To test Ho: u = 100 versus H,:µ# 100, a simple random sample size of n =22 is obtained from a population that is known to be normally distributed. Answer parts (a)-(d). E Click here to view the t-Distribution Area in Right Tail. (a) If x = 105.8 and s=8.9, compute the test statistic. t3= (Round to three decimal places as needed.) (b) If the researcher decides to test this hypothesis at the a = 0.01 level of significance, determine the critical values. The critical values are. (Use a comma to separate answers as needed. Round to three decimal places as needed.) (c) Draw a t-distribution that depicts the critical region(s). Which of the following graphs shows the critical region(s) in the t-distribution? O A. OB. Oc. Q (d) Will the researcher reject the null hypothesis? O A. There is not sufficient evidence for the researcher to reject the null hypothesis since the test statistic is between the critical values. O B. The researcher will reject the null hypothesis since the test statistic is between the critical values. OC. The researcher will reject the null hypothesis since the test statistic is not between the critical values. O D There is not sufficient evidence for the researcher to reiect the pull hynothesis since the test statistic is not between the critical values
To test Ho: u = 100 versus H,:µ# 100, a simple random sample size of n =22 is obtained from a population that is known to be normally distributed. Answer parts (a)-(d). E Click here to view the t-Distribution Area in Right Tail. (a) If x = 105.8 and s=8.9, compute the test statistic. t3= (Round to three decimal places as needed.) (b) If the researcher decides to test this hypothesis at the a = 0.01 level of significance, determine the critical values. The critical values are. (Use a comma to separate answers as needed. Round to three decimal places as needed.) (c) Draw a t-distribution that depicts the critical region(s). Which of the following graphs shows the critical region(s) in the t-distribution? O A. OB. Oc. Q (d) Will the researcher reject the null hypothesis? O A. There is not sufficient evidence for the researcher to reject the null hypothesis since the test statistic is between the critical values. O B. The researcher will reject the null hypothesis since the test statistic is between the critical values. OC. The researcher will reject the null hypothesis since the test statistic is not between the critical values. O D There is not sufficient evidence for the researcher to reiect the pull hynothesis since the test statistic is not between the critical values
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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Transcribed Image Text:To test Ho: µ = 100 versus H,: µ# 100, a simple random sample size ofn=22 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 = 105.8 and s = 8.9, compute the test statistic.
t =
(Round to three decimal places as needed.)
(b) If the researcher decides to test this hypothesis at the a = 0.01 level of significance, determine the critical values.
The critical values are
(Use a comma to separate answers as needed. Round to three decimal places as needed.)
(c) Draw a t-distribution that depicts the critical region(s). Which of the following graphs shows the critical region(s) in the t-distribution?
A.
O B.
OC.
(d) Will the researcher reject the null hypothesis?
A. There is not sufficient evidence for the researcher to reject the null hypothesis since the test statistic is between the critical values.
B. The researcher will reject the null hypothesis since the test statistic is between the critical values.
C. The researcher will reject the null hypothesis since the test statistic is not between the critical values.
D. There is not sufficient evidence for the researcher to reiect the null hvpothesis since the test statistic is not between the critical values.
Transcribed Image Text:t-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
1.963
1.386
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
318.309
22.327
10.215
7.173
5.893
636.619
31.599
1.000
1.376
1.061
0.978
0.941
1
3.078
6.314
12.706
127.321
1
0.816
3
0.765
4
0.741
0.727
1.886
1.638
1.533
4.303
3.182
2.776
2.571
14.089
2.920
2.353
2.132
2
1.250
1.190
1.156
7.453
5.598
4.773
12.924
8.610
3
4
0.920
1.476
2.015
4.032
6.869
1.134
1.119
1.108
1.100
1.093
2.447
2.365
2.306
2.262
2.228
3.707
3.499
3.355
5.208
4.785
4.501
6.
0.718
0.711
7
8
0.706
1.440
1.415
1.397
1.943
2.612
3.143
5.959
5.408
5.041
4.781
0.906
4.317
6.
0.896
0.889
1.895
1.860
2.517
2.449
2.398
2.998
2.896
2.821
2.764
4.029
3.833
7
0.703
0.700
0.883
0.879
1.383
1.372
4.297
4.144
9
1.833
3.250
3.690
10
1.812
2.359
3.169
3.581
4.587
10
0.697
0.695
0.694
0.692
0.876
0.873
0.870
1.363
1.356
1.350
1.345
1.341
1.796
2.718
2.681
2.650
2.624
3.106
3.055
3.012
2.977
2.947
3.497
3.428
3.372
3.326
4.025
4.437
11
12
13
1.088
2.201
2.328
11
1.083
1.079
1.076
1.074
1.782
1.771
1.761
2.179
2.160
2.145
2.131
2.303
2.282
2.264
2.249
3.930
3.852
4.318
4.221
12
13
3.787
3.733
14
0.868
4.140
14
15
0.691
0.866
1.753
2.602
3.286
4.073
15
0.690
0.689
1.071
1.069
2.583
2.567
2.552
2.539
2.921
2.898
2.878
2.861
2.845
3.252
3.222
0.865
0.863
0.862
0.861
1.337
1.333
2.120
2.110
3.686
3.646
3.610
3.579
3.552
4.015
3.965
3.922
16
17
1.746
1.740
1.734
1.729
1.725
2.235
2.224
2.214
16
17
1.067
1.066
1.064
1.330
1.328
1.325
18
0.688
2.101
3.197
3.174
3.153
18
2.093
2.205
2.197
19
0.688
3.883
19
20
0.687
0.860
2.086
2.528
3.850
20
0.859
1.063
1.323
2.080
2.189
2.518
2. 500
2.831
3.135
3.527
2 505
3.819
3 702
21
0.686
1.721
21
1.061
1221
1717
2074
2 102
2 010
2110.
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