Question 16 Refer to Question 15 The following results are for independent random samples taken from two populations
Sample Size
Sample Mean
Sample Standard Deviation
Sample1 Sample2
n=15 n=12
=29.7 =34.1
s=10.2 S=11.8
second population. Assume the two population variances are equal. Find a 95% confidence interval for the difference in means.
Select the correct answer.
Oi. Use sp=√(10.2^2/15+11.8^2/12)=10.933. Compute 29.7-34.1±2.060x10.933=-4.422.52.
The interval is -26.92, 18.12.
Oii. Use sp=√((10.2^2+11.8^2)/27)=3.177. Compute 29.7-34.1±2.060x3.177=-4.42.53.
The interval is -6.93, 1.87.
Oji. Use sp=√(10.2^2/15+11.8^2/12)=10.933. Compute 29.7-34.1±2.060x10.933=-4.48.72.
The interval is -13.12, 4.32.
Oiv. Use sp=√(10.2^2/15+11.8^2/12)=10.933. Compute 29.7-34.1±1.678x10.933=-4.47.11.
The interval is (-11.51, 2.71).