1. Research question: Is the population mean different from 50? Ho: u= 50 Ha: u# 50 In a large sample, a mean of 56.33 was observed. The standard error was 7.139 Compute the test statistic using the general form of a test statistic: Round your final answer to three decimal places. 2. Ho: H1 - H2 = 0 Ha: [1 - 12 # 0 In a large sample, x 1-X 2 =17 StatKey was used to construct a randomization distribution which was normally distributed with a standard error of 8 Compute the test statistic using the formula from the online notes: Round your final answer to three decimal places. 3. In a very large random sample, a Pearson's /correlation coefficient of 0.200 was observed. The sampling distribution was normal with a standard error of 0.100 A. [3 points] Construct a 98% confidence interval for the correlation in the population. Round your answer to 3 decimal places. Use the "Insert Math Equation" function to show all of your work. Use the general form of a confidence interval: samplestatistic+z*(SE) B. [2 points] Interpret your confidence interval (i.e., "I am 98% confident that...")