A college entrance exam company determined that a score of 23 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 23.7 on the college entrance exam with a standard deviation of 3.7. Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 23 on the math portion of the exam? Complete parts a) through d) below. Identify the test statistic. to = 2.32 (Round to two decimal places as needed.) Identify the P-value. P-value = 0.011 (Round to three decimal places as needed.) d) Write a conclusion based on the results. Choose the correct answer below. the null hypothesis and claim that there V sufficient evidence to conclude that the population mean is V than 23.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
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A college entrance exam company determined that a score of 23 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 23.7 on the college entrance exam with a standard deviation of 3.7. Do these results
suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 23 on the math portion of the exam?
Complete parts a) through d) below.
b) Verify that the requirements to perform the test using the t-distribution are satisfied. Check all that apply.
A. The students were randomly sampled.
B. The students' test scores were independent of one another.
C. The sample size is larger than 30.
D. None of the requirements are satisfied.
Transcribed Image Text:A college entrance exam company determined that a score of 23 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 23.7 on the college entrance exam with a standard deviation of 3.7. Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 23 on the math portion of the exam? Complete parts a) through d) below. b) Verify that the requirements to perform the test using the t-distribution are satisfied. Check all that apply. A. The students were randomly sampled. B. The students' test scores were independent of one another. C. The sample size is larger than 30. D. None of the requirements are satisfied.
A college entrance exam company determined that a score of 23 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 23.7 on the college entrance exam with a standard deviation of 3.7. Do these results
suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 23 on the math portion of the exam?
Complete parts a) through d) below.
...
Identify the test statistic.
to = 2.32 (Round to two decimal places as needed.)
Identify the P-value.
P-value = 0.011 (Round to three decimal places as needed.)
d) 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 23.
Transcribed Image Text:A college entrance exam company determined that a score of 23 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 23.7 on the college entrance exam with a standard deviation of 3.7. Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 23 on the math portion of the exam? Complete parts a) through d) below. ... Identify the test statistic. to = 2.32 (Round to two decimal places as needed.) Identify the P-value. P-value = 0.011 (Round to three decimal places as needed.) d) 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 23.
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