College suggest at is, are they scoring above 25 on the mathematics portion of the exam? Complete parts a) through d) below. Click the icon to view the table of critical t-values. ... State the appropriate null and alternative hypotheses. Fill in the correct answers below. versus H,: e appropriate null and alternative hypotheses are H,: ype integers or decimals. Do not round.) ) Verify that the requirements to perform the test using the t-distribution are satisfied. Select all that apply. ] A. The sample size is larger than 30. ] B. A boxplot of the sample data shows no outliers. ] C. The students' test scores were independent of one another. ] D. The students were randomly sampled.

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

20

Area in
right tail
(-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
1.000
2
0,816
3
0.765
4
0,741
5
0.727
12.706
4.303
3.182
2.776
2.571
15.894
4,849
3.482
2.999
2.757
31.821
6.965
4.541
3.747
3.365
63.657
9.925
5.841
4.604
4.032
318.309
22.327
10.215
7.173
5.893
636.619
31,599
12.924
8.610
6.869
1
1.376
1.061
0.978
0.941
0.920
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
127.321
14.089
7.453
5.598
4.773
1
2
3
4
5
1.134
1.119
1.108
1.100
1.093
0.718 0.906
1.440
1.415
1.397
1.383
1.372
1.943
1.895
1.860
1.833
1.812
2.447
2.365
2.306
2.262
2.228
2.612
2.517
2.449
2.398
3.143
2.998
2.896
2.821
2,764
3.707
3.499
3.355
3.250
4.317
5.208
4.785
4.501
4.297
4.144
5.959
5.408
5.041
4.781
4.587
0.711
0.896
4.029
3.833
3.690
3.581
7
8
0.706 0.889
0.703
9
0.700
0.883
0.879
8
9
10
2.359
3.169
10
2.328
2.303
2.282
2.264
2.249
4.025
3.930
3.852
3.787
3.733
4.437
4.318
4.221
4.140
4.073
11
0.697
0,876
0.873
0.870
1.088
1.363
1.796
2.201
2.718
3.106
3.055
3.012
2.977
2.947
3.497
11
12
13
14
0.695
0.694
0,692
0.691
1.083
1.079
1.076
1.074
1.356
1.350
1.345
1.341
1.782
1.771
1.761
1.753
2.179
2.160
2.145
2.131
2.681
2,650
2,624
2.602
3.428
3.372
3.326
3.286
12
13
0.868
14
15
0.866
15
1.071
1.069
1.067
2.120
2.110
2.101
2.093
2.583
2.567
2.552
2.539
2.528
2.235
2.224
4.015
3.965
3.922
3.883
3.850
0.690 0.865
1.337
1.333
1.330
1.746
1.740
1.734
1.729
1.725
2.921
2.898
2.878
2.861
2.845
3.252
3,222
3.197
3.174
3.153
16
17
3.686
3.646
16
0.689 0.863
0.688 0.862
0.688 0.861
0.687 0.860
17
18
19
20
1.066 1.328
1.064
1.325
2.214
2.205
2.197
3.610
3.579
3.552
18
19
20
2.086
2.189
2.183
2.177
2.518
2.508
2.500
2.492
2.485
3.135
3.119
3.104
3.527
3.505
3.485
3.819
3.792
3.768
21
0.686
0.859
1.063
1.061
0.858 1.060 1.319
1.059
1.058 1.316
1.323
1.721
2.080
2.831
2.819
2.807
2.797
2.787
21
22
23
22
0.686
0.685
0,685
0.858
1.321
1.717
1.714
1.318 1.711
1.708
2.074
2.069
2.064
2.060
23
24
0.857
2.172
3.091
3.467
3.745
24
25
0.684
0.856
2.167
3.078
3.450
3.725
25
0.856
0.855
0.855
0.854
0.854
1.058
1.057
1.056 1.313
1.055
1.055
1.706
1.703
1.701
1.699
1.697
3.707
3.690
3.674
3.659
3.646
2.779
3.435
3.421
3.408
3.396
3.385
26
1.315
1.314
2.056
2.052
2.048
2.045
2.042
2.162
2.158
2.154
2.150
2.479
2.473
2,467
2.462
2.457
3.067
3.057
3.047
3.038
3.030
26
27
28
29
30
0.684
0.684
0,683
0.683
0.683
2.771
27
1.311
1.310
2.763
2.756
2.750
28
29
2.147
30
31
32
33
0.682
0.682
0.682
0.682
0,682
0.853
0.853
0.853
1.309
1.309
1.308
1.307
1.306
2.040
2.037
2.035
2.032
2.030
2.144
2.141
2.138
2.136
2.133
3.633
3.622
3.611
3,601
3.591
1.054
1.696
2.453
2.449
2.445
2.441
2.438
2.744
1.054
1.053
1.052
1.052
1.694
1.692
1.691
1.690
2.738
2.733
2.728
2.724
3.022
3.015
3.008
3,002
2.996
3.375
3.365
3.356
3.348
3.340
31
32
33
34
35
0.852
34
0,852
35
3.582
3.574
36
0.852
0.851
0.851
0.851
0.851
1.052
1.051
1.306
1.305
1.304
1.304
1.303
1.688
2.028
2.026
2.024
2.023
2.021
2.131
2.129
2.127
2.125
2.123
2.434
