Question 3 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)
A statistics teacher is interested in whether there is a difference in the accuracy of dominant versus nondominant hands. She asks her students to roll a ball, once with each hand, toward a target. The students then measure the distance, in centimeters, between the ball and the target. Students will determine which hand they use first by tossing a coin. The differences (nondominant – dominant) in the distances for each student are listed.28, –33, 25, 41, –14, 21, 12, –30, 17, 26, 32, 27, –25, 18, 10, 22, –19, 4, 31, 19
Answer
A
H Subscript 0 Baseline: mu Subscript difference Baseline = 0, H Subscript alpha Baseline: mu Subscript difference Baseline not-equals 0
B
H Subscript 0 Baseline: x Overbar Subscript difference Baseline = 0, H Subscript alpha Baseline: x Overbar Subscript difference Baseline not-equals 0
C
H Subscript 0 Baseline: mu dominant = mu nondominant, H Subscript alpha Baseline: mu dominant not-equals mu nondominant
D
H Subscript 0 Baseline: x Overbar dominant = x Overbar nondominant, H Subscript alpha Baseline: x Overbar dominant not-equals x Overbar nondominant