1-DistributionArea in Right Taildf1.250.200.150.100.050.0250.020.010.0050,00250,0010.0005df1.3761.0610.9780.9410.92063142.9202.3532.13212.7064.3033.1822.776318.30922.32710.2157.1735.8931.9631.3863.0781.88615.8944.8493422.99931.8216.9654.5413.74763.6579.9255.8414.604127.32114.089636.61931.5991.0000.8160.7650.741in1.2501.190L15616381.53374535.5984.77312.9248.6100.7271476201525712.7573.3654.0326.8090.7187.0.7110.7061.44014151.3972.4472.3652.3062.2623.7073.4993.3553.2505.2084.7854.5014.2974.1440.9061.134L1191.108L.10010931.94326122517244923982.3593.1432.9982.N962.8212.76443174.02938333.6905.9590.8961.8951.8601.8335.4085.04170.7030.7001.38313720.8834.781100.8791.8122.2283.1693.5814.587101.36313561.O881112132.3282.3032.2822.26422492.7182.6812.6503.1063.0553.0122.9772.9470.6970.8761.7961.7821.7711.7611.7532.2013.4974.0253.9303.8524.43721792.1600.6950.6940.6920.6910.8730.8703.4283.3723.3263.28643184.22112131.3501.3451.34110791415LO7610742.1452.1312.6242.6023,7873.7334.14014150.8664.0731.3371.3331.3302.12021102.1012.0932.0862235222422142.2052.1970.8650.8631.7461.7402.5832.5673.2523.2223.1973.1743.15316173.6863.6460,6902.9212.8982.8784.0153.9653.9223.S833.85016170.689106918190.6880.6880.8620.8610,8603.6103.5791.0671.7341.7292.552181.3281.325253925282.8612.8451.06619200.687L0641.7253.5522021220.6860.6860.8590,8581.063106110601.3231.3211.7211.7171.7141.7112.0802.0742.0692.0643.1353.1192.1892.183251825082.8312.8193.5273.50538193.7923.7683.74521222324O85808571.3191.3181.3162.1772.1722.167250024922.8072.7973.1043.091348S3.4673.45023240.6851059LOS80.68408561.7082.0602.7872.7792.7712.7632.7562.75025248530783.725250.6840.6840.683263.707085608551.0581O571.O561.0551OS51.3151.7061.7031.7012.0562.0522.0482.04520422.1622.1582.154247924732467246224573.06734353421261.3141.3131311131027283.0573.0473.6903.6743.6593.646272829300.6830683ORSS0.8540.8541.699L6972.1502.1473.0383.0303.4083.3963.38529300.6820.6820.6821.054LO541.0531.0521O523.3753.3653.3562.4533.6333.6223.6113.6013.591310.8531.3091.6962.04021442.7443.022310.8530.8530.8520.8521.3091.3081.3072.0372.0352.0322.0302.7382.7332.7282.72432331.6941.6923.0153.00821412138213621332449323334350.6820.6821.6911.6902.445244124383.0022.9963.3483.34034351306L0521.O512.7192.7152.7122.7082.704360.6810.6810.8521.30616882.0282.0262.0242.0232.0212.1312.1292.1272.12521232434243124292.4262.4232.9903.3333.5823.5743.5663.5583.55136373839400.6810.6810.681O8SI0.8510.8510.8511.3051.3041.3041.3031.6871.6861.6851.6842.9852.9802.97629713.3263.3193.3133.307373839401.050LO5006790.6791.0471.0451.29912961.6761.6712.1092.0992.6782.6602.9372.9152.8992.8872.8783.4963.460500.8492.0092.0002.4032.3903.261500.8483.232600.6780.6780.8470.8461.2941.292129116671.66420932.0882.0842.3812.3742.36870L044104310421.9941.9901.9872.6482.6392.6323,2113.1953.1833.4353.4163.40270900.6770.846L662901.2901.28212820.6770.8451042L03710361.9841.9621.9602.0812.0562.0542.3642.3302.3262.6262.5812.576287128132.8073.1743.3903.300 10003.291:1001.6601.64616451000.6750.6743.0983.09010000.8420.842df0.250.200.150.100.0250.020.010.N251.0005df To test Ho: µ = 20 versus H,: µ<20, a simple random sample of size n= 17 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.(a) If x = 18.4 and s = 4.3, compute the test statistic.%3=(Round to two decimal places as needed.)

Solution: State the hypotheses. Null hypothesis: H0: µ=20 Alternative hypothesis: H1: µ<20

To test Ho: u = 20 versus H,: µ< 20, a simple random sample of size n= 17 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. (a) If x = 18.4 and s = 4.3, compute the test statistic. t= (Round to two decimal places as needed.)

To test Ho: u = 20 versus H,: µ< 20, a simple random sample of size n= 17 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. (a) If x = 18.4 and s = 4.3, compute the test statistic. t= (Round to two decimal places as needed.)

