The College Board states that the average math SAT score is 514 with a standard deviation of 117 Colleen gathered data from 50 students in her graduating class and found the average score to be 523 She thinks that her class’s math SAT score is different from the average. Which of the following are the correct null hypothesis and alternate hypothesis?
Answer
A
ratio of cap h sub 0 to mu is equal to 514 ; ratio of cap h sub A to mu is greater than 514
B
ratio of cap h sub 0 to mu is not equal to 514 ; ratio of cap h sub A to mu is equal to 523
C
ratio of cap h sub 0 to mu is equal to 514 ; ratio of cap h sub A to mu is not equal to 514
D
ratio of cap h sub 0 to mu is equal to 514 ; ratio of cap h sub A to mu is equal to 523
Explanation
The null hypothesis uses the College Board’s stated population mean: μ = 514. Because Colleen thinks her class’s average is different, the alternative must be two-sided: μ ≠ 514. The sample average of 523 is evidence to test the hypotheses, not the value used in the alternative hypothesis.
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