Question

A random sample of 9 teenagers was timed in a simulator for bringing a car to a full stop from a speed of 60 mph. They were timed (in seconds) in two different ways. Once under normal unimpaired conditions and the other while wearing a special pair goggles that are meant to simulate the effects of alcohol on vision. Below are their times. Student 1 2 3 4 5 6 7 8 9 Normal 4.47 | 4.24 4.58 | 4.65 4.61 4.80 4.55 5.00 4.79 Impaired 5.37 5.67 5.81 5.52 5.83 5.99 5.58 5.71 5.63 At the 5% level of significance, do the data support a conclusion that reaction times increased while impaired?

This is either a T-Test of a 2SampT-Test, determine which one it is. Preferred work shown from a TI-84 (or above) calculator. Please avoid writing out the equations, all I need is the work found on the calculator and the process of finding it. Thank you.

Answer 1

Let , mean time to stop under normaf conditione time to stor unden mpafred condilion Also, null tHypoests & ternalve typotheris Test- Statistic, T- Sp ohene 4-4974.24 +4.5+ 4.65 +4.61+4-80+4 55+ 5t4.3 4-6322 5.31+ 5-G7+5.81+ 5.52 +5.S 3+5.97+5.58+5.71+543 5 G769 duiation standand S S (4-63-4.49(463-4.24)t (.63-4.5)+(4+63-4.65) +4-3-4-G1)2+ (4.63-480)+ (4-63-4-55)+ (46s-5)t(.63-4.) (N=T)

(5-61-5.31+6-67-5-6)+ (5.61-5.81)+ (5-6-5.52) + C56-5-83) (5-61-57)+ (5-6-5.58)+(567-5-71) +(5-67-5-63) S2 O-1839 the values of have as Also, we values of Substitubing all Tet as we T = ST 4.6322- 5.689 0.2176) C0-1839)2 1.046 (0.0338) 1102

So, unden null hypotheris , Ho Tot -dictributon with (n, +n-) d (949-2) d4 9p.91 P (T-I1-02) o Hence P-value the P-value< level of Significance (0-05) Since, we have the have to eject Ho feason we Hene, to Support is enough erdence thene conclude we inereased t mes reaclion claim that the fro paired while