In: Math
Compute the confidence interval for the difference of two population means. Show your work.
Sample Mean 1= 17
Population standard deviation 1= 15
n1= 144
Sample Mean 2= 26
Population Standard Deviation 2= 13
n2 = 121
Confidence Level= 99
olution:
Given that,
= 17
= 26
= 15
= 13
n1 = 144
n2 = 121
a) - is the point estimate of the difference between two means .
point estimate = - = 17 - 26 =-9
b) c = 99% = 0.99
= 2.576
Margin of error =
= 2.576 *
= 4.4313
c) Confidence interval is
point estimate margin of error
-9 4.4313
(-9 - 4.4313 , (-9 + 4.4313)
(-13.4313 , -4.5687) is the required 99% confidence interval for the difference between means.