A single sample T-test is to be done on a study about typhoons. Many believe that the average number of typhoons that enter the Philippines each year is 18 (μo ≥ 18). Some climatologists, however, observe that the true average number of typhoons that enter the Philippines each year less than 18. Science teachers from LPU collected the data about the typhoons that entered the country each year since 2018 (n = 9). The sample mean is x = 17. The sample standard deviation of s = 1.5. 32. State and Null and Alternative Hypotheses. 33. What is the level of confidence? 34. What is the critical value? Hint: You will find it in the table for T-Test. 35. Write the decision rule. 36. What is the equivalent T-score of x = 17? A. 1.5 C. -2.00 B. 7. D. 2.67 37. What is the conclusion to this problem after performing T-Test?
A single sample T-test is to be done on a study about typhoons. Many believe that the average number of typhoons that enter the Philippines each year is 18 (μo ≥ 18). Some climatologists, however, observe that the true average number of typhoons that enter the Philippines each year less than 18. Science teachers from LPU collected the data about the typhoons that entered the country each year since 2018 (n = 9). The sample mean is x = 17. The sample standard deviation of s = 1.5. 32. State and Null and Alternative Hypotheses. 33. What is the level of confidence? 34. What is the critical value? Hint: You will find it in the table for T-Test. 35. Write the decision rule. 36. What is the equivalent T-score of x = 17? A. 1.5 C. -2.00 B. 7. D. 2.67 37. What is the conclusion to this problem after performing T-Test?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:cum. prob
one-tail
two-tails
4
5
7
8
9
t.50
0.50
1.00
10
11
12
13
t.75
t.80
0.25
0.20
0.50 0.40
0.000 0.678
0.000
0.677
0.000
0.675
0.000
0%
df
1
0.000
3.078
1.886
6.314 12.71 31.82
2.920 4.303 6.965
63.66 318.31 636.62
9.925 22.327 31.599
12.924
8.610
0.000
0.000
0.741
0.727
0.718
0.000
1.000 1.376 1.963
2 0.000 0.816 1.061 1.386
3 0.000 0.765 0.978 1.250 1.638 2.353 3.182 4.541 5.841 10.215
0.941 1.190 1.533 2.132 2.776 3.747 4.604 7.173
0.920 1.156 1.476 2.015 2.571 3.365
4.032 5.893 6.869
0.906 1.134 1.440 1.943 2.447 3.143 3.707 5.208 5.959
0.896 1.119 1.415 1.895 2.365 2.998 3.499 4.785 5.408
0.889 1.108 1.397 1.860 2.306 2.896 3.355 4.501 5.041
1.100 1.383 1.833 2.262 2.821 3.250 4.297 4.781
1.093 1.372 1.812 2.228 2.764 3.169 4.144 4.587
1.088 1.363 1.796 2.201 2.718
3.106
4.025
1.083 1.356
1.782 2.179 2.681 3.055 3.930
1.079 1.350 1.771 2.160
0.000
0.711
0.000
0.706
0.000
0.703 0.883
0.000
0.700
0.879
0.000
0.697
0.876
4.437
0.000
0.695
0.873
4.318
0.000
0.694
0.870
2.650 3.012
3.852
4.221
14
0.000
0.692
0.868
1.076 1.345
2.977
3.787
4.140
15
