SOLUTION: C. The average length of time for students to enroll in the second term at DLSAU has been 40 minutes. An online registration is being tested. If random samples of 16 students have

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Question 1181769: C. The average length of time for students to enroll in the second term at DLSAU has been 40 minutes. An online registration is being tested. If random samples of 16 students have an average of 30 minutes with standard deviation of 10 minutes under the system, can you conclude that the new system is faster than the old one? Assume that the average length of time is normally distributed. Use 0.05 level of significance.
Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website!
Ho: mu is >=40 minutes
Ha: mu is < 40 minutes
alpha=0.05 p{reject Ho|Ho true}
test statistic is a t (0.975, f=15) 1 way test. Reject Ho if t < -1.753
t=(30-40)/10/sqrt(16)
=-10*4/10
=-4
reject Ho and conclude that the new system is faster than the old one, p-value 0.0006