Answer:
Confidence Interval =-0.76,+1.56
Step-by-step explanation:
The confidence interval can be determined by
(x1`- x2`) ± z∝/2 √s1²/n1 + s2²/n2
z∝/2 for 93% is 1.81
The mean and the standard deviations can be calculated using the calculator.
The mean x1`= ∑x/ n= 5+ 5+ 6+ 6+ 6+ 3+ 4+ 6+ 6+ 6
= 53/10= 5.3
Standard deviation = s1`= 1.0049= 1.005
The mean x2`= ∑x/ n= 7+ 3+ 4 +7+ 4+ 7+ 3+ 3+ 7+ 4/10
= 49/10= 4.9
Standard Deviation = s2= 1.75783= 1.76
Putting the values
(x1`- x2`) ± z∝/2 √s1²/n1 + s2²/n2
(5.3-4.9 ) ± 1.81 √1.005²/10 +1.76²/10
0.4 ± 1.81 √ 1.010025/10 + 3.0976/10
-0.76,+1.56
The confidence interval for 93% two tailed test is [-0.76,+1.56]