0.000
0.691 0.866
1.074
1.341
1.753 2.131
2.947
3.733
4.073
16
0.000
0.690
0.865 1.071
1.337
4.015
17
0.000
0.689
0.863
1.069
1.333
3.965
18 0.000
0.688
0.862
1.067
2.878 3.610 3.922
2.861 3.579
19
3.883
3.552
3.850
3.527
3.819
3.505
3.792
23
3.485
3.768
24
3.467
3.745
3.450
3.725
1.761 2.145 2.624
2.602
1.746 2.120 2.583 2.921 3.686
1.740 2.110 2.567 2.898 3.646
1.330 1.734 2.101 2.552
0.000 0.688 0.861 1.066 1.328 1.729 2.093 2.539
20 0.000 0.687 0.860 1.064 1.325 1.725 2.086 2.528 2.845
21 0.000 0.686 0.859 1.063 1.323 1.721 2.080 2.518 2.831
22 0.000 0.686 0.858 1.061 1.321 1.717 2.074 2.508 2.819
0.000 0.685 0.858 1.060 1.319 1.714 2.069 2.500 2.807
0.000 0.685 0.857 1.059 1.318 1.711 2.064 2.492
2.797
25 0.000 0.684 0.856 1.058 1.316 1.708 2.060 2.485 2.787
26 0.000 0.684 0.856 1.058 1.315 1.706 2.056 2.479
27 0.000 0.684 0.855 1.057 1.314 1.703 2.052 2.473
28 0.000 0.683 0.855 1.056 1.313 1.701 2.048 2.467 2.763
0.683 0.854 1.055 1.311 1.699
2.045 2.462 2.756
0.683
1.310 1.697 2.042 2.457
2.750 3.385
1.303 1.684 2.021 2.423 2.704 3.307
1.296 1.671 2.000 2.390 2.660 3.232
1.292 1.664 1.990 2.374 2.639 3.195
1.660 1.984 2.364 2.626 3.174
2.330 2.581 3.098
2.326 2.576 3.090 3.291
98% 99% 99.8% 99.9%
2.779
3.435
2.771
3.421
3.408
29
0.000
3.396
30
0.000
0.854 1.055
40
0.000
0.681
0.851 1.050
60 0.000
0.679
0.848
1.045
0.846
1.043
80
100
0.845
1.042
1.290
1000
0.842 1.037
1.282
1.646 1.962
Z
t-test table
0.674
0.842
50% 60%
t.85
t.90
0.15
0.10
0.30 0.20
t 95
t.975
0.05
0.025
0.10 0.05
1.036
70%
1.282
1.645
80% 90%
Confidence Level
t.99
0.01
0.02
1.960
95%
t 999
t 9995
t.995
0.005 0.001
0.0005
0.01 0.002 0.001
3.707
3.690
3.674
3.659
3.646
3.551
3.460
3.416
3.390
3.300
Transcribed Image Text:A single sample T-test is to be done on a study about typhoons. Many believe that the
average number of typhoons that enter the Philippines each year is 18 (μ ≥ 18). Some
climatologists, however, observe that the true average number of typhoons that enter the
Philippines each year less than 18.
Science teachers from LPU collected the data about the typhoons that entered the
country each year since 2018 (n = 9). The sample mean is = 17. The sample standard
deviation of s = 1.5.
32. State and Null and Alternative Hypotheses.
33. What is the level of confidence?
34. What is the critical value? Hint: You will find it in the table for T-Test.
35. Write the decision rule.
36. What is the equivalent T-score of x = 17?
A. 1.5
B. 7.54
C. -2.00
D. 2.67
37. What is the conclusion to this problem after performing T-Test?
STANDARD NORMAL TABLE (Z)
Entries in the table give the area under the curve
between the mean and z standard deviations above
the mean. For example, for z= 1.25 the area under
the curve between the mean (0) and z is 0.3944.
