Contact s statistics: Power of Data, 1st Edition, WileyPLUS custom Course for un

Question

Contact s statistics: Power of Data, 1st Edition, WileyPLUS custom Course for unlocking the Statistical Methods And Motivatio (STA, 29 University of Kentucky etice Assignment Gradebook NEXT Exercise 144 Chapter 6 Section 6 Getting Enough Sleep? is generally recommended that adults sleep at least 8 hours each right one of the authors recently asked some of her students (undergraduate and graduate students at Harvard) how many hours each had slept the previous night, curious as to whether her students are getting enough sleep. The data are displayed in Figure 1. The 12 students sampled averaged 6.2 hours of sleep wth a standard deviation of 70 hours. Assuming this sample is representative of al her students, and assuming students need at least 8 hours of sleep a night, does this previde evidence that, on average, her students are not getting enough sleep? 10 Hours of Sleep Figure 1 Hours or sleep for Harvard statstics studenes Version 4.22.1 s

Explanation / Answer

The statistical software output for this problem is:

One sample T hypothesis test:
: Mean of population
H0 : = 8
HA : < 8

Hypothesis test results:

Hence,

H0: = 8 vs Ha : < 8

Test statistic = -3.67

P value = 0.002

Reject H0

Yes, the data provides sufficient evidence that students are not getting proper sleep.

Mean Sample Mean Std. Err. DF T-Stat P-value 6.2 0.49074773 11 -3.6678723 0.0019

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