According to a survey, the average American person exercises 3 hours per week. To test if the amount of exercise in New York City is less than the national average, a researcher decides to do a hypothesis test, at a 1% significance level. He surveys 27 New Yorkers randomly and asks them about their amount of exercise each week, on average. From the data, the sample mean time is 2 hours per week, and the sample standard deviation (s) is 0.7 hours.
- H₀:ji < 3; Hₐiji > 3.
- a = 0.01 (significance level)
What is the test statistic (t-value) of this one-mean hypothesis test (with o unknown)?
Round your final answer to two decimal p