FEV1 data
2.259
2.531
2.887
2.578
3.329
3.847
2.813
2.278
2.65
2.561
2.017
3.058
1.72
2.631
1.649
1.744
2.85
3.774
3.078
2.304
3
1.415
2.175
3.074
2.957
1.253
2.57
3.141
3.193
2.276
2.913
4.683
5.638
3.011
3.001
1.004
1.429
3.122
3.745
2.335
2.341
3.048
2.55
1.773
2.827
2.639
2.356
3.78
3.369
2.201
2.358
2.481
4.279
2.556
2.336
2.123
1.536
2.258
3.166
2.081
2.262
2.32
2.822
2.851
1.589
2.056
2.903
1.092
1.527
2.115
2.457
2.434
1.886
2.365
2.048
3.016
3.135
2.119
1.754
4.309
3.395
1.844
2.841
3.835
2.717
1.523
3.004
3.029
2.501
1.858
3.406
2.332
3.33
3.038
3.111
1.634
1.572
2.868
1.612
2.822
2.435
2.891
3.984
1.282
1.102
2.241
2.795
2.246
2.076
3.751
1.969
3.022
3.456
4.842
2.328
2.993
2.387
1.547
2.463
1.672
1.423
1.577
4.13
4.404
2.341
3.436
4.5
1.682
2.487
1.897
2.069
1.481
4.506
2.354
1.495
4.448
3.32
3.09
2.158
3.111
2.358
1.698
2.563
1.461
2.997
2.144
2.642
2.608
1.776
2.382
3.082
2.303
5.224
3.806
1.536
2.562
2.871
2.545
2.084
3.147
3.501
2.015
1.072
1.75
3.222
3.96
2.964
4.504
2.111
2.819
3.236
2.659
3.5
2.419
2.838
3.078
3.297
1.694
4.324
2.665
2.635
3.279
3.069
3.05
2.118
1.94
1.953
2.094
1.609
2.352
2.288
2.135
2.714
2.287
3.331
1.808
3.795
2.264
1.348
1.703
1.535
2.579
2.292
1.759
1.512
1.895
3.47
1.855
3.255
3.556
3.345
2.887
3.251
1.4
2.069
1.858
1.987
1.742
1.829
2.759
3.727
1.697
2.458
4.07
2.988
1.665
2.463
3.132
1.979
1.657
3.206
2.732
3.004
3.127
2.866
2.293
2.076
4.637
2.352
1.919
3.231
2.677
2.529
2.17
3.208
1.473
1.78
2.673
1.165
3.354
1.826
1.953
2.673
1.796
3.791
3.587
2.211
1.658
2.797
1.602
2.659
3.056
2.09
2.069
2.606
3.498
4.073
2.071
3.583
2.56
1.256
2.975
1.691
2.894
2.175
3.681
2.25
4.225
2.364
3.007
3.688
4.271
2.971
1.912
2.535
2.571
2.928
2.633
1.523
1.735
3.515
1.603
3.2
2.569
4.724
3.681
1.631
4.393
2.504
3.985
2.366
1.872
4.086
1.415
3.519
2.13
2.578
2.884
3.924
1.796
1.611
2.004
1.794
1.562
3.11
3.114
2.362
3.079
4.756
1.335
2.592
2.976
1.716
2.457
2.981
4.593
0.839
3.086
1.931
2.348
2.42
3.035
2.1
1.552
1.755
2.455
2.864
3.654
1.789
3.577
2.704
2.417
2.599
2.574
1.917
1.935
2.46
3.169
1.343
2.347
2.538
2.216
2.72
1.747
2.219
2.305
2.798
3.28
2.135
2.25
2.889
1.708
1.591
1.569
3.211
1.698
1.431
2.14
3.06
1.338
2.751
3.785
1.718
2.709
4.08
4.877
2.386
2.166
3.305
3.35
1.823
3.799
1.942
2.002
2.604
2.564
2.123
3.977
2.725
1.37
2.095
3.411
2.164
2.542
2.688
2.145
1.452
3.906
1.937
0.791
1.789
2.503
3.223
2.165
1.933
1.69
1.827
2.384
3.082
1.418
2.1
2.812
3.082
3.49
3.741
2.974
3.247
2.833
2.417
2.906
2.631
4.591
1.404
3.489
1.146
2.927
2.435
1.878
3.258
4.27
4.763
3.023
2.754
3.171
3.102
3.731
4.045
4.305
3.108
2.631
2.689
3.297
3.089
3.223
1.292
2.485
1.858
2.688
4.872
2.354
2.608
2.333
2.182
2.691
2.301
2.866
2.681
2.646
3.12
1.999
3.549
4.831
3.53
2.196
1.606
2.993
2.499
2.592
1.624
2.98
2.935
1.715
2.973
1.556
2.102
2.04
3.169
1.612
2.696
2.226
3.515
1.932
3.239
3.957
2.855
1.826
1.991
4.789
3.692
2.605
2.568
1.359
1.624
0.796
2.531
3.341
2.5
2.481
3.428
1.726
2.387
2.581
2.752
1.427
2.056
2.665
3.994
1.344
3.343
2.126
3.104
1.666
4.72
2.42
2.893
2.042
3.585
4.065
2.318
1.947
4.073
2.891
1.877
2.923
2.135
5.083
3.339
1.697
2.498
2.491
2.216
3.222
1.962
2.093
1.751
2.016
2.862
3.058
1.338
2.853
4.007
1.713
2.458
3.082
3.68
2.391
3.203
2.01
2.988
2.22
2.187
3.845
3.425
1.869
1.389
4.299
1.675
1.458
1.811
5.102
1.79
2.246
2.09
2.524
3.042
3.387
2.371
2.346
4.22
1.92
2.752
3.596
2.715
2.646
2.23
3.645
1.724
4.203
1.905
2.193
2.588
2.953
2.198
2.785
2.104
3.816
2.449
3.529
4.336
3.887
3.186
2.215
3.086
5.793
1.64
2.77
2.236
1.343
1.558
2.52
Round all p-values—one each in Sections 4 and 5—to three decimal
places.
Section 4 – Hypothesis Test: Using the p-value method, conduct a
formal hypothesis test of the claim that 𝜇𝜇, the mean FEV1
measurement for children ages 3 to 19, is greater than 2.545. Use
𝛼𝛼 = 0.01. Include the following in your written summary of the
results:
Your null and alternate hypotheses in the proper format using
standard notation.
The type of distribution you used (𝑡𝑡 or normal).
The p-value and its logical relationship to 𝛼𝛼 (≤ or >).
Your decision regarding the null hypothesis: reject or fail to
reject.
A statement interpreting your decision: reject/fail to reject
(or support/fail to support) the original claim that the mean FEV1
measurement for children ages 3 to 19 is greater than 2.545.
FEV1 data 2.259 2.531 2.887 2.578 3.329 3.847 2.813 2.278 2.65 2.561 2.017 3.058 1.72 2.631 1.649 1.744 2.85 3.774 3.078
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FEV1 data 2.259 2.531 2.887 2.578 3.329 3.847 2.813 2.278 2.65 2.561 2.017 3.058 1.72 2.631 1.649 1.744 2.85 3.774 3.078
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