In: Statistics and Probability
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 not gotten at least the recommended 8 hours of sleep at the α = .1 level. The distribution of sleep for this population follows a normal distribution.
c) Please use R to compute the test statistic and report the answer rounded to 3 decimal places here.
This problem is solved by using R
Output is :
Summary :
Test statistic = -2.680
Critical value = -1.333
Decision : Reject Ho
Conclusion : There is sufficient evidence to support the claim that the class’s student population on average has not gotten at least the recommended 8 hours of sleep at the α = .1 level.
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