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 MATH Engineering (n = 35) Language/Literature (n 35) y = 446 s = 42 j = 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. 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

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Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.