Question

In: Statistics and Probability

In a class survey, students are asked how many hours they sleep per night. In the...

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.

Solutions

Expert Solution

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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