Question

#8.       Consider the data labelled problem # 8. You are to construct a 98% confidence interval for the difference in the mean of population 1 (sample 1) and population 2 (sample 2), i.e. μ1-μ2. The population standard deviations of the two populations are known to be respectively 18 and 15. Construct the confidence interval. Show all work. (15 points)

Sample 1	Sample 2
25.3	51.9
71.2	63
33.9	31.9
87.5	76.6
49.8	45.2
90.8	79.3
54.1	48.7
80.2	70.5
80.3	70.6
81.5	71.6
71.5	63.3
44.4	40.7
61.8	55.1
50.4	45.7
55.7	50.1
48.7	44.3
78.7	69.2
36.4	34
71.5	63.3
58.8	52.7
77.9	68.6
82	72
63.4	56.5
80.6	70.8
64.7	57.6
47.7	43.4
63.9	56.9
75.3	66.4
77.6	68.4
85.5	74.9
76.5	67.4
40.2	37.1
40.4	37.3
54.2	48.8
98.7	85.9
	54.7
	63.1
	32.8
	89
	60.5
	95.9
	84.2
	80.4
	28.8
	66

Answer 1

## we know  that result is Insignificant if confidence interval include null value

here confidence interval include null value hence it is insignificant and we can say that there is no mean difference .