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Do SAT scores for high school students differ depending on the students' intended field of study? Thirty five students who intended to major in engineering were compared with 35 students who intended to major in language and literature. Given in the accompanying table are the means and standard deviations of the scores on the verbal and mathematics portion of the SAT for the two groups of students: VERBAL ΜΑΤΗ Engineering (n = 35) ý = 446 s = 42 j = 548 s = 57 Language/Literature (n = 35) ý = 534 s = 45 j = 517 s = 52 The questions follow on page 2. Probability tables are provided at the back of the test. 1 1. Name the three components of a confidence interval 2. Suppose you want to estimate the true mean verbal score of engineering students. Given the information provided in the table, which sampling distribution would you assume in this case and why 3. Construct a 95% confidence interval for the average verbal scores of students majoring in engineering. Interpret your answer

Do SAT scores for high school students differ depending on the students' intended field of study? Thirty five students who intended to major in engineering were compared with 35 students who intended to major in language and literature. Given in the accompanying table are the means and standard deviations of the scores on the verbal and mathematics portion of the SAT for the two groups of students: VERBAL ΜΑΤΗ Engineering (n = 35) ý = 446 s = 42 j = 548 s = 57 Language/Literature (n = 35) ý = 534 s = 45 j = 517 s = 52 The questions follow on page 2. Probability tables are provided at the back of the test. 1 1. Name the three components of a confidence interval 2. Suppose you want to estimate the true mean verbal score of engineering students. Given the information provided in the table, which sampling distribution would you assume in this case and why 3. Construct a 95% confidence interval for the average verbal scores of students majoring in engineering. Interpret your answer

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Do SAT scores for high school students differ depending on the students' intended field of study? Thirty five students who intended to major in engineering were compared with 35 students who intended to major in language and literature. Given in the accompanying table are the means and standard deviations of the scores on the verbal and mathematics portion of the SAT for the two groups of students: VERBAL ΜΑΤΗ Engineering (n = 35) y = 446 s = 42 j = 548 s = 57 Language/Literature (n = 35) y = 534 s = 45 j = 517 s = 52 The questions follow on page 2. Probability tables are provided at the back of the test. 1 1. Name the three components of a confidence interval 2. Suppose you want to estimate the true mean verbal score of engineering students. Given the information provided in the table, which sampling distribution would you assume in this case and why 3. Construct a 95% confidence interval for the average verbal scores of students majoring in engineering. Interpret your answer
Transcribed Image Text:Do SAT scores for high school students differ depending on the students' intended field of study? Thirty five students who intended to major in engineering were compared with 35 students who intended to major in language and literature. Given in the accompanying table are the means and standard deviations of the scores on the verbal and mathematics portion of the SAT for the two groups of students: VERBAL ΜΑΤΗ Engineering (n = 35) y = 446 s = 42 j = 548 s = 57 Language/Literature (n = 35) y = 534 s = 45 j = 517 s = 52 The questions follow on page 2. Probability tables are provided at the back of the test. 1 1. Name the three components of a confidence interval 2. Suppose you want to estimate the true mean verbal score of engineering students. Given the information provided in the table, which sampling distribution would you assume in this case and why 3. Construct a 95% confidence interval for the average verbal scores of students majoring in engineering. Interpret your answer
Given the 95% confidence interval for the average verbal scores of stu- dents majoring in language/literature is [520, 550] and comparing it to your answer in (3), would you say there is a difference between the average verbal scores of students majoring in engineering and those majoring in lan- guage/literature? Explain your answer.
Transcribed Image Text:Given the 95% confidence interval for the average verbal scores of stu- dents majoring in language/literature is [520, 550] and comparing it to your answer in (3), would you say there is a difference between the average verbal scores of students majoring in engineering and those majoring in lan- guage/literature? Explain your answer.
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