To test Ho = 43 versus H₁ μ#43, a simple random sample of size n = 35 is obtained. Complete parts (a) through (c) below. Click the icon to view the table of critical t-values. (a) Does the population have to be normally distributed to test this hypothesis by using t-distribution methods? Why? O A. Yes the population must be normally distributed in all cases in order to perform a hypothesis test OB. No-there are no constraints in order to perform a hypothesis test. OC. Yes-since the sample size is at not least 50, the underlying population does not need to be normally distributed. O D. No-since the sample size is at least 30, the underlying population does not need to be normally distributed GIB

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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Solve A to C

To test Ho: μ = 43 versus H₁ μ#43, a simple random sample of size n = 35 is obtained. Complete parts (a) through (c) below
Click the icon to view the table of critical t-values.
(a) Does the population have to be normally distributed to test this hypothesis by using t-distribution methods? Why?
OA. Yes the population must be normally distributed in all cases in order to perform a hypothesis test
OB. No-there are no constraints in order to perform a hypothesis test.
OC. Yes since the sample size is at not least 50, the underlying population does not need to be normally distributed
OD. No-since the sample size is at least 30, the underlying population does not need to be normally distributed
(b) Given sample evidence, x= 46.4 and s= 7.9, construct a 99% confidence interval to test the hypothesis.
The lower bound is
The upper bound is
(Round to three decimal places as needed.)
(c) Because the value lies
(Type an integer or decimal. Do not round.)
the confidence interval, we
the null hypothesis
EODE
Transcribed Image Text:To test Ho: μ = 43 versus H₁ μ#43, a simple random sample of size n = 35 is obtained. Complete parts (a) through (c) below Click the icon to view the table of critical t-values. (a) Does the population have to be normally distributed to test this hypothesis by using t-distribution methods? Why? OA. Yes the population must be normally distributed in all cases in order to perform a hypothesis test OB. No-there are no constraints in order to perform a hypothesis test. OC. Yes since the sample size is at not least 50, the underlying population does not need to be normally distributed OD. No-since the sample size is at least 30, the underlying population does not need to be normally distributed (b) Given sample evidence, x= 46.4 and s= 7.9, construct a 99% confidence interval to test the hypothesis. The lower bound is The upper bound is (Round to three decimal places as needed.) (c) Because the value lies (Type an integer or decimal. Do not round.) the confidence interval, we the null hypothesis EODE
Table of Critical t-Values
df
1234 I
5
8
10
11
12
13
14
15
0.25
Area in
right tail
0.718
0.711
0.706
0.703
0.700
0.20
1.000 1.376
1.061
0.816
0.765 0.978
0.741
0.941
0.727
0.920
0.906
0.896
0.889
0.883
0.879
0.15
0.10
1.963
3.078
1.386 1.886
1.250
1.190
1.156
0.697 0.876
0.695
0.873
1.083
(.694
0.870
1.079
0.692
0.868 1.076
0.691
0.866
1.074
0.690
0.865
1.071
0.05
-Distribution
Area in Right Tail
0.025
1.638 2.353
1.533
2.132
2.015
1.476
1.134 1.440
1.943
1.119
1.415
1895
1.108
1860
1.397
1.100
1.383
1.833
1093
1.372 1.812
1.345
1.341
1.337
12.706
6.314
2.920
1088 1.363
1.796
1.356
1.782
1.771
1.350
1.761
1.753
1.746
4.303
3.182
2.776
2.571
2.365
2.306
2.262
2.228
2201
2.179
2.160
2.145
2.131
2.120
0.02
2612
15.894
31.821
6.965
4.849
4.541
3.482
2.999
2.757
LIST
2 449
2.398
2.359
0.01
12.328
2.303
0282
0.005
3.143
2.998
2.896
2.821
2.764
63.657
9.925
5.841
4.604
3.747
3.365
4.032
3.707
3409
3.355
3.250
3.169
2.718
3.106
2.681
3.055
2.650 3.012
2.264
2.624
2.249
2.602
2.583
2.335
2.977
2.947
2.921
27
0.0025
127.321
14.089
7.453
5.598
4.773
4317
4.029
3.833
3.690
3.581
3.497
3.428
3.372
3.326
3.286
3.252
0.001
318.309
22.327
10.215
7.173
5.893
5.208
4.785
4.501
4.297
4.144
4.025
3.930
3.852
3.787
3.733
3.686
0.0005
636.619
31.599
12.924
8.610
6.869
5.959
5.408
5.041
4.781
4.587
4.437
4.318
4.221
4.140
4.073
4.015
JP
12345 crxag
7
10
11
12
13
15
16
Transcribed Image Text:Table of Critical t-Values df 1234 I 5 8 10 11 12 13 14 15 0.25 Area in right tail 0.718 0.711 0.706 0.703 0.700 0.20 1.000 1.376 1.061 0.816 0.765 0.978 0.741 0.941 0.727 0.920 0.906 0.896 0.889 0.883 0.879 0.15 0.10 1.963 3.078 1.386 1.886 1.250 1.190 1.156 0.697 0.876 0.695 0.873 1.083 (.694 0.870 1.079 0.692 0.868 1.076 0.691 0.866 1.074 0.690 0.865 1.071 0.05 -Distribution Area in Right Tail 0.025 1.638 2.353 1.533 2.132 2.015 1.476 1.134 1.440 1.943 1.119 1.415 1895 1.108 1860 1.397 1.100 1.383 1.833 1093 1.372 1.812 1.345 1.341 1.337 12.706 6.314 2.920 1088 1.363 1.796 1.356 1.782 1.771 1.350 1.761 1.753 1.746 4.303 3.182 2.776 2.571 2.365 2.306 2.262 2.228 2201 2.179 2.160 2.145 2.131 2.120 0.02 2612 15.894 31.821 6.965 4.849 4.541 3.482 2.999 2.757 LIST 2 449 2.398 2.359 0.01 12.328 2.303 0282 0.005 3.143 2.998 2.896 2.821 2.764 63.657 9.925 5.841 4.604 3.747 3.365 4.032 3.707 3409 3.355 3.250 3.169 2.718 3.106 2.681 3.055 2.650 3.012 2.264 2.624 2.249 2.602 2.583 2.335 2.977 2.947 2.921 27 0.0025 127.321 14.089 7.453 5.598 4.773 4317 4.029 3.833 3.690 3.581 3.497 3.428 3.372 3.326 3.286 3.252 0.001 318.309 22.327 10.215 7.173 5.893 5.208 4.785 4.501 4.297 4.144 4.025 3.930 3.852 3.787 3.733 3.686 0.0005 636.619 31.599 12.924 8.610 6.869 5.959 5.408 5.041 4.781 4.587 4.437 4.318 4.221 4.140 4.073 4.015 JP 12345 crxag 7 10 11 12 13 15 16
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