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

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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

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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