Question

Dr. Chase wants to investigate how cell phone use impacts reaction time. To test this, Dr. Chase conducted a study where participants are randomly assigned to one of two conditions while driving: no cell phone or cell phone. Participants were then instructed to complete a driving simulator course where reaction times (in milliseconds) were recorded by how quickly they hit the breaks in response to a dog crossing the middle of the road during the course. Below are the data. What can be concluded with an α of 0.05?

cell phone	no cell phone
232 238 227 228 227	235 241 239 243 232

a) What is the appropriate test statistic?
---Select--- na z-test One-Sample t-test Independent-Samples t-test Related-Samples t-test

b)
Condition 1:
---Select--- reaction time cell phone cell phone simulator course the dog
Condition 2:
---Select--- reaction time cell phone cell phone simulator course the dog

c) Obtain/compute the appropriate values to make a decision about H₀.
(Hint: Make sure to write down the null and alternative hypotheses to help solve the problem.)
critical value =  ; test statistic =
Decision:  ---Select--- Reject H0 Fail to reject H0

d) If appropriate, compute the CI. If not appropriate, input "na" for both spaces below.
[  ,  ]

e) Compute the corresponding effect size(s) and indicate magnitude(s).
If not appropriate, input and/or select "na" below.
d =  ;  ---Select--- na trivial effect small effect medium effect large effect
r² =  ;  ---Select--- na trivial effect small effect medium effect large effect

f) Make an interpretation based on the results.

a. No cell phone results in significantly quicker reaction time than cell phone use.

b. No cell phone results in significantly slower reaction time than cell phone use.   

c. There is no significant reaction time difference between no cell phone use or cell phone use.

Answer 1

a) the appropriate test statistic= Independent-Samples t-test

b) Condition 1:cell phone
Condition 2: No cell phone

c)

t= 0.569

degrees of freedom= n1+n2-2=5+5-2=8

t critical =2.306,

The p-value is p = 0.5852, and since p=0.5852≥0.05, it is concluded that the null hypothesis is not rejected.

Decision: DO NOT REJECT H0

d) The 95% confidence interval is −23.216<μ1​−μ2​<38.416

e) d= Cohen's d = (230.4 - 238) ⁄ 4.5967 = 1.65336. LARGE

r^2= t^2/t^+df= 0.0389 SMALL EFFECT

f) There is no significant reaction time difference between no cell phone use or cell phone use.