To test Ho: H=60 versus H₁ µ<60, a random sample of size n=23 is obtained from a population that is known to be normally distributed. Complete parts (a) through (d) below. Click here to view the t-Distribution Area in Right Tail GETTER (a) If x=57.9 and s= 10.2, compute the test statistic to=987 (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)
To test Ho: H=60 versus H₁ µ<60, a random sample of size n=23 is obtained from a population that is known to be normally distributed. Complete parts (a) through (d) below. Click here to view the t-Distribution Area in Right Tail GETTER (a) If x=57.9 and s= 10.2, compute the test statistic to=987 (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)
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: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
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9
11
12
13 0.694
14
15
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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
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Transcribed Image Text:To test Hoμ= 60 versus H₁ μ<60, a random sample of size n=23 is obtained from a population that is known to be normally distributed. Complete parts (a) through (d) below.
Click here to view the t-Distribution Area in Right Tail
(a) If x= 57.9 and s= 10.2, compute the test statistic.
to=987 (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.)
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