2.719
2.715
2.990
2.985
2.980
2.976
2.971
3.333
36
37
0.681
3.326
3.319
3.313
3.307
37
0.681
1.687
2.431
38
39
40
0.681
0.681
0.681
1.051
1.050
1.050
1.686
1.685
1.684
2.429
2.426
2.423
2.712
2.708
2.704
3.566
3.558
3.551
38
39
40
50
60
70
0.679
0.679
0.678 0.847
0.678
0.677
1.299
1.296
1.294
1.292
1.291
1.676
1.671
1.667
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
3.496
3.460
3.435
3.416
3.402
0,849
1.047
1.045
1.044
1.043
1.042
2.009
2.000
1.994
1.990
1.987
2.109
2.099
2.093
2.088
2.084
2.403
2,390
2.381
2.374
2.368
50
0.848
60
70
80
0.846
1.664
80
90
0.846
1.662
3.183
90
0.677
0,675
0.674
0.845
0.842
0.842
1.042
1.037
1.036
1.290
1.282
1.282
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
100
1000
1.984
1.962
1.960
3.174
3.098
3.090
100
3.300 1000
3.291
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
Transcribed Image Text:Area in right tail (-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 1.000 2 0,816 3 0.765 4 0,741 5 0.727 12.706 4.303 3.182 2.776 2.571 15.894 4,849 3.482 2.999 2.757 31.821 6.965 4.541 3.747 3.365 63.657 9.925 5.841 4.604 4.032 318.309 22.327 10.215 7.173 5.893 636.619 31,599 12.924 8.610 6.869 1 1.376 1.061 0.978 0.941 0.920 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 2.015 127.321 14.089 7.453 5.598 4.773 1 2 3 4 5 1.134 1.119 1.108 1.100 1.093 0.718 0.906 1.440 1.415 1.397 1.383 1.372 1.943 1.895 1.860 1.833 1.812 2.447 2.365 2.306 2.262 2.228 2.612 2.517 2.449 2.398 3.143 2.998 2.896 2.821 2,764 3.707 3.499 3.355 3.250 4.317 5.208 4.785 4.501 4.297 4.144 5.959 5.408 5.041 4.781 4.587 0.711 0.896 4.029 3.833 3.690 3.581 7 8 0.706 0.889 0.703 9 0.700 0.883 0.879 8 9 10 2.359 3.169 10 2.328 2.303 2.282 2.264 2.249 4.025 3.930 3.852 3.787 3.733 4.437 4.318 4.221 4.140 4.073 11 0.697 0,876 0.873 0.870 1.088 1.363 1.796 2.201 2.718 3.106 3.055 3.012 2.977 2.947 3.497 11 12 13 14 0.695 0.694 0,692 0.691 1.083 1.079 1.076 1.074 1.356 1.350 1.345 1.341 1.782 1.771 1.761 1.753 2.179 2.160 2.145 2.131 2.681 2,650 2,624 2.602 3.428 3.372 3.326 3.286 12 13 0.868 14 15 0.866 15 1.071 1.069 1.067 2.120 2.110 2.101 2.093 2.583 2.567 2.552 2.539 2.528 2.235 2.224 4.015 3.965 3.922 3.883 3.850 0.690 0.865 1.337 1.333 1.330 1.746 1.740 1.734 1.729 1.725 2.921 2.898 2.878 2.861 2.845 3.252 3,222 3.197 3.174 3.153 16 17 3.686 3.646 16 0.689 0.863 0.688 0.862 0.688 0.861 0.687 0.860 17 18 19 20 1.066 1.328 1.064 1.325 2.214 2.205 2.197 3.610 3.579 3.552 18 19 20 2.086 2.189 2.183 2.177 2.518 2.508 2.500 2.492 2.485 3.135 3.119 3.104 3.527 3.505 3.485 3.819 3.792 3.768 21 0.686 0.859 1.063 1.061 0.858 1.060 1.319 1.059 1.058 1.316 1.323 1.721 2.080 2.831 2.819 2.807 2.797 2.787 21 22 23 22 0.686 0.685 0,685 0.858 1.321 1.717 1.714 1.318 1.711 1.708 2.074 2.069 2.064 2.060 23 24 0.857 2.172 3.091 3.467 3.745 24 25 0.684 0.856 2.167 3.078 3.450 3.725 25 0.856 0.855 0.855 0.854 0.854 1.058 1.057 1.056 1.313 1.055 1.055 1.706 1.703 1.701 1.699 1.697 3.707 3.690 3.674 3.659 3.646 2.779 3.435 3.421 3.408 3.396 3.385 26 1.315 1.314 2.056 2.052 2.048 2.045 2.042 2.162 2.158 2.154 2.150 2.479 2.473 2,467 2.462 2.457 3.067 3.057 3.047 3.038 3.030 26 27 28 29 30 0.684 0.684 0,683 0.683 0.683 2.771 27 1.311 1.310 2.763 2.756 2.750 28 29 2.147 30 31 32 33 0.682 0.682 0.682 0.682 0,682 0.853 0.853 0.853 1.309 1.309 1.308 1.307 1.306 2.040 2.037 2.035 2.032 2.030 2.144 2.141 2.138 2.136 2.133 3.633 3.622 3.611 3,601 3.591 1.054 1.696 2.453 2.449 2.445 2.441 2.438 2.744 1.054 1.053 1.052 1.052 1.694 1.692 1.691 1.690 2.738 2.733 2.728 2.724 3.022 3.015 3.008 3,002 2.996 3.375 3.365 3.356 3.348 3.340 31 32 33 34 35 0.852 34 0,852 35 3.582 3.574 36 0.852 0.851 0.851 0.851 