Do SAT scores for high school students differ depending on the students' intended field of study? Fifteen students who intended to major in engineering were compared with 15 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 MATH Engineering (n = 15) y = 446 s = 42 = 548 s = 57 Language/Literature (n = 15) j = 534 s = 45 = 517 s = 52 The questions follow on page 2. Probability tables are provided at the back of the test. 1. Construct a 95% confidence interval for the difference between the average math scores of students majoring in engineering and those majoring in language/literature. Would you say there is a differ- ence between the average math scores of students majoring in engineering and of those majoring in language/literature? Explain. 2. Construct a 95% confidence interval for the standard deviation of math scores of students majoring in engineering. Interpret.

Do SAT scores for high school students differ depending on the students' intended field of study? Fifteen students who intended to major in engineering were compared with 15 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 MATH Engineering (n = 15) y = 446 s = 42 = 548 s = 57 Language/Literature (n = 15) j = 534 s = 45 = 517 s = 52 The questions follow on page 2. Probability tables are provided at the back of the test. 1. Construct a 95% confidence interval for the difference between the average math scores of students majoring in engineering and those majoring in language/literature. Would you say there is a differ- ence between the average math scores of students majoring in engineering and of those majoring in language/literature? Explain. 2. Construct a 95% confidence interval for the standard deviation of math scores of students majoring in engineering. Interpret.

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Do SAT scores for high school students differ depending on the students' intended field of study? Fifteen
students who intended to major in engineering were compared with 15 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
MATH
Engineering (n = 15)
Language/Literature (n = 15)
y = 446
s = 42 y = 548
s = 57
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. Construct a 95% confidence interval for the difference between the average math scores of students
majoring in engineering and those majoring in language/literature. Would you say there is a differ-
ence between the average math scores of students majoring in engineering and of those majoring in
language/literature? Explain.
2. Construct a 95% confidence interval for the standard deviation of math scores of students majoring
in engineering. Interpret.

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