Question 265581
"A random sample of 100 pencils produced by assembly line A was inspected in a pencil factory. It was found that the average length is 13.5 cm and the sample standard deviation is 1 cm.
-------------------------------------
Another random sample of 80 pencils from assembly line B in the same factory give an average length of 14.26 cm and sample standard deviation of 1.2 cm.
------------------------------
Can we conclude that the average length of pencils produced by the two assembly lines are different at the 5% level of significance?"
---
Ho: u(A)-u(B) = 0
Ha: u(A)-u(B) is not equal to 0
----------------------------------
I ran a 2Sample Ttest and got the following:
test statistic: t = -4.5419
p-value = 0.00001122
df = 153.38
---
Conclusion: Since the p-value is less than 5%, reject Ho.
The pencils produced by the lines are different at the 5% level of significance.
===============================
Cheers,
Stan H.