Hi,

Construct the indicated 98% confidence interval for the population mean u using a t-distribution.

c=0.98, x=114, s=10, n=27, Degrees of Freedom = (n-1)= 26, See Below:

 ME = 2.78(10/sqrt(27))

X = 114  

  114 - ME <  < 114 + ME

DOF 	Probability, p			

	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	2.06	2.79	3.73

26	1.71	2.06		3.71

27	1.7	2.05	2.77	3.69

28	1.7	2.05	2.76	3.67

29	1.7	2.05	2.76	3.66

30	1.7	2.04	2.75	3.65

 

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