According to a survey, the average American person sleeps for 8 hours per day. To test if the amount sleep 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 23 New Yorkers randomly and asks them about their amount of sleep each day, on average. From the data, the sample mean time is 7.4 hours per day, and the sample standard deviation (s) is 0.9 hours. H0: μ≤8; Ha: μ>8. α=0.01 (significance level) What is the test statistic (t-value) of this one-mean hypothesis test (with σ unknown)? Round your final answer to two decimal places.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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According to a survey, the average American person sleeps for 8 hours per day. To test if the amount sleep 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 23 New Yorkers randomly and asks them about their amount of sleep each day, on average. From the data, the sample mean time is 7.4 hours per day, and the sample standard deviation (s) is 0.9 hours.

  • H0: μ≤8; Ha: μ>8.
  • α=0.01 (significance level)

What is the test statistic (t-value) of this one-mean hypothesis test (with σ unknown)?

  • Round your final answer to two decimal places.
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