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 20.5 on the college entrance exam with a standard deviation of 3 6. 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. The appropriate null and alternative hypotheses are Ho versus H, VV 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 sample data come from a population that is approximately normal. C. The sample size is larger than 30. D. A boxplot of the sample data shows no outliers E. The students were randomly sampled. F. None of the requirements are satisfied =) Use the P-value approach at the a=0.10 level of significance to test the hypotheses in part (a) dentify the test statistic =(Round to two decimal places as needed.) entify the P-value. value= (Round to three decimal places as needed.) Write a conclusion based on the results. Choose the correct answer below. 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 150 students who completed this core set of courses results in a mean math score of 20.5 on the college entrance exam with a standard deviation of 3 6. 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. The appropriate null and alternative hypotheses are Ho versus H, VV 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 sample data come from a population that is approximately normal. C. The sample size is larger than 30. D. A boxplot of the sample data shows no outliers E. The students were randomly sampled. F. None of the requirements are satisfied =) Use the P-value approach at the a=0.10 level of significance to test the hypotheses in part (a) dentify the test statistic =(Round to two decimal places as needed.) entify the P-value. value= (Round to three decimal places as needed.) Write a conclusion based on the results. Choose the correct answer below. the null hypothesis and claim that there sufficient evidence to conclude that the population mean is than 20.
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 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 20.5 on the college entrance exam with a standard deviation of 3.6. 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.
The appropriate null and alternative hypotheses are Ho
versus H₁
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 sample data come from a population that is approximately normal.
OC. The sample size is larger than 30.
D. A boxplot of the sample data shows no outliers.
E. The students were randomly sampled
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).
dentify the test statistic.
=(Round to two decimal places as needed.)
dentify the P-value.
-value =
(Round to three decimal places as needed.)
) Write a conclusion based on the results. Choose the correct answer below.
the null hypothesis and claim that there
sufficient evidence to conclude that the population mean is
than 20.
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