Suppose random variable X follows a normal distribution with mean 10 and variance 16. Consider random samples of different sizes from that population to answer the following questions. Consider a sample of size n = 10. Download the data attached in the data table and use it to construct your response. For n = 10, the sample mean = 8.774 (Round your response to three decimal places) Consider a sample of size n = 100. Download the data attached in the data table and use it to construct your response. For n=100, the sample mean (Round your response to three decimal places)
Data for question 2
8.436132955
14.20325705
2.992052285
10.08032657
5.126590875
10.03289642
10.42844476
13.59500518
6.905971784
11.54967438
19.592477
14.57768692
10.89463356
11.38146333
11.05509116
13.77795004
15.04973286
10.80261998
2.681987351
5.719426806
17.15459464
14.70913619
2.442462826
7.403838279
15.35778781
8.43018486
5.677417246
4.824220266
12.84727321
2.098273651
8.722987584
12.20727543
11.48489562
6.955671122
6.995984475
13.73988769
7.098457243
13.43340616
16.98815711
11.19004653
11.13164333
7.029149199
10.76581273
9.312581167
6.430133251
9.172696334
8.521989255
13.15714715
13.94471499
16.75790943
8.881726242
8.948396751
16.09212293
11.51115273
-3.18869181
10.4709409
8.895400495
-2.426753528
9.632445906
10.40721716
8.961693564
11.17023319
16.03231456
10.50084054
1.826553014
3.26240868
18.7985245
11.30021817
7.737281774
6.091446519
11.70189196
6.111619112
15.83022484
10.35772246
9.67943495
10.84293788
9.496385499
14.33026798
5.937123458
10.25000645
11.65644451
-28.14697266
13.23631411
8.421590135
8.240646164
11.24035978
16.08823029
6.316591933
5.580692485
20.50924766
8.804514689
8.33655238
10.3939931
17.64503056
8.416624294
8.796192813
13.02474291
11.77622496
10.19575964
10.64057531
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