SOLUTION: English people get a mean of 7 hrs sleep per night. A random sample of 36 students revealed the number of 6.5 hrs sleep per night. The standard deviation of the sample was 1.2 hrs.

Question 240388: English people get a mean of 7 hrs sleep per night. A random sample of 36 students revealed the number of 6.5 hrs sleep per night. The standard deviation of the sample was 1.2 hrs. Is it reasonable to conclude that the students sleep less than english people. Set up your hyptheses and test it with 5% level of significance
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
English people get a mean of 7 hrs sleep per night. A random sample of 36 students revealed the number of 6.5 hrs sleep per night. The standard deviation of the sample was 1.2 hrs. Is it reasonable to conclude that the students sleep less than english people. Set up your hyptheses and test it with 5% level of significance
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Ho: u = 7
H1: u < 7
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critical value for alpha = 5%, df = 35 left-tail tes: t = -1.6896
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test stat: t(6.5)= (6.5-7)/[1.2/sqrt(36)] =-2.5
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Since the ts is in the reject interval, reject Ho.
You have some evidence the students require less sleep.
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Cheers,
Stan H.
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