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A college entrance exam company determined that a score of 22 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 22.7 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 22 on the mathematics portion of the exam? Complete parts a) through d) below. 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. c) Use the P-value approach at the x = 0.10 level of significance to test the hypotheses in part (a). Identify the test statistic. to 3.09 (Round to two decimal places as needed.) Identify the P-value. P-value = 0.001 (Round to three decimal places as needed.) d) Write a conclusion based on the results. Choose the correct answer below. Do not reject the null hypothesis and claim that there is not sufficient evidence to conclude that the population mean is greater than 22.

A college entrance exam company determined that a score of 22 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 22.7 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 22 on the mathematics portion of the exam? Complete parts a) through d) below. 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. c) Use the P-value approach at the x = 0.10 level of significance to test the hypotheses in part (a). Identify the test statistic. to 3.09 (Round to two decimal places as needed.) Identify the P-value. P-value = 0.001 (Round to three decimal places as needed.) d) Write a conclusion based on the results. Choose the correct answer below. Do not reject the null hypothesis and claim that there is not sufficient evidence to conclude that the population mean is greater than 22.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 69E
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A college entrance exam company determined that a score of 22 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 22.7 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 22 on the mathematics portion of the exam? Complete parts a) through d) below. 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. c) Use the P-value approach at the α = 0.10 level of significance to test the hypotheses in part (a). Identify the test statistic. to = 3.09 (Round to two decimal places as needed.) Identify the P-value. P-value = 0.001 (Round to three decimal places as needed.) d) Write a conclusion based on the results. Choose the correct answer below. Do not reject the null hypothesis and claim that there is not sufficient evidence to conclude that the population mean is greater than 22.
Transcribed Image Text:A college entrance exam company determined that a score of 22 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 22.7 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 22 on the mathematics portion of the exam? Complete parts a) through d) below. 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. c) Use the P-value approach at the α = 0.10 level of significance to test the hypotheses in part (a). Identify the test statistic. to = 3.09 (Round to two decimal places as needed.) Identify the P-value. P-value = 0.001 (Round to three decimal places as needed.) d) Write a conclusion based on the results. Choose the correct answer below. Do not reject the null hypothesis and claim that there is not sufficient evidence to conclude that the population mean is greater than 22.
One or more of your responses is incorrect. At least one of your answers is incorrect. Reject the null hypothesis if the test statistic is greater than the critical value-then there is sufficient evidence to conclude that H₁ is true. Otherwise, do not reject Hō and conclude that there is not sufficient evidence to support the statement in H₁. OK X s in part (a). P-value = 0.001 (Round to three decimal places as needed.) d) Write a conclusion based on the results. Choose the correct answer below. Do not reject the null hypothesis and claim that there is not sufficient evidence to conclude that the population mean is greater than 22.
Transcribed Image Text:One or more of your responses is incorrect. At least one of your answers is incorrect. Reject the null hypothesis if the test statistic is greater than the critical value-then there is sufficient evidence to conclude that H₁ is true. Otherwise, do not reject Hō and conclude that there is not sufficient evidence to support the statement in H₁. OK X s in part (a). P-value = 0.001 (Round to three decimal places as needed.) d) Write a conclusion based on the results. Choose the correct answer below. Do not reject the null hypothesis and claim that there is not sufficient evidence to conclude that the population mean is greater than 22.
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