Current Attempt in Progress Use the formula to find the standard error of the distribution of differences in sample means, $1 - 12. Samples of size 100 from Population 1 with mean 82 and standard deviation 14 and samples of size 70 from Population 2 with mean 74 and standard deviation 18 Round your answer for the standard error to two decimal places. standard error - eTextbook and Media Use the t-distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from random samples, and if the sample sizes are small, assume the underlying distributions are relatively normal. Test Ho : M1 = /2 VS Ha : /1 > #2 using the sample results .*] = 56, $1 = 8.2 withn = 30 and X2 = 51,$2 = 6.9withng = 40. (a) Give the test statistic and the p-value. Round your answer for the test statistic to two decimal places and your answer for the p-value to three decimal places. test statistic - i p-value