0.05
0.0190
0.09
0.1879
0.2224
Z
0.00 0.01
0.02 0.03
0.04
0.06
0.07 0.08
0.0 0.0000 0.0040 0.0080 0.0120 0.0160
0.0239 0.0279 0.0319 0.0359
0.1 0.0398 0.0438 0.0478 0.0517 0.0557 0.0596 0.0636 0.0675 0.0714
0.0753
0.2 0.0793 0.0832 0.0871 0.0910 0.0948 0.0987 0.1026 0.1064 0.1103 0.1141
0.3 0.1179 0.1217 0.1255 0.1293 0.1331 0.1368 0.1406 0.1443 0.1480 0.1517
0.4 0.1554 0.1591 0.1628 0.1664 0.1700 0.1736 0.1772 0.1808 0.1844
0.5 0.19
0.1950 0.1985 0.2019 0.2054 0.2
0.2123 0.2157 0.2190
0.6 0.2257 0.2291 0.2324 0.2357 0.2389 0.2422 0.2454 0.2486 0.2517 0.2549
0.7 0.2580 0.2611 0.2642 0.2673 0.2704 0.2734 0.2764 0.2794 0.2823 0.2852
0.8 0.2881 0.2910 0.2939 0.2969 0.2995 0.3023 0.3051 0.3078 0.3106 0.3133
0.9 0.3159 0.3186 0.3212 0.3238 0.3264 0.3289 0.3315 0.3340 0.3365 0.3389
1.0 0.3413 0.3438 0.3461 0.3485 0.3508 0.3513 0.3554 0.3577 0.3529 0.3621
1.1 0.3643 0.3665 0.3686 0.3708 0.3729 0.3749 0.3770 0.3790 0.3810 0.3830
1.2 0.3849 0.3869 0.3888 0.3907 0.3925 0.3944 0.3962 0.3980 0.3997 0.4015
1.3 0.4032 0.4049 0.4066 0.4082 0.4099 0.4115 0.4131 0.4147 0.4162 0.4177
1.4 0.4192 0.4207 0.4222 0.4236 0.4251 0.4265 0.4279 0.4292 0.4306 0.4319
1.5
0.4332 0.4345 0.4357 0.4370 0.4382 0.4394 0.4406 0.4418 0.4429 0.4441
1.6 0.4452 0.4463 0.4474 0.4484 0.4495 0.4505 0.4515 0.4525 0.4535 0.4545
1.7 0.4554 0.4564 0.4573 0.4582 0.4591 0.4599 0.4608 0.4616 0.4625 0.4633
1.8 0.4641 0.4649 0.4656 0.4664 0.4671 0.4678 0.4686 0.4693 0.4699 0.4706
1.9 0.4713 0.4719 0.4726 0.4732 0.4738 0.4744 0.4750 0.4756 0.4761 0.4767
2.0 0.4772 0.4778 0.4783 0.4788 0.4793 0.4798 0.4803 0.4808 0.4812 0.4817
2.1 0.4821 0.4826 0.4830 0.4834 0.4838 0.4842 0.4846 0.4850 0.4854 0.4857
2.2 0.4861 0.4864 0.4868 0.4871 0.4875 0.4878 0.4881 0.4884 0.4887 0.4890
2.3 0.4893 0.4896 0.4898 0.4901 0.4904 0.4906 0.4909 0.4911 0.4913 0.4916
0.4918 0.4920 0.4922 0.4925 0.4927 0.4929 0.4931 0.4932 0.4934 0.4936
2.5 0.4938 0.4940 0.4941 0.4943 0.4945 0.4946 0.4948 0.4949 0.4951 0.4952
2.6 0.4953 0.4955 0.4956 0.4957 0.4959 0.4960 0.4961 0.4962 0.4963
0.4964
2.7
0.4965 0.4966 0.4967 0.4968 0.4969 0.4970 0.4971 0.4972 0.4973 0.4974
2.8 0.4974 0.4975 0.4976 0.4977 0.4977 0.4978 0.4979 0.4979 0.4980 0.4981
2.9 0.4981 0.4982 0.4982 0.4983 0.4984 0.4984 0.4985 0.4985 0.4986 0.4986
3.0 0.4987 0.4987 0.4987 0.4988 0.4988 0.4989 0.4989 0.4989 0.4990 0.4990
3.1 0.4990 0.4991 0.4991 0.4991 0.4992 0.4992 0.4992 0.4992 0.4993 0.4993
3.2 0.4993 0.4993 0.4994 0.4994 0.4994 0.4994 0.4994 0.4995 0.4995 0.4995
3.3 0.4995 0.4995 0.4995 0.4996 0.4996 0.4996 0.4996 0.4996 0.4996 0.4997
3.4 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4998
2.4
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