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In: Statistics and Probability

Exercise 4. A different analysis of the sleep problem In a class survey, students are asked...

Exercise 4. A different analysis of the sleep problem
In a class survey, students are asked how many hours they sleep per night. In the random sample of 18 students, the (sample) mean is 6.8 hours with a (sample) standard deviation of 1.9 hours. We wish to know if this shows that the class’s student population on average has gotten a different amount of sleep from the recommended 8 hours of sleep at the α = .01 level. The distribution of sleep for this population follows a normal distribution.

h) There is a link between confidence intervals and p-values: if you return to the confidence interval in 4e to g, is 8 included in the interval? Please answer

  • yes or no
  • give the interpretation of the 98% CI
  • explain if this matches or doesn't match your hypothesis test finding from part d.
  • try to put in words the link between hypothesis testing and the confidence interval

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