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

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
RELATED QUESTIONS
The average length of time for students to register in the second semester at a certain... (answered by Boreal)

At a local community college, it costs $450 to enroll in a morning section of an algebra... (answered by ewatrrr)

It has been found that 20% of students who enroll in an introductory statistics class... (answered by Okamiden)

Running at an average rate of 6 meters per second, a sprinter ran to the end of the... (answered by richwmiller)

Running at an average rate of 6 meters per second, a sprinter ran to the end of a track.... (answered by ptaylor)

Running at an average rate of 6 meters per second, a sprinter ran to the end of a track. (answered by ankor@dixie-net.com)

At a local college it cost $700 to enroll in a morning section of an algebra course. Then (answered by rfer)

1.Past history reveals that 30% of students who enroll in an online course drop the... (answered by stanbon)

At a university, 40% of the students who apply are accepted. Of those who are accepted,... (answered by josmiceli)