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The following data are from matched samples taken from two populations Population Element 10 15 14 15 4 13 a. Compute the difference value for each element (difference between element of population 1 and population 2 and enter negative values as negative numbers) Element Difference Value b. Compute d (to 3 decimals) c. Compute the standard deviation sd (to 3 decimals) d. What is the point estimate of the difference between the two population means (to 3 decimals)? e. Provide a 95% confidence interval for the difference between the two population means (to 3 decimals and enter negative values as negative numbers)

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population 1 10 S. No population 2 difference(d) x1-x2 1.000000 0.000000 1.000000 81.000000 4.000000 25.000000 36.000000 Σd2-148 2 15 2 13 total mean dbar- degree of freedom -n-1 Std deviaiton Sp-V(Ed2-(2d)2/n)/(n-1) std error-SeSo/Vn - -2.857 6.000 3.8914 1.471 for 95% CI; and 6 degree of freedom, value of t- therefore confidence interval- margin of errror tstd error- lower confidence limit upper confidence limit 2.447 sample mean-/+t*std error 3.599 6.456 0.742

a)

difference(d)=x1-x2
1
0
1
-9
-2
-5
-6

b)

dbar=-2.857

c)sd =3.891

d)point estimate of difference =-2.857

e) 95% CI =-6.456 ;0.742

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