A college entrance exam company determined that a score of 24 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 24.6 on the college entrance exam with a standard deviation of 3.3. Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 24 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 versus H₁ The appropriate null and alternative hypotheses are Hol ▼ ▼ (Type integers or decimals. Do not round) ▼ ▼

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A college entrance exam company determined that a score of 24 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 24.6 on the college entrance exam with a standard deviation of 3.3. Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is,
are they scoring above 24 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
versus H₁
(Type integers or decimals. Do not round.)
255
Transcribed Image Text:A college entrance exam company determined that a score of 24 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 24.6 on the college entrance exam with a standard deviation of 3.3. Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 24 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 versus H₁ (Type integers or decimals. Do not round.) 255
Table of Critical t-Values
^
12345
7
8
9
5 0.727
10
-Area in
right tail
0.25 0.20 0.15
1.000 1.376
1.963 3.078
0.816 1.061 1.386 1.886
0.76.5 0.978 1250 1.638
H
0.741 0.941
0.920
11
0.697
12 0.695
0.694
0.870
14
0.692
(868
15
0.691 0.866
16 0.690 0.865
1.156
1.088
1.083
1.079
0.10
0.718 -0.906
0.711
0.896 1.119 1.415
01.706 0.889 1.108 1.397
01.703 0.883
1.100
1.383
0.700 0.879
1.372 1.812
0.876
1074
1.071
7-Distribution
Area in Right Tail
0.05
0.025 0.02
6.314 12.706 15.894 31.821
4.303 4.849 6.965
3.482 4.541
2.999
3.747
2.757 3.365
2612
2.920
2.353
1.533 2.132
1.476 2015
1.895
1.363
1.796
1.356 1.782
1.350 1.771
1.345
1.761
1.341
1.753
1.746
2.776
2571
2.306
2.262
2.228
2.201
2.179
2.160
2.145
2.131
2.120
2449
2.398
2.359
2.328
0.01
0.005
2.896
2.821
2.764
4.604
4.032
3-707
2.998 3.499
3.355
3.250
3.169
63.657 127.321 318.309
9.925
22.327
10.215
7.173
5.893
0.0025
2.718 3.106
2.681
3.055
2.650
2.264 2.624
2.977
2.249
2,602
2947
2.583 2.921
14.089
7.453
5.598
4.773
4.317
4.029
3.833
3.690
3.581
3.497
3.428
0.001
3326
3.286
3.252
5.208
4.785
4501
4.297
4.025
3.930
3.852
3.787
3.733
0.0005
636.619
31.599
12.924
8.610
6.869
5.959
5.408
4.781
4.587
4.437
4.221
4140
4.073
4.015
df
-23
1
4
5
7
9
12
13
14
15
16
Transcribed Image Text:Table of Critical t-Values ^ 12345 7 8 9 5 0.727 10 -Area in right tail 0.25 0.20 0.15 1.000 1.376 1.963 3.078 0.816 1.061 1.386 1.886 0.76.5 0.978 1250 1.638 H 0.741 0.941 0.920 11 0.697 12 0.695 0.694 0.870 14 0.692 (868 15 0.691 0.866 16 0.690 0.865 1.156 1.088 1.083 1.079 0.10 0.718 -0.906 0.711 0.896 1.119 1.415 01.706 0.889 1.108 1.397 01.703 0.883 1.100 1.383 0.700 0.879 1.372 1.812 0.876 1074 1.071 7-Distribution Area in Right Tail 0.05 0.025 0.02 6.314 12.706 15.894 31.821 4.303 4.849 6.965 3.482 4.541 2.999 3.747 2.757 3.365 2612 2.920 2.353 1.533 2.132 1.476 2015 1.895 1.363 1.796 1.356 1.782 1.350 1.771 1.345 1.761 1.341 1.753 1.746 2.776 2571 2.306 2.262 2.228 2.201 2.179 2.160 2.145 2.131 2.120 2449 2.398 2.359 2.328 0.01 0.005 2.896 2.821 2.764 4.604 4.032 3-707 2.998 3.499 3.355 3.250 3.169 63.657 127.321 318.309 9.925 22.327 10.215 7.173 5.893 0.0025 2.718 3.106 2.681 3.055 2.650 2.264 2.624 2.977 2.249 2,602 2947 2.583 2.921 14.089 7.453 5.598 4.773 4.317 4.029 3.833 3.690 3.581 3.497 3.428 0.001 3326 3.286 3.252 5.208 4.785 4501 4.297 4.025 3.930 3.852 3.787 3.733 0.0005 636.619 31.599 12.924 8.610 6.869 5.959 5.408 4.781 4.587 4.437 4.221 4140 4.073 4.015 df -23 1 4 5 7 9 12 13 14 15 16
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