Question 1172027: A lecturer in a university would like to estimate the average length of time students need to do revision for a course in a week. The lecturer claims that the students allocate six hours per week for revision. To determine whether the claim is true, a study is done on 16 students and the average revision time is found to be 5 hours with a standard deviation of 2.3 hours. Is the lecturer’s claim true?
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! Ho: time is 6
Ha: time is not 6
alpha can be set for 0.05, although other values could be used p{reject Ho|Ho true}
test statistic is a t (0.975, df=15)
critical value is |t| > 2.131
t=(x bar-mean)/s/sqrt(n)
=-1*sqrt(16)/2.3
=-1.74, the absolute value of which is not > 2.131
Fail to reject Ho at the 5% level; insufficient evidence to show that the true value is not 6 hours.
p-value= 0.10
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