To test Ho = 20 versus H₁ μ<20, a simple random sample of size n = 20 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= 18.1 and s=4.2, compute the test statistic. t= (Round to two decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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Question
To test Ho μ = 20 versus H₁: μ<20, a simple random sample of size n = 20 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= 18.1 and s=4.2, compute the test statistic.
t= (Round to two decimal places as needed.)
Transcribed Image Text:To test Ho μ = 20 versus H₁: μ<20, a simple random sample of size n = 20 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= 18.1 and s=4.2, compute the test statistic. t= (Round to two decimal places as needed.)
t-Distribution Area in Right Tail
0
0.25
0.20 0.15
1.000 1.376 1.963 3.078
2
0.816
1.061 1.386
1.250
3
0.765
0.978
4 0.741
0.941
1.190
5
0.727
1.156
6
0.920
0.718 0.906 1.134 1.440 1.943
0.896 1.119
0.711
1.415 1.895
0.706
0.889
1.108
1.397
1.860
1.100
1.383
1.833
0.879 1.093
1.372 1.812
0.703 0.883
0.700
0.697 0.876
0.695 0.873
0.870
0.692 0.868
0.691
0.866
df
8
9
11
12
13 0.694
14
15
16
17
18
19
20
21
22
0.690 0.865
0.689 0.863
0.688 0.862
0.688 0.861
0.687 0.860
0.686 0.859
0.686
0.858
1.088 1.363 1.796
1.083
1.356
1.782
1.079 1.350
1.771
1.076 1.345
1.761
1.074
1.341
1.753
0.10 0.05
0.025
6.314 12.706
1.886 2.920 - 4.303
3.182
3.482
1.638 2.353
2.132
1.533
2.776 2.999
1.476 2015
2571
2.757
1,071 1.337 1.746
1.333 1.740
1.069
1.067
1.330
1.734
1.066
1.328
1.729
1.064
1.325
1.725
1.063
1.061
1-Distribution
Area in Right Tail
1.323 1.721
1.321
1.717
2.447
2.365
2.306
2.262
2.228
2.201
2.179
2.160
2.145
2.131
2,120
2.110
2.101
2.093
2.086
2.080
2.074
0.02
15.894 31.821
4.849
6.965
4.541
3.747
3.365
2.612
3.143
2.517 2.998
2.449
2.896
2.398 2.821
2.359
2.764
2.328
2.718
2.303 2.681
2.282
2.650
2.264 2.624
2.249
2.602
2.189
2.183
2012
0.005
63.657
9.925
2518
2.508
5.841
4.604
4.032
2.235
2.583
2.921
2.224 2.567 2.898
2.214
2.552 2.878
2.205
2.539
2.861
2.197
2528
2.845
3.707
3.499
3.355
3.250
3.169
3.106
3.055
3.012
2.977
2.947
2.831
2.819
0.0025
127.321
14.089
7.453
5.598
4.773
4.317
4.029
3.833
3.690
3.581
3.497
3.428
3.372
3.326
3.286
3.252
3.222
3.197
3.174
3.153
3.135
3.119
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
3.646
3.610
3.579
3.552
3.527
3.505
0.0005
636.619
31.599
12.924
8.610
6.869
5.959
5.408
5.041
4.781
4.587
4.015
3.965
3.922
3,883
3.850
df
3.819
3.792
12345 CDXARMARA BAADA
4.437
4.318
4.221
4.140
4.073 15
8
9
6
10
11
12
13
14
16
17
18
19
20
21
22
I
1
Transcribed Image Text:t-Distribution Area in Right Tail 0 0.25 0.20 0.15 1.000 1.376 1.963 3.078 2 0.816 1.061 1.386 1.250 3 0.765 0.978 4 0.741 0.941 1.190 5 0.727 1.156 6 0.920 0.718 0.906 1.134 1.440 1.943 0.896 1.119 0.711 1.415 1.895 0.706 0.889 1.108 1.397 1.860 1.100 1.383 1.833 0.879 1.093 1.372 1.812 0.703 0.883 0.700 0.697 0.876 0.695 0.873 0.870 0.692 0.868 0.691 0.866 df 8 9 11 12 13 0.694 14 15 16 17 18 19 20 21 22 0.690 0.865 0.689 0.863 0.688 0.862 0.688 0.861 0.687 0.860 0.686 0.859 0.686 0.858 1.088 1.363 1.796 1.083 1.356 1.782 1.079 1.350 1.771 1.076 1.345 1.761 1.074 1.341 1.753 0.10 0.05 0.025 6.314 12.706 1.886 2.920 - 4.303 3.182 3.482 1.638 2.353 2.132 1.533 2.776 2.999 1.476 2015 2571 2.757 1,071 1.337 1.746 1.333 1.740 1.069 1.067 1.330 1.734 1.066 1.328 1.729 1.064 1.325 1.725 1.063 1.061 1-Distribution Area in Right Tail 1.323 1.721 1.321 1.717 2.447 2.365 2.306 2.262 2.228 2.201 2.179 2.160 2.145 2.131 2,120 2.110 2.101 2.093 2.086 2.080 2.074 0.02 15.894 31.821 4.849 6.965 4.541 3.747 3.365 2.612 3.143 2.517 2.998 2.449 2.896 2.398 2.821 2.359 2.764 2.328 2.718 2.303 2.681 2.282 2.650 2.264 2.624 2.249 2.602 2.189 2.183 2012 0.005 63.657 9.925 2518 2.508 5.841 4.604 4.032 2.235 2.583 2.921 2.224 2.567 2.898 2.214 2.552 2.878 2.205 2.539 2.861 2.197 2528 2.845 3.707 3.499 3.355 3.250 3.169 3.106 3.055 3.012 2.977 2.947 2.831 2.819 0.0025 127.321 14.089 7.453 5.598 4.773 4.317 4.029 3.833 3.690 3.581 3.497 3.428 3.372 3.326 3.286 3.252 3.222 3.197 3.174 3.153 3.135 3.119 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 3.646 3.610 3.579 3.552 3.527 3.505 0.0005 636.619 31.599 12.924 8.610 6.869 5.959 5.408 5.041 4.781 4.587 4.015 3.965 3.922 3,883 3.850 df 3.819 3.792 12345 CDXARMARA BAADA 4.437 4.318 4.221 4.140 4.073 15 8 9 6 10 11 12 13 14 16 17 18 19 20 21 22 I 1
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