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Compute the confidence interval for the difference of two population means. Show your work. Sample Mean...

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

Solutions

Expert Solution

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.

milcah answered 10 months ago

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