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

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