Question 725376: Dr. Simpson was surprised to learn that her 28 students get on average 7.2 hours of sleep per night (s=0.80). She had just read that the national average is 7 hours per night. Determine if Dr. Simpson's college students get significantly more sleep than the national average.
How would i set up this problem including hypotheses, critical value, degrees of freedom, and a statement about significance.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Dr. Simpson was surprised to learn that her 28 students get on average 7.2 hours of sleep per night (s=0.80). She had just read that the national average is 7 hours per night. Determine if Dr. Simpson's college students get significantly more sleep than the national average.
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Ho: u <= 7
Ha: u > 7
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sample mean = 7.2
test statistic: z(7.2) = (7.2-7)/[0.8/sqrt(28)] = 0.2/sqrt(28) = 0.0378
p-value = P(t > 0.0378 when df = 27) = tcdf(0.0378,100,27) = 0.4851
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Since the p-value is greater than 5% fail to reject Ho at the 5% level
of significance.
The test results support the conclusion her students do not get
significantly more sleep than the national average.
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Cheers,
Stan H.
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