According to a survey, the average young adult male plays video games for 4 hours per week. To test if the amount of video games in college is less than the national average, a researcher decides to do a hypothesis test, at a 10% significance level. He surveys 16 male college students randomly and asks them about their amount of video games each week, on average. From the data, the sample mean time is 3 hours per week, and the sample standard deviation (s) is 1.2 hours. H0: μ≤4; Ha: μ>4. α=0.1 (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. Provide your answer below:

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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According to a survey, the average young adult male plays video games for 4 hours per week. To test if the amount of video games in college is less than the national average, a researcher decides to do a hypothesis test, at a 10% significance level. He surveys 16 male college students randomly and asks them about their amount of video games each week, on average. From the data, the sample mean time is 3 hours per week, and the sample standard deviation (s) is 1.2 hours.

  • H0: μ≤4; Ha: μ>4.
  • α=0.1 (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.

Provide your answer below:

 
$$Test Statistic =
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