To test Ho: u= 20 versus H,:µ<20, a simple random sample of size n= 16 is obtained from a population that is known to be normally distributed. Answer parts (a)-(d). E Click here to view the t-Distribution Area in Right Tail. - X T-distribution area in right tail (a) If x = 18 and s= 4.3, compute the test statistic. t= (Round two decimal places as needed.) 1-Distribution Lhu Tall
To test Ho: u= 20 versus H,:µ<20, a simple random sample of size n= 16 is obtained from a population that is known to be normally distributed. Answer parts (a)-(d). E Click here to view the t-Distribution Area in Right Tail. - X T-distribution area in right tail (a) If x = 18 and s= 4.3, compute the test statistic. t= (Round two decimal places as needed.) 1-Distribution Lhu Tall
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question 2
Transcribed Image Text:To test Ho: µ= 20 versus H,: µ< 20, a simple random sample of size n = 16 is obtained from a population that is known to be normally distributed. Answer parts (a)-(d).
Click here to view the t-Distribution Area in Right Tail.
T-distribution area in right tail
(a) If x = 18 and s = 4.3, compute the test statistic.
t =
(Round to two decimal places as needed.)
t-Distribution
Area in Right Tail
df
0.25
0.20
0.15
0.10
0.05
0.025
0.02
0.01
0.005
0.0025
0.001
0.0005
df
1.963
1.386
1.250
1.190
1.156
63.657
9.925
5.841
4.604
4.032
636.619
31.599
1.376
3.078
1.886
1.638
1.533
1.476
1
12.706
127.321
1.000
0.816
6.314
15.894
31.821
318.309
22.327
10.215
7.173
5.893
1
1.061
0.978
0.941
0.920
14.089
7.453
5.598
2.920
4.303
4.849
3.182
2.776
2.571
6.965
4.541
3.747
3.365
0.765
4
3
2.353
2.132
2.015
3.482
2.999
12.924
8.610
0.741
0.727
2.757
4.773
6.869
2.447
2.365
2.306
2.262
2.228
1.134
1.440
1.415
1.397
1.383
3.143
4.317
0.718
7
0.711
0.706
5.959
5.408
5.041
4.781
4.587
0.906
1.943
1.895
1.860
1.833
2.612
3.707
5.208
6.
0.896
0.889
1.119
1.108
2.517
2.449
2.998
2.896
3.499
3.355
4.029
3.833
4.785
4.501
7
8
0.703
0.700
2.398
2.359
2.821
2.764
3.250
4.297
0.883
0.879
1.100
3.690
9.
10
1.093
1.372
1.812
3.169
3.581
4.144
10
4.025
3.930
3.852
3.787
3.733
0.876
1.363
1.356
1.350
1.345
2.201
2.179
2.160
2.328
0.697
0.695
0.694
1.088
1.083
1.079
1.076
1.074
4.437
4.318
4.221
4.140
4.073
1.796
2.718
2.681
2.650
2.624
2.602
3.106
3.055
3.012
3.497
11
12
13
14
15
0.873
0.870
0.868
1.782
1.771
1.761
2.303
2.282
2.264
2.249
3.428
3.372
3.326
3.286
11
12
13
2.145
2.131
2.977
2.947
0.692
14
0.691
0.866
1.341
1.753
15
3.252
3.222
0.865
0.863
0.862
0.861
0.860
1.071
1.069
1.337
1.333
1.746
1.740
2.120
2.110
2.235
2.224
2.214
2.205
2.583
2.567
2.552
2.539
2.528
2.921
2.898
2.878
2.861
2.845
3.686
3.646
16
17
18
0.690
0.689
0.688
4.015
3.965
3.922
3.883
3.850
16
17
1.067
1.066
1.064
1.330
1.328
1.325
1.734
1.729
1.725
3.610
3.579
2.101
3.197
18
3.174
3.153
19
0.688
2.093
19
20
0.687
2.086
2.197
3.552
20
1.721
1.717
1.714
1.711
3.135
3.119
1.323
1.321
1.319
1.318
1.316
2.080
2.074
2.069
2.189
2.183
2.518
2.508
2.500
2.492
2.485
2.831
2.819
2.807
2.797
3.527
3.505
3.485
3.467
3.819
3.792
3.768
3.745
3.725
21
22
0.686
0.686
0.859
0.858
0.858
1.063
1.061
21
22
23
24
1.060
1.059
1.058
23
0.685
3.104
2.064
2.060
2.177
2.172
2.167
24
0.685
0.857
0.856
3.091
25
0.684
1.708
2.787
3.078
3.450
25
1.315
1.314
0.856
1.058
2.056
2.052
2.048
2.045
2.042
2.162
2.158
2.154
2.150
2.147
2.779
3.067
26
27
3.435
3.421
3.408
0.684
1.706
2.479
3.707
26
0.684
0.683
0.683
0.683
0.855
0.855
0.854
0.854
3.057
3.047
3.038
3.030
1.057
1.703
2.473
2.771
3.690
27
28
29
30
1.056
1.055
1.055
1.701
1.699
1.697
3.674
3.659
3.646
1.313
2.467
2.763
28
1.311
1.310
2.462
2.457
2.756
2.750
3.396
3.385
29
30
31
0.682
0.853
1.054
1.309
1.696
2.040
2.144
2.453
2.744
3.022
3.375
3.633
31
1300
4017
2015
2345
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