SOLUTION: Construct the indicated confidence interval for the population mean using the​ t-distribution. Assume the population is normally distributed. c=.90​,X=12.3, S=4.0, n=6

Algebra ->  Probability-and-statistics -> SOLUTION: Construct the indicated confidence interval for the population mean using the​ t-distribution. Assume the population is normally distributed. c=.90​,X=12.3, S=4.0, n=6      Log On


   

Question 1173020: Construct the indicated confidence interval for the population mean using the​ t-distribution. Assume the population is normally distributed.
c=.90​,X=12.3, S=4.0, n=6
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi, ME =+z%2Asigma%2Fsqrt%28n%29

c=.90​,X=12.3, S=4.0, n=6

DF = 6-1 = 5 , First column:  z = 2.015

0.1 0.05 0.02 0.01

2  2.9200  4.3026  6.9646  9.9247  14.0887  

3  2.3534  3.1824  4.5407  5.8408  7.4534  

4  2.1319  2.7764  3.7470  4.6041  5.5976 

5  2.0150  2.5706  3.3650  4.0322  4.7734  

6  1.9432  2.4469  3.1426  3.7074  4.3168  

ME =+2.015%2A4%2Fsqrt%286%29 = 3.29

12.3 - 3.29 < mu < 12.3 + 3.29

  9.01 < mu < 15.59

    9.0 < mu < 15.6

Generally: Round the confidence interval limits to the same number of decimal places as the sample standard deviation