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 200 students who completed this core set of courses results in a mean math score of 20.3 on the college entrance exam with a standard deviation of 3.4. 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. Click the icon to view the table of critical t-values. (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. 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 x = 0.05 level of significance to test the hypotheses in part (a). Identify the test statistic. (Round to two decimal places as needed.) to Approximate the P-value. The P-value is in the range (d) Write a conclusion based on the results. the null hypothesis and claim that there sufficient evidence to conclude that the population mean is than 20.
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 200 students who completed this core set of courses results in a mean math score of 20.3 on the college entrance exam with a standard deviation of 3.4. 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. Click the icon to view the table of critical t-values. (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. 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 x = 0.05 level of significance to test the hypotheses in part (a). Identify the test statistic. (Round to two decimal places as needed.) to Approximate the P-value. The P-value is in the range (d) Write a conclusion based on the results. the null hypothesis and claim that there sufficient evidence to conclude that the population mean is than 20.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
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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 200 students who completed this core set of courses results in a mean
math score of 20.3 on the college entrance exam with a standard deviation of 3.4. 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.
Click the icon to view the table of critical t-values.
(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.
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 x = 0.05 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.
the null hypothesis and claim that there
sufficient evidence to conclude that the population mean is
than 20.
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