A college entrance exam company determined that a score of 20 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 suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 20 on the mathematics portion of the exam? Complete parts a) through d) below. E Click the icon to view the table of critical t-values. core set of courses results in a mean math score of 20.4 on the college entrance exam with a standard deviation of 3.2. Do these results (a) State the appropriate null and alternative hypotheses. Fill in the correct answers below. The appropriate null and alternative hypotheses are Ho: versus H,: (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. O A. The students' test scores were independent of one another. O B. The students were randomly sampled. Oc. The sample size is larger than 30. O D. A boxplot of the sample data shows no outliers. O E. The sample data come from a population that is approximately normal. OF. 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.) Approximate the P-value The P-value is in the range
A college entrance exam company determined that a score of 20 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 suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 20 on the mathematics portion of the exam? Complete parts a) through d) below. E Click the icon to view the table of critical t-values. core set of courses results in a mean math score of 20.4 on the college entrance exam with a standard deviation of 3.2. Do these results (a) State the appropriate null and alternative hypotheses. Fill in the correct answers below. The appropriate null and alternative hypotheses are Ho: versus H,: (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. O A. The students' test scores were independent of one another. O B. The students were randomly sampled. Oc. The sample size is larger than 30. O D. A boxplot of the sample data shows no outliers. O E. The sample data come from a population that is approximately normal. OF. 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.) Approximate the P-value The P-value is in the range
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Transcribed Image Text:A college entrance exam company determined that a score of 20 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 20.4 on the college entrance exam with a standard deviation of 3.2. Do these results
suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 20 on the mathematics portion of the exam? Complete parts a) through d) below.
E 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 H
Vversus H,:
(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 students' test scores were independent of one another.
O B. The students were randomly sampled.
C. The sample size is larger than 30.
O D. A boxplot of the sample data shows no outliers.
O E. The sample data come from a population that is approximately normal.
OF. 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.)
Approximate the P-value.
The P-value is in the range
(d) Write a conclusion based on the results.
V the null hypothesis and claim that there
V sufficient evidence to conclude that the population mean is
V than 20.
O Time Remaining: 01:22:33
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