Question

The data below contains independently drawn random observations on a variable X. It is known that...

The data below contains independently drawn random observations on a variable X. It is known that σ2 = 1.27

  1. Construct a 90% confidence interval for E(X). Show your working.
  2. Interpret the confidence interval.
  3. Do you need to make any assumptions in order for your confidence interval to be valid?
x
3.335533872
4.850993229
3.50622242
4.823705685
4.894336604
4.408952143
2.737065985
4.712005021
6.13304844
4.44337885
4.364079219
5.80973586
3.868775534
2.405280511
5.072969443
3.875964458
3.320130918
5.1997441
4.693658999
7.140006838
4.499624853
6.239919965
4.14907404
3.833423896
2.409822402
4.347880813
3.995670756
3.330589947
1.443505451
Math   Statistics-And-Probability   
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