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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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

1-Distribution
Area in Right Tail
df
1.25
0.20
0.15
0.10
0.05
0.025
0.02
0.01
0.005
0,0025
0,001
0.0005
df
1.376
1.061
0.978
0.941
0.920
6314
2.920
2.353
2.132
12.706
4.303
3.182
2.776
318.309
22.327
10.215
7.173
5.893
1.963
1.386
3.078
1.886
15.894
4.849
342
2.999
31.821
6.965
4.541
3.747
63.657
9.925
5.841
4.604
127.321
14.089
636.619
31.599
1.000
0.816
0.765
0.741
in
1.250
1.190
L156
1638
1.533
7453
5.598
4.773
12.924
8.610
0.727
1476
2015
2571
2.757
3.365
4.032
6.809
0.718
7.
0.711
0.706
1.440
1415
1.397
2.447
2.365
2.306
2.262
3.707
3.499
3.355
3.250
5.208
4.785
4.501
4.297
4.144
0.906
1.134
L119
1.108
L.100
1093
1.943
2612
2517
2449
2398
2.359
3.143
2.998
2.N96
2.821
2.764
4317
4.029
3833
3.690
5.959
0.896
1.895
1.860
1.833
5.408
5.041
7
0.703
0.700
1.383
1372
0.883
4.781
10
0.879
1.812
2.228
3.169
3.581
4.587
10
1.363
1356
1.O88
11
12
13
2.328
2.303
2.282
2.264
2249
2.718
2.681
2.650
3.106
3.055
3.012
2.977
2.947
0.697
0.876
1.796
1.782
1.771
1.761
1.753
2.201
3.497
4.025
3.930
3.852
4.437
2179
2.160
0.695
0.694
0.692
0.691
0.873
0.870
3.428
3.372
3.326
3.286
4318
4.221
12
13
1.350
1.345
1.341
1079
14
15
LO76
1074
2.145
2.131
2.624
2.602
3,787
3.733
4.140
14
15
0.866
4.073
1.337
1.333
1.330
2.120
2110
2.101
2.093
2.086
2235
2224
2214
2.205
2.197
0.865
0.863
1.746
1.740
2.583
2.567
3.252
3.222
3.197
3.174
3.153
16
17
3.686
3.646
0,690
2.921
2.898
2.878
4.015
3.965
3.922
3.S83
3.850
16
17
0.689
1069
18
19
0.688
0.688
0.862
0.861
0,860
3.610
3.579
1.067
1.734
1.729
2.552
18
1.328
1.325
2539
2528
2.861
2.845
1.066
19
20
0.687
L064
1.725
3.552
20
21
22
0.686
0.686
0.859
0,858
1.063
1061
1060
1.323
1.321
1.721
1.717
1.714
1.711
2.080
2.074
2.069
2.064
3.135
3.119
2.189
2.183
2518
2508
2.831
2.819
3.527
3.505
3819
3.792
3.768
3.745
21
22
23
24
O858
0857
1.319
1.318
1.316
2.177
2.172
2.167
2500
2492
2.807
2.797
3.104
3.091
348S
3.467
3.450
23
24
0.685
1059
LOS8
0.684
0856
1.708
2.060
2.787
2.779
2.771
2.763
2.756
2.750
25
2485
3078
3.725
25
0.684
0.684
0.683
26
3.707
0856
0855
1.058
1O57
1.O56
1.055
1OS5
1.315
1.706
1.703
1.701
2.056
2.052
2.048
2.045
2042
2.162
2.158
2.154
2479
2473
2467
2462
2457
3.067
3435
3421
26
1.314
1.313
1311
1310
27
28
3.057
3.047
3.690
3.674
3.659
3.646
27
28
29
30
0.683
0683
ORSS
0.854
0.854
1.699
L697
2.150
2.147
3.038
3.030
3.408
3.396
3.385
29
30
0.682
0.682
0.682
1.054
LO54
1.053
1.052
1O52
3.375
3.365
3.356
2.453
3.633
3.622
3.611
3.601
3.591
31
0.853
1.309
1.696
2.040
2144
2.744
3.022
31
0.853
0.853
0.852
0.852
1.309
1.308
1.307
2.037
2.035
2.032
2.030
2.738
2.733
2.728
2.724
32
33
1.694
1.692
3.015
3.008
2141
2138
2136
2133
2449
32
33
34
35
0.682
0.682
1.691
1.690
2.445
2441
2438
3.002
2.996
3.348
3.340
34
35
1306
L052
1.O51
2.719
2.715
2.712
2.708
2.704
36
0.681
0.681
0.852
1.306
1688
2.028
2.026
2.024
2.023
2.021
2.131
2.129
2.127
2.125
2123
2434
2431
2429
2.426
2.423
2.990
3.333
3.582
3.574
3.566
3.558
3.551
36
37
38
39
40
0.681
0.681
0.681
O8SI
0.851
0.851
0.851
1.305
1.304
1.304
1.303
1.687
1.686
1.685
1.684
2.985
2.980
2.976
2971
3.326
3.319
3.313
3.307
37
38
39
40
1.050
LO50
0679
0.679
1.047
1.045
1.299
1296
1.676
1.671
2.109
2.099
2.678
2.660
2.937
2.915
2.899
2.887
2.878
3.496
3.460
50
0.849
2.009
2.000
2.403
2.390
3.261
50
0.848
3.232
60
0.678
0.678
0.847
0.846
1.294
1.292
1291
1667
1.664
2093
2.088
2.084
2.381
2.374
2.368
70
L044
1043
1042
1.994
1.990
1.987
2.648
2.639
2.632
3,211
3.195
3.183
3.435
3.416
3.402
70
90
0.677
0.846
L662
90
1.290
1.282
1282
0.677
0.845
1042
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1036
1.984
1.962
1.960
2.081
2.056
2.054
2.364
2.330
2.326
2.626
2.581
2.576
2871
2813
2.807
3.174
3.390
3.300 1000
3.291:
100
1.660
1.646
1645
100
0.675
0.674
3.098
3.090
1000
0.842
0.842
df
0.25
0.20
0.15
0.10
0.025
0.02
0.01
0.N25
1.0005
df

To test Ho: µ = 20 versus H,: µ<20, a simple random sample of size n= 17 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.
(a) If x = 18.4 and s = 4.3, compute the test statistic.
%3=
(Round to two decimal places as needed.)

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