0.851 1.052 1.051 1.306 1.305 1.304 1.304 1.303 1.688 2.028 2.026 2.024 2.023 2.021 2.131 2.129 2.127 2.125 2.123 2.434 2.719 2.715 2.990 2.985 2.980 2.976 2.971 3.333 36 37 0.681 3.326 3.319 3.313 3.307 37 0.681 1.687 2.431 38 39 40 0.681 0.681 0.681 1.051 1.050 1.050 1.686 1.685 1.684 2.429 2.426 2.423 2.712 2.708 2.704 3.566 3.558 3.551 38 39 40 50 60 70 0.679 0.679 0.678 0.847 0.678 0.677 1.299 1.296 1.294 1.292 1.291 1.676 1.671 1.667 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 3.496 3.460 3.435 3.416 3.402 0,849 1.047 1.045 1.044 1.043 1.042 2.009 2.000 1.994 1.990 1.987 2.109 2.099 2.093 2.088 2.084 2.403 2,390 2.381 2.374 2.368 50 0.848 60 70 80 0.846 1.664 80 90 0.846 1.662 3.183 90 0.677 0,675 0.674 0.845 0.842 0.842 1.042 1.037 1.036 1.290 1.282 1.282 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 3.390 100 1000 1.984 1.962 1.960 3.174 3.098 3.090 100 3.300 1000 3.291 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
A college entrance exam company determined that a score of 25 on the mathematics portion of the exam suggests that a student is ready for college-level mathematics. To achieve this goal, the
company recommends that students take a core curriculum of math courses in high school. Suppose a random sample of 150 students who completed this core set of courses results in a mean
math score of 25.6 on the college entrance exam with a standard deviation of 3.3. Do these results suggest that students who complete the core curriculum are ready for college-level mathematics?
That is, are they scoring above 25 on the mathematics portion of the exam? Complete parts a) through d) below.
Click the icon to view the table of critical t-values.
(a) State the appropriate null and alternative hypotheses. Fill in the correct answers below.
The appropriate null and alternative hypotheses are Ho:
versus H,:
(Type integers or decimals. Do not round.)
(b) Verify that the requirements to perform the test using the t-distribution are satisfied. Select all that apply.
A. The sample size is larger than 30.
B. A boxplot of the sample data shows no outliers.
C. The students' test scores were independent of one another.
D. The students were randomly sampled.
E. The sample data come from a population that is approximately normal.
F. None of the requirements are satisfied.
Transcribed Image Text:A college entrance exam company determined that a score of 25 on the mathematics portion of the exam suggests that a student is ready for college-level mathematics. To achieve this goal, the company recommends that students take a core curriculum of math courses in high school. Suppose a random sample of 150 students who completed this core set of courses results in a mean math score of 25.6 on the college entrance exam with a standard deviation of 3.3. Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 25 on the mathematics portion of the exam? Complete parts a) through d) below. Click the icon to view the table of critical t-values. (a) State the appropriate null and alternative hypotheses. Fill in the correct answers below. The appropriate null and alternative hypotheses are Ho: versus H,: (Type integers or decimals. Do not round.) (b) Verify that the requirements to perform the test using the t-distribution are satisfied. Select all that apply. A. The sample size is larger than 30. B. A boxplot of the sample data shows no outliers. C. The students' test scores were independent of one another. D. The students were randomly sampled. E. The sample data come from a population that is approximately normal. F. None of the requirements are satisfied.
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