E Click here to view the t-Distribution Area in Right Tail. (a) If x = 37.1 and s = 10.3, compute the test statistic. to = - 1.379 (Round to three decimal places as needed.) (b) If the researcher decides to test this hypothesis at the a = 0.05 level of significance, determine the critical value(s). Although technology or a t-distribution table can be used to find the critical value, in this problem use the t-distribution table given. Critical Value:O (Round to three decimal places. Use a comma to separate answers as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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I need help with part b using this table

 

To test Ho: µ= 40 versus H,: µ< 40, a random sample of size n= 24 is obtained from a population that is known to be normally distributed. Complete parts (a) through (d) below.
E Click here to view the t-Distribution Area in Right Tail.
(a) If x = 37.1 ands= 10.3, compute the test statistic.
tn = - 1.379 (Round to three decimal places as needed.)
(b) If the researcher decides to test this hypothesis at the a= 0.05 level of significance, determine the critical value(s). Although technology or a t-distribution table can be used to find the critical value, in this problem use the
t-distribution table given.
Critical Value:
(Round to three decimal places. Use a comma to separate answers as needed.)
Transcribed Image Text:To test Ho: µ= 40 versus H,: µ< 40, a random sample of size n= 24 is obtained from a population that is known to be normally distributed. Complete parts (a) through (d) below. E Click here to view the t-Distribution Area in Right Tail. (a) If x = 37.1 ands= 10.3, compute the test statistic. tn = - 1.379 (Round to three decimal places as needed.) (b) If the researcher decides to test this hypothesis at the a= 0.05 level of significance, determine the critical value(s). Although technology or a t-distribution table can be used to find the critical value, in this problem use the t-distribution table given. Critical Value: (Round to three decimal places. Use a comma to separate answers as needed.)
t-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
12.706
4.303
3.182
2.776
1.000
1.376
1.963
3.078
6.314
15.894
31.821
63.657
127.321
318.309
636.619
2
0.816
1.061
1.386
1.886
2.920
4.849
6.965
9.925
14.089
22.327
31.599
7.453
5.598
3
0.765
0.741
0.978
0.941
1.250
1.190
1.638
1.533
2.353
2.132
3.482
2.999
4.541
3.747
5.841
4.604
10.215
12.924
8.610
7.173
5.893
0.727
0.920
1.156
1.476
2.015
2.571
2.757
3.365
4.032
4.773
6.869
2.447
3.143
2.998
2.896
6
0.718
0.906
1.134
1.440
1.943
2.612
3.707
4.317
5.208
5.959
0.711
0.706
0.896
0.889
1.119
1.108
1.415
1.397
1.895
1.860
2.365
2.306
2.517
2.449
3.499
3.355
4.029
3.833
4.785
5.408
5.041
8
4.501
0.703
0.883
1.100
1.383
1.833
2.262
2.398
2.821
3.250
3.690
4.297
4.781
10
0.700
0.879
1.093
1.372
1.812
2.228
2.359
2.764
3.169
3.581
4.144
4.587
0.697
0.876
1.088
1.083
1.079
4.025
3.930
3.852
3.787
3.733
11
1.363
1.796
2.201
2.328
2.718
3.106
3.497
4.437
12
13
1.356
1.350
1.782
1.771
2.303
2.282
0.695
0.873
0.870
0.868
2.179
2.160
2.681
2.650
3.055
3.012
3.428
3.372
4.318
4.221
0.694
14
0.692
1.076
1.345
1.761
2.145
2.264
2.624
2.977
3.326
4.140
15
0.691
0.866
1.074
1.341
1.753
2.131
2.249
2.602
2.947
3.286
4.073
16
0.690
0.865
1.071
1.337
1.746
2.120
2.235
2.583
2.921
3.252
3.686
4.015
1414
2004
2000
Transcribed Image Text:t-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 12.706 4.303 3.182 2.776 1.000 1.376 1.963 3.078 6.314 15.894 31.821 63.657 127.321 318.309 636.619 2 0.816 1.061 1.386 1.886 2.920 4.849 6.965 9.925 14.089 22.327 31.599 7.453 5.598 3 0.765 0.741 0.978 0.941 1.250 1.190 1.638 1.533 2.353 2.132 3.482 2.999 4.541 3.747 5.841 4.604 10.215 12.924 8.610 7.173 5.893 0.727 0.920 1.156 1.476 2.015 2.571 2.757 3.365 4.032 4.773 6.869 2.447 3.143 2.998 2.896 6 0.718 0.906 1.134 1.440 1.943 2.612 3.707 4.317 5.208 5.959 0.711 0.706 0.896 0.889 1.119 1.108 1.415 1.397 1.895 1.860 2.365 2.306 2.517 2.449 3.499 3.355 4.029 3.833 4.785 5.408 5.041 8 4.501 0.703 0.883 1.100 1.383 1.833 2.262 2.398 2.821 3.250 3.690 4.297 4.781 10 0.700 0.879 1.093 1.372 1.812 2.228 2.359 2.764 3.169 3.581 4.144 4.587 0.697 0.876 1.088 1.083 1.079 4.025 3.930 3.852 3.787 3.733 11 1.363 1.796 2.201 2.328 2.718 3.106 3.497 4.437 12 13 1.356 1.350 1.782 1.771 2.303 2.282 0.695 0.873 0.870 0.868 2.179 2.160 2.681 2.650 3.055 3.012 3.428 3.372 4.318 4.221 0.694 14 0.692 1.076 1.345 1.761 2.145 2.264 2.624 2.977 3.326 4.140 15 0.691 0.866 1.074 1.341 1.753 2.131 2.249 2.602 2.947 3.286 4.073 16 0.690 0.865 1.071 1.337 1.746 2.120 2.235 2.583 2.921 3.252 3.686 4.015 1414 2004 2000
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