The researcher used the appropriate test statistic. What is the observed value o
ID: 3157013 • Letter: T
Question
The researcher used the appropriate test statistic. What is the observed value of this calculation? (Complete Question Provided in Picture).
22. A researcher interested in whether candy bars increase happiness randomly assigned 3 FAU students to eat a candy bar and 3 FAU students to not eat a candy bar, and subsequently measured how happy they were on a scale of 1 to 12 increasing values indicate increasing happiness). The following table displays the data for each sample. Candy Bar Yes 6 The researcher used the appropriate test statistic. What is the observed value of his calculation? a. 1.15 b. 0.82 c. 2.00 d. 1.63 e. 1.96Explanation / Answer
For small sample size, compute 2-sample t test to test the claim.
SE(x1bar-x2bar)=sqrt [s1^2/n1+s2^2/n2], where, x1bar, x2bar, denote sample mean for students eating a candy bar and students not eating a candy bar, s1 and s2 are respective standard deviations, and n1 and n2 are respective sample sizes.
=sqrt[3^3/3+3^3/3]=2.45
t4=(x1bar-x2bar)/SE(x1bar-x2bar)=(8-6)/2.45=0.82 (b)