two randomly assigned groups are compared in a health pilotevaluation project. data down on both groups are assumed to benormally distributed. the mean for the group 1 is 280, with astandard deviation of 15. the mean for group 2 is 230, with astandard deviation of 8. the number of observation for each groupis 45. assume the level of significance is 5%. determine whetherthese two groups are statistically similar. show your hypothesis,calculated and critical t-values, decision and conclusion.