SOLUTION: Can someone please help me with the following statistic question? (Hypothesis Test Summary) (Show all work and steps) 4) According to a U.S. Census Bureau survey during 2005-20

Algebra.Com
Question 769334: Can someone please help me with the following statistic question?
(Hypothesis Test Summary) (Show all work and steps)
4) According to a U.S. Census Bureau survey during 2005-2007, the daily one-way commute time of U.S. workers averages 25 minutes with , we'll assume, a standard deviation of 13 minutes. An investigator wishes to determine whether the national average describes the commuter time for all workers in the Chicago area. Commute times are obtained for a random sample of 169 workers from this area, and the mean time is found to be 22.5 minutes. Test the Null Hypothesis at the .05 level of significance

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
According to a U.S. Census Bureau survey during 2005-2007, the daily one-way commute time of U.S. workers averages 25 minutes with , we'll assume, a standard deviation of 13 minutes.
An investigator wishes to determine whether the national average describes the commuter time for all workers in the Chicago area.
Commute times are obtained for a random sample of 169 workers from this area, and the mean time is found to be 22.5 minutes.
Test the Null Hypothesis at the .05 level of significance
----
Ho: u = 25
Ha: u # 25
----
x-bar = 22.5
z(22.5) = (22.5-25)/[13/sqrt(169)] = -2.5
-----
p-value = 2*P(z < -2.5) = 2(normalcdf(-100,-2.5) = 0.0124
-----
Since the p-value is less than 5%, reject Ho
Conclusion: 25 is not the average for all workers in te Chicago area.
================
Cheers,
Stan H.


RELATED QUESTIONS

Can someone please help me with the following statistic problem. Please show all the... (answered by stanbon)
Can someone help me PLEASE, I am completely stuck and I can not even think on where to... (answered by stanbon,richwmiller)
FOX News conducted an online poll of 300 adults in February 2015. One question was “Do... (answered by ewatrrr)
Please help me with this: Assume the population is normally distributed. Given a... (answered by rothauserc)
Looking for help with the following: Provide the p-value for a left-tailed one sample (answered by jrfrunner)
5. Solve the following equation. Please show all of your work. (1/7)^x = 343 can... (answered by ewatrrr)
2. Solve the following inequality and write your answer using interval notation. Please... (answered by jorel1380)
Fine the inverse matrix of A=2 -4 , find A^-1 -2 5 (answered by jim_thompson5910)
Looking for help with the following: Using the p-value from Question #1, would you... (answered by jrfrunner)