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 200 students who completed this core set of courses results in a mean math score of 24.4 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. a) State the appropriate null and alternative hypotheses. Fill in the correct answers below. The appropriate null and alternative hypotheses are Ho: = 24 versus H,: > 24. b) Verify that the requirements to perform the test using the t-distribution are satisfied. Check all that apply. A. The students' test scores were independent of one another. B. The students were randomly sampled. C. The sample data come from a population that is approximately normal. D. A boxplot of the sample data shows no outliers. E. The sample size is larger than 30. F. None of the requirements are satisfied. 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.)
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 200 students who completed this core set of courses results in a mean math score of 24.4 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. a) State the appropriate null and alternative hypotheses. Fill in the correct answers below. The appropriate null and alternative hypotheses are Ho: = 24 versus H,: > 24. b) Verify that the requirements to perform the test using the t-distribution are satisfied. Check all that apply. A. The students' test scores were independent of one another. B. The students were randomly sampled. C. The sample data come from a population that is approximately normal. D. A boxplot of the sample data shows no outliers. E. The sample size is larger than 30. F. None of the requirements are satisfied. 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.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 1GP
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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 200 students who completed this core set of courses results in a mean math score of 24.4 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.
a) State the appropriate null and alternative hypotheses. Fill in the correct answers below.
The appropriate null and alternative hypotheses are Ho: H
24 versus H;:
24.
>
b) Verify that the requirements to perform the test using the t-distribution are satisfied. Check all that apply.
A. The students' test scores were independent of one another.
B. The students were randomly sampled.
C. The sample data come from a population that is approximately normal.
D. A boxplot of the sample data shows no outliers.
E. The sample size is larger than 30.
F. None of the requirements are satisfied.
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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