In: Statistics and Probability
Two randomly assigned groups are compared in a health pilot evaluation project. Data drawn on both groups are assumed to be normally distributed. The mean for group 1 is 280, with a standard deviation of 15. The mean for group 2 is 230, with a standard deviation of 8. The number of observations for each group is 45. Assume the level of significance is 5 %. Determine whether these two groups are statistically similar. Show your hypotheses, calculated and critical t-values, decision and conclusion.