In: Statistics and Probability
Dr. Morozov is interested in whether people who live in noisy parts of a city have worse hearing. To test this, she administers hearing tests to 6 randomly selected healthy eighteen-year-olds who have grown up in one of the noisiest parts of the city. On the hearing test, they obtain a score of M = 17, s = 3.10. This test was designed so that healthy 18-year-olds should score 20 (i.e.μ = 20, σ is unknown). Go through the hypothesis testing steps and test the hypothesis that the sample has worse hearing than expected (one-tailed). Set a = .05. (Hint: One-sample t-test).