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 H₂ H 24 versus H, >24 (Type integers or decimals. Do not round.). (b) Verify that the requirements to perform the test using the 1-distribution are satisfied Select all that apply A. The sample size is larger than 30 B. The sample data come from a population that is approximately normal. C. A boxplot of the sample data shows no outliers. D. The students' test scores were independent of one another E. The students were randomly sampled F. None of the requirements are satisfied.
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 H₂ H 24 versus H, >24 (Type integers or decimals. Do not round.). (b) Verify that the requirements to perform the test using the 1-distribution are satisfied Select all that apply A. The sample size is larger than 30 B. The sample data come from a population that is approximately normal. C. A boxplot of the sample data shows no outliers. D. The students' test scores were independent of one another E. The students were randomly sampled F. None of the requirements are satisfied.
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: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.
24 versus H₁ P
The appropriate null and alternative hypotheses are Ho P
(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 size is larger than 30.
B. The sample data come from a population that is approximately normal.
C. A boxplot of the sample data shows no outliers.
D. The students' test scores were independent of one another.
E. The students were randomly sampled
F. None of the requirements are satisfied.
24
K
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
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9
12
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16
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