To test Ho: µ = 100 versus H,: µ# 100, a simple random sample size of n = 24 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 = 104.6 and s = 8.5, compute the test statistic. (Round to three decimal places as needed.)
To test Ho: µ = 100 versus H,: µ# 100, a simple random sample size of n = 24 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 = 104.6 and s = 8.5, compute the test statistic. (Round to three 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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Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Question
Transcribed Image Text:t-Distribution Area in Right Tail
1-Distribution
Arca 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
63.657
9.925
5.841
4.604
4.032
636.619
31.599
12.924
8,610
6.869
1
1.000
0.816
0.765
1.376
1.963
1.386
1.250
1.190
1.156
3.078
1.886
1.638
1.533
1.476
6.314
2.920
2.353
2.132
2.015
12.706
4.303
3.182
2.776
2.571
15.894
31.821
6.965
4.541
3.747
3.365
127.321
14.089
7.453
5.598
4.773
318.309
22.327
10.215
7.173
5.893
1
1.061
0.978
0.941
0.920
4.849
3.
0.741
0.727
3.482
2.999
2.757
3
0.718
0.711
8.
1.440
1.415
1.397
1.383
1.372
2.447
2.365
2.306
2.262
2.228
0,906
1.134
1.119
1.108
1.100
1.093
1.943
1.895
1.860
1.833
1.812
2.612
2.517
2.449
2.398
2.359
3.143
2.998
2.896
2.821
2.764
3.707
3.499
3.355
3.250
3.169
4.317
4.029
3.833
3.690
3.581
5.208
4.785
4.501
4.297
5.959
5.408
5.041
4.781
4.587
6.
6.
0.706
0.703
0.700
0.896
0,889
0.883
0.879
8
10
4.144
10
0.697
0.695
0.694
0.692
0,691
0.876
0.873
0.870
0.868
0.866
1.088
1.083
1.079
1.076
1.074
1.363
1.356
1.350
1.345
1.341
1.796
1.782
1.771
1.761
1.753
2.201
2.179
2.160
2.145
2.131
2.328
2.303
2.282
2.718
2.681
2.650
2.624
2.602
3.106
3.055
3.012
3.497
3.428
3.372
3.326
3.286
11
4.025
4.437
11
3.930
3.852
3.787
3.733
12
13
4.318
12
13
4.221
14
15
4.140
14
2.249
2.947
4.073
15
0,865
0.863
0,862
0.861
1.337
1.333
2.120
2.110
2.101
2.093
2.086
3.252
3.222
3.197
3.174
3.153
3.686
3.646
3.610
3.579
3.552
4.015
3.965
2.235
2.224
2.214
2.205
2.197
2.583
2.567
2.552
2,539
2.528
2.921
2.898
2.878
2.861
2.845
16
17
0.690
0.689
1.071
1.069
1.067
1.066
1.064
1.746
1.740
1.734
1.729
1.725
16
17
0,688
0,688
0.687
1.330
1.328
1.325
18
3.922
3.883
3.850
18
19
19
20
0.860
20
3.135
3.119
3.104
3.091
3.078
21
22
0.686
0.686
0,859
1.063
1.061
1.060
1.323
1.321
1.319
1.318
1.316
1.721
1.717
1.714
1.711
1.708
2.080
2.189
2.183
2.177
2.518
2.508
2.831
2.819
2.807
3.527
3.505
3.485
3.467
3.450
3.819
3.792
3.768
3.745
3.725
21
22
0.858
0.858
0857
0856
2.074
2.069
23
0.685
0.685
0.684
2.500
23
1.059
1.058
2.172
2.167
2.797
2.787
24
2.064
2.060
2.492
2.485
24
25
25
26
27
28
0.684
0,684
0,683
0.683
0,683
0856
0,855
0.855
0.854
0.854
1.058
1.057
1.056
1.055
1.055
1.315
1.314
1.313
1.311
1.310
1.706
1.703
1.701
1.699
1.697
2.056
2.052
2.048
2.045
2.042
2.162
2.158
2.154
2.150
2.147
2.479
2.473
2.467
2.462
2.457
2.779
2.771
2.763
2.756
2.750
3.067
3.057
3.047
3.038
3.030
3.435
3.421
3.408
3.396
3.385
3.707
3.690
3.674
3.659
3.646
26
27
28
29
30
29
30
3.022
3.015
3.008
3.002
2.996
3.375
3.365
3.356
3.348
3.340
31
32
0,682
0.682
0.682
0,853
0.853
0,853
0,852
0.852
1.054
1.054
1.053
1.052
1.052
1.309
1.309
1.308
1.307
1.306
1.696
1.694
1.692
1.691
1.690
2.040
2.037
2.035
2.032
2.030
2.144
2.141
2.138
2.136
2.133
2.453
2.449
2.445
2.441
2.438
2.744
2.738
2.733
2.728
2.724
3.633
3.622
3.611
3.601
3.591
31
32
33
33
34
35
0.682
0.682
34
35
1.306
1.305
1.304
1.304
1.303
2.990
2.985
2.980
2.976
2.971
3.333
3.326
3.582
3.574
3.566
3.558
3.551
36
0.681
0.681
0.681
0,681
0.852
0.851
1.052
1.051
1.051
1.050
1.688
2.028
2.026
2.024
2.023
2.021
2.131
2.129
2.434
2.719
2.715
36
37
1.687
37
2.127
2.125
2.123
2.431
2.429
2.426
2.423
38
39
0.851
0.851
0.851
1.686
1.685
1.684
2.712
2.708
2.704
3.319
3.313
3.307
38
39
40
0.681
1.050
40
1.047
1.045
2.009
2.000
0.679
0.679
0.678
0.678
0.677
2.109
2.099
2.093
2.088
2.084
2.403
2.390
2.381
2.374
2.368
2.678
2.660
2.648
2.639
2.632
2.937
2.915
2.899
2.887
2.878
3.261
3.232
3.211
3.195
3.183
50
0.849
1.299
1.296
1.294
1.292
1.291
1.676
1.671
1.667
1.664
1.662
3.496
3.460
3.435
50
60
0.848
60
0,847
0,846
70
70
1.044
1.043
1.042
1.994
1.990
80
3.416
3.402
80
90
0.846
1.987
90
0.677
0.675
0.674
1.290
1.282
1.282
1.984
1.962
1.960
3.174
3.098
3.090
100
0,845
0.842
0,842
1.042
1.037
1.036
1.660
1.646
1.645
2.081
2.056
2.054
2.364
2.330
2.326
2.626
2.581
2.576
2.871
2.813
2.807
3.390
3.300 1000
3.291 z
100
1000
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
Print
Done
Transcribed Image Text:To test Ho: µ = 100 versus H,: µ # 100, a simple random sample size of n = 24 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 = 104.6 and s = 8.5, compute the test statistic.
t=
(Round to three decimal places as needed.)
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