A researcher tests their new treatment for sleep disorder among a sample of 16 individuals who have been diagnosed with a sleep disorder. The researcher knows that individuals diagnosed with a sleep disorder tend to have sleep quality scores that form a normal distribution with a = 50 (the s is not known) and predicts that the new treatment will improve their sleep (higher scores mean higher improvement). After the treatment is administered to individuals in the sample, the mean is found to be M = 55 and the variance is s2 = 64. Conduct all of the steps of hypothesis testing using an alpha = .05.