Question

In: Statistics and Probability

The following table contains information on matched sample values whose differences are normally distributed. Number 1...

The following table contains information on matched sample values whose differences are normally distributed.

Number 1 2 3 4 5 6 7 8

Sample 1- 17 12 21 23 19 13 19 17

Sample 2- 21 13 22 19 19 17 16 21

a. Construct the 95% confidence interval for the mean difference μ

Expert Solution

	Sample 1 ( X )		Sample 2 ( Y )
	17	0.3906	21	6.25
	12	31.6406	13	30.25
	21	11.3906	22	12.25
	23	28.8906	19	0.25
	19	1.8906	19	0.25
	13	21.3906	17	2.25
	19	1.8906	16	6.25
	17	0.3906	21	6.25
Total	141	97.8748	148	64

Mean

Standard deviation
$S_{X} = \sqrt{ 97.8748 / 8 -1} = 3.7393$

Mean

Standard deviation

Confidence interval :-

DF = 13

Lower Limit =
Lower Limit = -4.548
Upper Limit =
Upper Limit = 2.798
95% Confidence interval is ( -4.548 , 2.798 )

orchestra answered 2 years ago

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