Two random samples were selected independently from populations having normal distributions. The statistics given below were extracted from the samples. Complete parts a through c.
x overbar 1 =40.1
x overbar 2=30.5
and the sample sizes are
confidence interval for the difference between the two population means.
The confidence interval is
Given : = 40.1 , = 30.5, s1 = 33 , s2 = 22, n1 = n2 = 10.
In general, (1-)%
confidence interval for μ1−μ2 is obtained as foolow :
where t(/2 , n1+n2-2) = t(0.005, 18) = 2.87844 ( from the t tables )
and Sp = = 28.04461
Thus, 99% confidence interval for μ1−μ2 is :
( -26.5011955 , 45.7011955 )
Hope this answers your query!
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