In an online psychology experiment sponsored by the University of Mississippi, researchers asked study participants to respond to various stimuli. Participants were randomly assigned to one of three groups. Subjects in group 1 were in the simple group (to respond as quickly as possible to a stimulus). Subjects in group 2 were the go/no-go group (respond to a particular stimulus while ignoring others). Subjects in group 3 were the choice group (respond differently to stimuli). Depending on the type of whistle sound, the subject must press a certain button. The reaction time (in seconds) for each stimulus is presented in the table group 1 were in the table 1. Simple 0.430 0.498 0.480 0.376 0.402 0.329
2. Go/No Go 0.588 0.375 0.409 0.613 0.481 0.355
3. Choice 0.561 0.498 0.519 0.538 0.464 0.725
(a) State the null hypothesis.
(b) Summarize the data nyE 5,2.
(c) Find the pooled sample size.
(d) Find the pooled sample mean.
(e) Calculate the SSE.
(f) Calculate SSG.
(g) Calculate the F-value.
(h) Calculate the P-value.
(i) Complete the ANOVA Table:
Source of Variation SS df MS P-value
Between Groups
Within Groups
Total
(j) Construct a 95% confidence interval for the mean response time of the GoNoGo Group.
(k) Construct a 95% confidence interval for the difference in the mean response time between the Simple and Choice Groups.