0. 3 ] sample mean : 124-87 sample standard deviation : 4.4945 ( a) what is the standard error associated to an * estimate for the unbiased population mean ? ( b ) What is the positive critical value associated to a two-side alpha level of 2 3% ? Round to 4 decimal places it needed 2. Round to 2 decimal places if needed What are the lower and upper boundaries of a 2.3/ two-sided confidence interval for the population mean ? Lower Boundary = [a], Upper Boundary = Lb] 3. Round to 4 decimal places if needed (a ) What is the associated test statistic for your study ? (b ) What is the associated p- value for your study?4. Round all of the answers below to s- decimal places. Assume the sample of reference is of size 17. ( a) What is the two- sided p-value associated to a T test statistic of 2.45 ? ( b) What is the two-sided p- value associated to a T test statistic of - 1. 867