2
QuizMultiple Choice

Testing a Claim about a Mean Difference

Question 2 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)

A nurse at a local hospital wonders if the firstborn twin is taller than the second-born. He randomly selects the medical records of 33 sets of twins and finds the differences (firstborn – second-born) in the twins’ heights, in centimeters. The mean of the differences is 1.1 centimeters with a standard deviation of 2.3 centimeters. Assuming that the conditions for inference are met, what is the test statistic for testing the hypotheses ?

Question illustration
Answer
A
t = StartStartFraction 0 minus 1.1 OverOver StartFraction 2.3 Over StartRoot 33 EndRoot EndFraction EndEndFraction
Option A
B
t = StartStartFraction 0 minus 1.1 OverOver StartRoot StartFraction 2.3 Over 33 EndFraction EndRoot EndEndFraction
Option B
C
t = StartStartFraction 1.1 minus 0 OverOver StartFraction 2.3 Over StartRoot 33 EndRoot EndFraction EndEndFraction
Option C
D
t = StartStartFraction 1.1 minus 0. OverOver StartRoot StartFraction 2.3 Over 33 EndFraction EndRoot EndEndFraction
Option D
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