SOLUTION: A sample of size 26 is taken from some population, with sample mean ¯x = 25 and standard deviation s = 5. Identify a confidence-interval estimate when the confidence level is 95%.

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Question 923205: A sample of size 26 is taken from some population, with sample mean ¯x = 25 and
standard deviation s = 5. Identify a confidence-interval estimate when the confidence level is 95%.
(Remember to use Table IV)

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi
A sample of size 26 is taken from some population,
with sample mean ¯x = 25 and standard deviation s = 5.
confidence level is 95%.
ME = 2.06(5/sqrt(26)) = 2.02
CI: 25 - ME < u < 25+ ME
CI : (23,27)
....Small sample critical value
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 3.25 4.78
10 1.81 2.23 3.17 4.59
11 1.8 2.2 3.11 4.44
12 1.78 2.18 3.06 4.32
13 1.77 2.16 3.01 4.22
14 1.76 2.14 2.98 4.14
15 1.75 2.13 2.95 4.07
16 1.75 2.12 2.92 4.02
17 1.74 2.11 2.9 3.97
18 1.73 2.1 2.88 3.92
19 1.73 2.09 2.86 3.88
20 1.72 2.09 2.85 3.85
21 1.72 2.08 2.83 3.82
22 1.72 2.07 2.82 3.79
23 1.71 2.07 2.82 3.77
24 1.71 2.06 2.8 3.75
25 1.71 +highlight_green%282.06%29 2.79 3.73