Two siblings, Alice and Sean, are both convinced that they are faster than the other at solving a puzzle cube. They recorded the length of time it took them to solve the cube 18 times each during a one-month period. Then each calculated the mean amount of ti in minutes, for their times. Let u equal the mean time it took Alice to solve the puzzle cube and is equal the mean time it took Sean. Which of the following are the appropriate null and alternative hypotheses to test for a difference in time for the siblings to s Họ : HA - Hs -0 0< Sf - Vit : "H H : HA - Hs >0 0> St - Vit : °H Ho : HA - s= 0 H : HA - s 0 Họ :A -is 0 H, : A - is >0 Họ : Hs - HA -0 0< Vrl - St: "H

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Two siblings, Alice and Sean, are both convinced that they are faster than the other at solving a puzzle cube. They recorded the length of time it took them to solve the cube 18 times each during a one-month period. Then each calculated the mean amount of time and standard deviation,
in minutes, for their times. Let u A equal the mean time it took Alice to solve the puzzle cube and us equal the mean time it took Sean. Which of the following are the appropriate null and alternative hypotheses to test for a difference in time for the siblings to solve the cube?
SH – Vl : °H
Hs >0
Ha : HA
Ho : HA - Hs < 0
в
Ha : HA
Hs >0
Ho : HA - Hs = 0
Ha : HA - Hs #0
Ho : TA - Ts = 0
Ha : TA - īs >0
0 = Vrl – Srl : 'H
0 < Vrl – St : 'H
Transcribed Image Text:Two siblings, Alice and Sean, are both convinced that they are faster than the other at solving a puzzle cube. They recorded the length of time it took them to solve the cube 18 times each during a one-month period. Then each calculated the mean amount of time and standard deviation, in minutes, for their times. Let u A equal the mean time it took Alice to solve the puzzle cube and us equal the mean time it took Sean. Which of the following are the appropriate null and alternative hypotheses to test for a difference in time for the siblings to solve the cube? SH – Vl : °H Hs >0 Ha : HA Ho : HA - Hs < 0 в Ha : HA Hs >0 Ho : HA - Hs = 0 Ha : HA - Hs #0 Ho : TA - Ts = 0 Ha : TA - īs >0 0 = Vrl – Srl : 'H 0 < Vrl – St : 'H
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