Researcher found that fifth-grade students completed more mathematics problems correctly when simple problems were mixed in with their regular math assignments. in order to test this hypothesis, a researcher selects a standardized mathematics achievement test that produces a normal distribution of scores with a mean of μ = 100 and standard deviation of σ =18. the researcher modifies the test by inserting a set of very easy problems among the standardized questions, and gives the modified test to a sample of n = 36 students. if the average test score for the sample is m = 104, (use α = .01), figure the 99% of confidence interval (do not need to conduct a hypothesis test)