Question

0.1 0.4 3.1 1.9 2.0 5.1 1.3 3.6 3.6 2.7 1.9 7.5 3.8 2.3 9.2 3.0 3.3 1.8 4.9 6.0 4.1 1.8 5.7 6.7 2.4 3.3 8.6

What is the margin of error for the population mean at 90% confidence level for the above information?

Answer 1

For the given data sample mean is

Create the following table.

data	data-mean	(data - mean)2
0.1	-3.6074	13.01333476
0.4	-3.3074	10.93889476
3.1	-0.6074	0.36893476
1.9	-1.8074	3.26669476
2.0	-1.7074	2.91521476
5.1	1.3926	1.93933476
1.3	-2.4074	5.79557476
3.6	-0.1074	0.01153476
3.6	-0.1074	0.01153476
2.7	-1.0074	1.01485476
1.9	-1.8074	3.26669476
7.5	3.7926	14.38381476
3.8	0.0926	0.00857476
2.3	-1.4074	1.98077476
9.2	5.4926	30.16865476
3.0	-0.7074	0.50041476
3.3	-0.4074	0.16597476
1.8	-1.9074	3.63817476
4.9	1.1926	1.42229476
6.0	2.2926	5.25601476
4.1	0.3926	0.15413476
1.8	-1.9074	3.63817476
5.7	1.9926	3.97045476
6.7	2.9926	8.95565476
2.4	-1.3074	1.70929476
3.3	-0.4074	0.16597476
8.6	4.8926	23.93753476

So

Now t table value for 26 df is 1.706

So Margin of Error is