To test Ho: H= 40 versus H,: u<40, a random sample of size n= 25 is obtained from a population that is known to be normally distributed. Complete parts (a) through (d) below. E Click here to view the t-Distribution Area in Right Tail. T-distribution area in right tail (a) If x = 37.4 and s = 13.6, compute the test statistic. to = (Round to three decimal places as needed.) 1-Distribution in Rieh Tail
To test Ho: H= 40 versus H,: u<40, a random sample of size n= 25 is obtained from a population that is known to be normally distributed. Complete parts (a) through (d) below. E Click here to view the t-Distribution Area in Right Tail. T-distribution area in right tail (a) If x = 37.4 and s = 13.6, compute the test statistic. to = (Round to three decimal places as needed.) 1-Distribution in Rieh Tail
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 4
Transcribed Image Text:To test Ho: µ = 40 versus H1: µ < 40, a random sample of sizen=25 is obtained from a population that is known to be normally distributed. Complete parts (a) through (d) below.
Click here to view the t-Distribution Area in Right Tail.
T-distribution area in right tail
(a) If x = 37.4 and s = 13.6, compute the test statistic.
to
(Round to three 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
127.321
14.089
7.453
5.598
1.376
1.963
1.386
1.250
1.190
1.156
12.706
4.303
3.182
2.776
2.571
15.894
4.849
3.482
2.999
2.757
63.657
636.619
31.599
1.000
3.078
6.314
2.920
2.353
2.132
2.015
1
31.821
318.309
6.965
4.541
3.747
3.365
9.925
5.841
4.604
4.032
0.816
2
0.765
0.741
0.727
1.061
0.978
0.941
0.920
22.327
10.215
7.173
5.893
1.886
1.638
1.533
12.924
8.610
6.869
3
1.476
4.773
0.718
7
0.711
8
0.706
1.943
1.895
1.860
3.143
3.707
4.317
5.208
4.785
4.501
4.297
0.906
1.134
5.959
1.440
1.415
1.397
2.447
2.365
2.306
2.612
2.517
2.449
2.398
2.359
6.
4.029
3.833
5.408
5.041
4.781
4.587
0.896
0.889
1.119
1.108
2.998
2.896
3.499
3.355
3.250
3.169
1.833
1.812
9
0.703
0.883
1.100
1.383
2.262
2.821
3.690
10
0.700
0.879
1.093
1.372
2.228
2.764
3.581
4.144
0.697
0.695
0.694
3.106
3.055
3.012
2.977
2.947
4.025
3.930
3.852
3.787
0.876
1.363
1.356
1.350
1.345
1.341
2.201
2.179
2.160
2.328
2.303
2.282
2.264
2.249
4.437
4.318
4.221
4.140
4.073
11
1.088
1.796
1.782
1.771
2.718
3.497
2.681
2.650
2.624
2.602
12
13
0.873
0.870
1.083
1.079
3.428
3.372
1.076
1.074
1.761
1.753
2.145
2.131
14
0.692
0.691
0.868
3.326
15
0.866
3.286
3.733
0.690
0.689
0.865
0.863
0.862
1.071
1.069
1.067
1.066
2.235
2.224
2.921
2.898
2.878
3.252
3.222
3.197
3.686
3.646
16
17
1.337
1.333
1.330
1.746
1.740
1.734
2.120
2.110
2.101
2.583
2.567
2.552
2.539
2.528
4.015
3.965
18
0.688
3.922
2.214
2.205
2.197
3.610
2.093
2.086
3.174
3.153
19
0.688
1.328
1.729
3.579
0.861
0.860
2.861
2.845
3.883
20
0.687
1.064
1.325
1.725
3.552
3.850
0.859
0.858
0.858
1.063
1.061
1.060
1.059
1.058
1.323
1.321
1.319
1.721
1.717
2.080
2.074
2.069
2.831
2.819
2.807
3.135
3.119
3.104
3.091
3.078
3.527
3.505
3.485
21
22
0.686
0.686
0.685
2.189
2.183
2.177
2.172
2.167
2.500
2.492
2.485
2.518
2.508
3.819
3.792
3.768
3.745
23
1.714
0.857
0.856
24
0.685
1.318
1.711
2.064
2.797
3.467
25
0.684
1.316
1.708
2.060
2.787
3.450
3.725
1.058
1.057
1.706
1.703
2.056
2.052
2.048
2.045
2.042
2.779
2.771
0.856
1.315
2.162
2.479
2.473
26
0.684
3.067
3.435
3.707
0.855
0.855
3.057
3.047
3.038
3.030
3.421
3.408
1.314
1.313
1.311
1.310
3.690
3.674
27
0.684
0.683
0.683
0.683
2.158
2.154
1.701
1.699
1.697
2.467
2.462
2.457
2.763
2.756
2.750
28
1.056
29
30
0.854
0.854
1.055
1.055
2.150
2.147
3.396
3.385
3.659
3.646
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
cas
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