score of 21.7 on the college entrance exam with a standard deviation of 3.8. Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 21 on the mathematics portion of the exam? Complete parts a) through d) below Click the icon to view the table of critical t-values. (a) State the appropriate null and alternative hypotheses. Fill in the correct answers below The appropriate null and alternative hypotheses are Ho H = 21 versus H₁ (Type integers or decimals. Do not round.) (b) Verify that the requirements to perform the test using the t-distribution are satisfied. Select all that apply. A. The sample data come from a population that is approximately normal B. A boxplot of the sample data shows no outliers. ✔ The students' test scores were independent of one another. D. The students were randomly sampled VE. The sample size is larger than 30 F. None of the requirements are satisfied. μ > 21 (c) Use the P-value approach at the a= 0.10 level of significance to test the hypotheses in part (a). Identify the test statistic. to=(Round to two decimal places as needed.)

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Solve for C

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
A college entrance exam company determined that a score of 21 on the mathematics portion of the exam suggests that a student is ready for college-level mathematics. To achieve this goal, the
company recommends that students take a core curriculum of math courses in high school. Suppose a random sample of 150 students who completed this core set of courses results in a mean math
score of 21.7 on the college entrance exam with a standard deviation of 3.8. Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is,
are they scoring above 21 on the mathematics portion of the exam? Complete parts a) through d) below
Click the icon to view the table of critical t-values.
(a) State the appropriate null and alternative hypotheses. Fill in the correct answers below
21 versus H₁ H
The appropriate null and alternative hypotheses are Ho μ
(Type integers or decimals. Do not round.)
(b) Verify that the requirements to perform the test using the t-distribution are satisfied. Select all that apply.
A. The sample data come from a population that is approximately normal
B. A boxplot of the sample data shows no outliers.
LC. The students' test scores were independent of one another.
D. The students were randomly sampled.
E. The sample size is larger than 30
F. None of the requirements are satisfied.
2.1
21
(c) Use the P-value approach at the a=0.10 level of significance to test the hypotheses in part (a).
Identify the test statistic.
to = (Round to two decimal places as needed.)
Transcribed Image Text:A college entrance exam company determined that a score of 21 on the mathematics portion of the exam suggests that a student is ready for college-level mathematics. To achieve this goal, the company recommends that students take a core curriculum of math courses in high school. Suppose a random sample of 150 students who completed this core set of courses results in a mean math score of 21.7 on the college entrance exam with a standard deviation of 3.8. Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 21 on the mathematics portion of the exam? Complete parts a) through d) below Click the icon to view the table of critical t-values. (a) State the appropriate null and alternative hypotheses. Fill in the correct answers below 21 versus H₁ H The appropriate null and alternative hypotheses are Ho μ (Type integers or decimals. Do not round.) (b) Verify that the requirements to perform the test using the t-distribution are satisfied. Select all that apply. A. The sample data come from a population that is approximately normal B. A boxplot of the sample data shows no outliers. LC. The students' test scores were independent of one another. D. The students were randomly sampled. E. The sample size is larger than 30 F. None of the requirements are satisfied. 2.1 21 (c) Use the P-value approach at the a=0.10 level of significance to test the hypotheses in part (a). Identify the test statistic. to = (Round to two decimal places as needed.)
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