Question

Two random samples are selected from two independent populations. A summary of the samples sizes, sample means, and sample standard deviations is given below: n1=45,n2=40,x¯1=50.7,x¯2=71.9,s1=5.4s2=10.6 n 1 =45, x ¯ 1 =50.7, s 1 =5.4 n 2 =40, x ¯ 2 =71.9, s 2 =10.6

Find a 92.5% confidence interval for the difference μ1−μ2 μ 1 − μ 2 of the means, assuming equal population variances.

Answer 1

Two random samples are selected from two independent populations.

A summary of the samples sizes, sample means, and sample standard deviations is given by,

, .

,

,

92.5% confidence interval for the difference μ1−μ2 is,

, z = 1.75

= ( -24.45 , -17.96)

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