Question 922869
 <pre><font face = "Tohoma" size = 3 color = "indigo"><b> 
Hi
mean = 23, sd(population) = 3
a) SE = sd/sqrt(n) = 3/sqrt(10) = .9487
b) 99% CI (see chart below)
ME = 3.25SE = 3.25(.9487) = 3.08 = 3 
Round the confidence interval limits to the same number of decimal places as the sample mean
ME = 3
CI:  23-ME < u < 23 + ME
CI: (20, 26)
.......Small Samples
DF	Probability, p 2-tailed			
	0.1	0.05	0.01	0.001
1	6.31	12.71	63.66	636.62
2	2.92	4.3	9.93	31.6
3	2.35	3.18	5.84	12.92
4	2.13	2.78	4.6	8.61
5	2.02	2.57	4.03	6.87
6	1.94	2.45	3.71	5.96
7	1.89	2.37	3.5	5.41
8	1.86	2.31	3.36	5.04
9	1.83	2.26	{{{ highlight_green(3.25)}}} 	4.78
10	1.81	2.23	3.17	4.59
....Larger Samples
 = CI	z = value
90%	z =1.645
92%	z = 1.751
95%	z = 1.96
98%	z = 2.326
99%	z = 2.576