A researcher wants to determine whether or not a given drug has any effect on the scores of human subjects performing a task of ESP sensitivity. He randomly assigns his subjects to one of two groups. Nine hundred subjects in group 1 (the experimental group) receive an oral administration of the drug prior to testing. In contrast, 1000 subjects in group 2 (control group) receive a placebo (dummy). The results of the study found the following: For the drug group, the mean score on the ESP test was 9.78, standard deviation was 4.05, n = 900. For the no-drug group (placebo), the mean = 15.10, standard deviation was 4.28, n = 1000.
a. State the Null and Alternate hypothesis.
b. What is your conclusion after calculating Z and determining Z critical?